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operator overloading





Encyclopedia results for operator overloading

  1. Operator overloading

    Polymorphism In object oriented computer programming , operator overloading less commonly known as operator ... the integers a, b, c a b c In a language that supports operator overloading, and assuming the operator ... return temp source Note that a unary operation unary operator defined as a class method would receive no apparent argument it only works from code this code source lang cpp bool Time operator const return hours 0 && minutes 0 && seconds 0 source Criticisms Operator overloading has often been criticized ... overloading allows the original programmer to change the usual semantics of an operator and to catch ... Basic 2005 Timeline of operator overloading 1960s The ALGOL 68 specification allowed operator .... C s operator overloading is further refined from that of ALGOL 68 s. ref cite web title A History ... accessdate April 2007 ref 1990s Sun chooses not to include operator overloading in the Java language ... Simple.doc2.html ref 2001 Microsoft includes operator overloading in C Sharp programming language ... References references DEFAULTSORT Operator Overloading Category Articles with example ALGOL 68 code ... nl Operator overloading pl Przeci anie operator w ru ... , where different operator programming operator s have different implementations depending on their arguments. Operator overloading is generally defined by the language, the programmer, or both. Operator programming Operator overloading is useful in closer to the target domain ref cite web title C FAQ Lite What are the benefits of operator overloading? url http www.parashift.com c faq lite operator overloading.html faq 13.2 accessdate August 2010 year 2010 month June ref development. It also ... add a, multiply b,c Examples In this case, the addition operator is overloaded to allow addition on a user defined type Time in C source lang cpp Time operator const Time& lhs, const Time& rhs Time ... modifiable lvalue source lang cpp Time Time operator const Time& rhs const Time temp this Copy ...   more details



  1. Overloading

    Wiktionary The terms overloading and overloaded may refer to Constructor and method overloading , in computer science, a type of Polymorphism in object oriented programming polymorphism where different functions with the same name are invoked based on the data types of the parameters passed Operator overloading , a form of functional or method overloading where the action being overloaded is an operator, such as code code or code code Overloading chess , a tactical theme arising out of an opponent piece performing more than one defensive task in the game Overloading, in weight training , refers to performing exercises with higher resistance than the muscles can handle, causing microtrauma which leads to hypertrophy or muscle growth Overloaded The Singles Collection , a greatest hits compilation album by the group Sugababes The act of running a machine or device, such as an engine, at a rate, burden or power level higher than it can handle, risking permanent damage to the machine. disambig ...   more details



  1. Function overloading

    Method overriding Operator overloading Method signature External links Bertrand Meyer Overloading ...Unreferenced date June 2008 Function overloading or method overloading is a feature found in various programming language s such as Ada programming language Ada , C Sharp programming language C , VB.NET , C , D programming language D and Java programming language Java that allows the creation of several subprogram method s with the same name which differ from each other in terms of the type of the input and the type of the output of the function. For example, doTask and doTask object O are overloaded methods. To call the latter, an Object computer science object must be passed as a parameter , whereas the former does not require a parameter, and is called with an empty parameter field. A common error would be to assign a default value to the object in the second method, which would result in an ambiguous call error, as the compiler wouldn t know which of the two methods to use. Another example would be a Print object O method. In this case one might like the method to be different when printing, for example, text or pictures. The two different methods may be overloaded as Print text object T Print image object P . If we write the overloaded print methods for all objects our program will print , we never have to worry about the type of the object, and the correct subroutine function call again, the call is always Print something . Method overloading is usually associated with static typing statically typed programming languages which enforce type checking in function call s. When overloading a method, you are really just making a number of different methods that happen to have the same name. It is resolved at compile time which of these methods are used. Method overloading ... reason http www.haskell.org haskellwiki Ad hoc polymorphism date December 2008 Constructor overloading ... the main program source lang cpp Bill cafe cafe.tip 10.00 cafe.total 4.00 source By overloading the constructor ...   more details



  1. Overloading (chess)

    chess notation Chess diagram tright Krasenkow Karpov bl kd pd pd pd pd qd nd pd bd rl ql pl pl rd pl rl kl Black to play Overloading is a chess Chess tactic tactic in which a defensive piece is given an additional defensive assignment which it cannot complete without abandoning its original defensive assignment. Micha Krasenkow Krasenkow Anatoly Karpov Karpov ref http www.chessgames.com perl chessgame?gid 1259561 Krasenkow Karpov ref , in the first round of the 2003 Corus chess tournament , reached the diagrammed position with Black to play. As the white rook on f1 is tied to the defense of the pawn on f3, Black won immediately with 1... Re1, overloading the rook. If 2.Rxe1, or 2. Qc4, then 2... Qxf3 . If 2.Kg2, then similarly, 2... Rxf1 3.Kxf1 Qxf3 and 4...Qxd5. References Reflist chess stub Category Chess tactics Category Chess terminology ca Sobrec rrega escacs de berlastung Schach lb Iwwerlaaschtung Schach nl Overbelasting schaken ru ...   more details



  1. Operator

    wiktionary Operator operator operators Operator may refer to tocright Music Operator band , an American hard rock band Operator Motown song Operator Motown song , a 1965 work recorded by Mary Wells and Brenda Holloway Operator That s Not the Way It Feels Operator That s Not the Way It Feels , a song on Jim Croce s 1972 album You Don t Mess Around with Jim Operator Midnight Star song Operator Midnight Star song , a 1984 song by Midnight Star Operator A Girl Like Me Operator A Girl Like Me , a 2008 song by Canadian pop rock singer Shiloh Operator , a song on The Grateful Dead s 1970 album American Beauty album American Beauty Operator , a song on The Manhattan Transfer s 1975 album The Manhattan Transfer album The Manhattan Transfer Operator , a song on Blue System s 1993 album Backstreet Dreams Operator , a song on Real McCoy s 1995 album Another Night Real McCoy album Another Night Computers Operator extension , an extension for the Firefox web browser, for reading microformats Operator programming , a type of computer program function Operator YAPO , a portable implementation of the Opera web browser formerly known as OperaTor Science and mathematics Operator mathematics , a function ... Arithmetic operation , symbols used in basic arithmetic operations Operator biology , a segment of DNA regulating the activity of genes Operator linguistics , a special category including wh interrogatives Operator physics , mathematical operators in quantum physics Fiction Operator Ghost in the Shell a group of gynoids in the Ghost in the Shell series Operator No. 5 , a pulp fiction hero from the 1930s. Operator The Matrix , a crew position in The Matrix franchise Other Telephone operator , person or company offering telephone services Operator profession , a description of profession, as in telephone operator, computer operator, etc Operator military , a soldier in a special operations force Network operator , a phone carrier Operator sternwheeler Operator sternwheeler , an early 20th ...   more details



  1. Operator, Operator

    Infobox Single See Wikipedia WikiProject Songs Name Operator, Operator Cover Artist Eddy Raven Album Love and Other Hard Times B side Just for the Sake of the Thrill ref name raven Released 1985 Format 7 single Recorded Genre Country music Country Length 3 04 Label RCA Records RCA Writer Larry Willoughby , Janet Willoughby Producer Paul Worley , Eddy Raven Last single She s Gonna Win Your Heart br 1984 This single Operator, Operator br 1985 Next single I Wanna Hear It from You br 1985 Misc Operator, Operator originally titled Heart on the Line Operator, Operator is a country music song co written and recorded by Larry Willoughby , a cousin of country music singer Rodney Crowell , and Janet Willoughby. He released the song in 1983 from the album Building Bridges , and took it to number 65 on the Hot Country Songs charts. ref name whitburn cite book last Whitburn first Joel title Hot Country Songs 1944 to 2008 publisher Record Research, Inc date 2008 page 469 isbn 0 89820 177 2 ref The Oak Ridge Boys also recorded it under the original title, as the b side to their 1983 single Love Song The Oak Ridge Boys song Love Song . ref Whitburn, p. 303 ref A 1985 recording by Eddy Raven , under the title Operator, Operator , appeared on his album Love and Other Hard Times . This version went to number 9 on the same chart. ref name raven Whitburn, p. 340 ref Chart performance Larry Willoughby class wikitable sortable align left Chart 1983 align center Peak br position align left U.S. Billboard Hot Country Singles align center 65 Eddy Raven class wikitable sortable align left Chart 1985 align center Peak br position align left U.S. Billboard Hot Country Singles align center 9 align left Canadian RPM Country Tracks align center 8 References reflist Category 1983 singles Category 1985 singles Category Eddy Raven songs Category Larry Willoughby songs Category Songs produced by Paul Worley 1980s country song stub ...   more details



  1. Operator (programming)

    calling notation and a limited set of parameters. Operator overloading main Operator overloading In some programming languages an operator may be ad hoc polymorphic , that is, have definitions for more than one kind of data, such as in Java programming language Java where the tt tt operator is used both for the addition of numbers and for the concatenation of strings . Such an operator is said to be overloaded . In languages that support operator overloading by the programmer but have a limited set of operators, operator overloading is often used to define customized uses for operators. Operand coercion see Type conversion Some languages also allow for the operands of an operator ... type to avoid subtle programming mistakes. Operator features in programming languages The following table shows the operator features in several programming languages class sortable wikitable Programming language Nonalphanumeric operator symbols Alphanumeric operator symbols Prefix Infix Postfix Precedence Associativity Overloading Programmer defined overloading Programmer defined operator symbols ... require the specification of the precedence and associativity of new operator symbols e.g. Prolog ... e.g., the ? operator in C . The position of the operator with respect to its operands may be Polish ... after the keyword No Yes Yes No No Yes Yes Yes See also Relational operator References reflist ... ja pl Operator programowanie ru uk ...   more details



  1. Hilbert operator

    Hilbert operator may refer to The epsilon operator in David Hilbert Hilbert s epsilon calculus . The Hilbert Schmidt operator s on a Hilbert space . The Hilbert Schmidt integral operator s. Generally, any operator on a Hilbert space . disambig ...   more details



  1. Operator (profession)

    Image Avenue of Stars boom operator.JPG thumb 200px Statue of a Boom operator media boom operator on the Avenue of Stars, Hong Kong Avenue of Stars in Hong Kong . other uses operator disambiguation An operator is a professional designation used in various industries, including broadcast ing television radio , computer , customer service , physics , and construction . Operators are day to day end user s of systems, that may or may not be mission critical , but are typically managed and maintained by technician s or engineer s. They might also work on a 24 hour rotating shift work shift schedule. Types of operators Broadcasting Technical operator, transmission controller or broadcast operator Network operations center NOC operator Master control MCR operator Production control room PCR operator Transmission control room TCR operator Video control operator VCO Videotape operator VTO Certified Television Operator CTO by Society of Broadcast Engineers SBE ref http www.sbe.org Society of Broadcast Engineers ref Certified Radio Operator CRO operator by SBE Television studio Studio technical operator gallery operator Vision mixer operator Sound and communications comms talkback recording talkback studio operator Image KC 135Boom operator 521.jpg thumb 210px KC 135 Stratotanker KC 135 Boom operator military Boom operator Jib camera operator Boom operator media Boom operator Dolly grip operator Others Computer operator Crane machine Crane operator Radio operator Satellite controller Telephone operator Winch operator Nuclear power plant operator Gallery gallery Image Hg winch operator.jpg Operator of a stationary winch, launching a hang glider . Image Telegraphone with operator.png Valdemar Poulsen Telegraphone with operator gallery See also List of occupations References reflist Job stub Category Occupations included for non broadcast occupations category broadcasting occupations cs Oper tor profese ru ...   more details



  1. Operator theory

    In mathematics , operator theory is the branch of functional analysis that focuses on bounded linear operator s, but which includes closed operator s and nonlinear operator s. Operator theory also includes the study of linear algebra algebra s of operators. Single operator theory Single operator theory deals with the properties and classification of single operators. For example, the classification of normal operator s in terms of their spectrum of an operator spectra falls into this category. Operator algebras The theory of operator algebra s brings algebra over a field algebra s of operators such as C algebra s to the fore. See also Invariant subspace Functional calculus Spectral theory Resolvent formalism Compact operator Fredholm theory of integral equation s Integral operator Fredholm operator Self adjoint operator Unbounded operator Differential operator Umbral calculus Contraction mapping Positive operator on a Hilbert space Perron Frobenius theorem Generalizations Nonnegative operator on a ordered vector space partially ordered vector space External links http www.mathphysics.com opthy OpHistory.html History of Operator Theory Mathanalysis stub Category Operator theory de Operatorenrechnung fa ko nl Operatorentheorie pt Teoria dos operadores ru tt uk vi L thuy t to n t ...   more details



  1. Relational operator

    b code code a code and code b code are pointers to objects sup 1 sup In C , the code code operator defaults to code ReferenceEquals code , but can be Operator overloading overloaded to perform code ...Mergefrom Comparison computer programming date December 2009 In computer science a relational operator is a programming language construct or Operator programming operator that tests some kind of relation mathematics relation between Binary function two entities . These include numerical equality mathematics equality e.g., 5    5 and inequalities e.g., 4    3 . In programming languages that include a distinct boolean data type in their type system , like Java programming language Java , these operators return true or false, depending on whether the conditional relationship between the two operands holds or not. In other languages such as C programming language C , relational operators ... operator forms what is known as a relational expression or a condition . Relational operators are also ... as ALGOL into this usage of the standard equality operator as a copy operator for updates and destructive ... operator include Pascal programming language Pascal , Object Pascal Delphi , Ada programming language ... operator inside an if statement, though there are some legitimate uses of an assignment ... operator can be substituted. This coding style is known as Coding conventions Left hand comparisons ..., with the code code operator able to return true if two values are equal, even if they have different types for example, code 4 4 code is true , and the code code operator returning true only if two ... at first, like the Boolean logic boolean logical operator s XOR, AND, OR, and NOT, relational operators ... y math math y x math math neg x geq y math math neg y leq x math See also Binary relation Common operator notation Equals sign Equality mathematics Logical operator Operation mathematics Operation Operator mathematics Triadic relation Spaceship operator References reflist DEFAULTSORT Relational Operator ...   more details



  1. Hello Operator

    Hello Operator may refer to Hello Operator band , a Canadian band Hello Operator single , by White Stripes Miss Susie , a children s song sometimes referred to as hello operator. disambig Long comment to avoid being listed on short pages sh Hello Operator ...   more details



  1. Disorder operator

    Unreferenced stub auto yes date December 2009 Disputed date March 2008 In theoretical physics , a disorder operator is an Operator mathematics operator that creates a discontinuity of the ordinary order operator s or a monodromy for their values. For example, a t Hooft operator is a disorder operator. So is the Jordan Wigner transformation . DEFAULTSORT Disorder Operator Category Quantum field theory Category Statistical mechanics Phys stub ...   more details



  1. Translation operator

    The translation operator can refer to these things A shift operator , which effects a geometric translation. See also Translation geometry . An alternative name for the displacement operator in quantum optics. Disambig ...   more details



  1. Inversion operator

    see also inversion In the mathematics , inversion operator can refer to the Operator mathematics operator which assigns the inverse element to an element of a group mathematics group Inversion in a point Chromosomal inversion , reordering of genes in a DNA sequence. mathdab ...   more details



  1. Convexoid operator

    In mathematics , especially operator theory , a convexoid operator is a bounded operator bounded linear operator T on a complex Hilbert space H such that the closure of the numerical range coincides with the convex hull of its spectrum. An example of such an operator is a normal operator or some of its generalization . It is not known whether a paranormal operator is a convexoid or not, I think. Taku. A closely related operator is a spectraloid operator an operator whose spectral radius coincides with its numerical radius . In fact, an operator T is convexoid if and only if math T lambda math is spectraloid for every complex number math lambda math . This result is due to Furuta, I believe Taku See also Aluthge transform References T. Furuta. http www.projecteuclid.org DPubS?service UI&version 1.0&verb Display&handle euclid.pja 1195526397 Certain convexoid operators Category Operator theory math stub ...   more details



  1. Hyponormal operator

    In mathematics , especially operator theory , a hyponormal operator is a generalization of a normal operator . In general, a bounded linear operator T on a complex Hilbert space H is said to be p hyponormal math 0 p le 1 math if math T T p ge TT p math That is to say, math T T p TT p math is a positive operator. If math p 1 math , then T is called a hyponormal operator. If math p 1 2 math , then T is called a semi hyponormal operator. Moreoever, T is said to be log hyponormal if it is invertible and math log T T ge log TT . math An invertible p hyponormal operator is log hyponormal. On the other hand, not every log hyponormal is p hyponormal. The class of semi hyponormal operators was introduced by Xia, and the class of p hyponormal operators was studied by Aluthge, who used what is today called the Aluthge transformation . Every subnormal operator in particular, a normal operator is hyponormal, and every hyponormal operator is a paranormal operator paranormal convexoid operator . Not every paranormal operator is, however, hyponormal. Let T be a hyponormal operator. If math T T TT math is compact, then T is normal. Maybe the statement isn t quite accurately stated. See also Putnam s inequality References http www.jstor.org pss 2162263 Category Operator theory math stub ...   more details



  1. Multiplication operator

    Unreferenced date December 2009 In operator theory , a multiplication operator is a linear operator T defined on some function space vector space of functions and whose value at a function is given by multiplication by a fixed function f . That is, math T varphi x f x varphi x quad math for all in the function space and all x in the domain mathematics domain of which is the same as the domain of f . This type of operators is often contrasted with composition operator s. Multiplication operators generalize the notion of operator given by a diagonal matrix . More precisely, one of the results of operator theory is a spectral theorem , which states that every self adjoint operator on a Hilbert space is unitarily equivalent to a multiplication operator on an Lp space L sup 2 sup space . Example Consider the Hilbert space X L sup 2 sup &minus 1, 3 of complex number complex valued square integrable functions on the interval mathematics interval &minus 1, 3 . Define the operator math T varphi x x 2 varphi x quad math for any function in X . This will be a self adjoint operator self adjoint bounded linear operator with operator norm norm 9. Its spectrum of an operator spectrum will be the interval 0, 9 the range mathematics range of the function x x sup 2 sup defined on &minus 1, 3 . Indeed, for any complex number , the operator T is given by math T lambda varphi x x 2 lambda varphi x . quad math It is invertible function invertible if and only if is not in 0, 9 , and then its inverse is math T lambda 1 varphi x frac 1 x 2 lambda varphi x quad math which is another multiplication operator. This can be easily generalized to characterizing the norm and spectrum of a multiplication operator on any Lp space . See also translation operator shift operator Decomposition of spectrum functional analysis DEFAULTSORT Multiplication Operator Category Functional analysis ...   more details



  1. Boom operator

    The term boom operator may refer to Boom operator military , a member of the crew aboard an aerial refueling tanker, responsible for flying the boom Boom operator media , a member of the crew of a film or radio project, responsible for operating a microphone and sound boom disambig ...   more details



  1. Volterra operator

    Unreferenced date December 2009 In mathematics , in the area of functional analysis and operator theory , the Volterra operator , named after Vito Volterra , represents the operation of indefinite integration , viewed as a bounded linear operator on the space L sup 2 sup 0,1 of complex valued square integrable function s on the interval 0,1 . It is the operator corresponding to the Volterra integral equation s. Definition The Volterra operator, V , may be defined for a function f s     L sup 2 sup 0,1 and a value t     0,1 , as math V f t int 0 t f s , ds . math Properties V is a bounded linear operator between Hilbert spaces, with Hermitian adjoint math V f t int t 1 f s , ds . math V is a Hilbert Schmidt operator , hence in particular is compact operator compact . V has no eigenvalue s and therefore, by the spectral theory of compact operators , its spectrum functional analysis spectrum V 0 . V is a quasinilpotent operator that is, the spectral radius , V , is zero , but it is not nilpotent . The operator norm of V is exactly V sup 2 sup sub sub . DEFAULTSORT Volterra Operator Category Operator theory ...   more details



  1. Paranormal operator

    In mathematics , especially operator theory , a paranormal operator is a generalization of a normal operator . More precisely, a bounded linear operator T on a complex Hilbert space H is said to be paranormal if math T 2x ge Tx 2 , math for every unit vector x in H . The class of paranormal operators was introduced by V. Istratescu in 1960s, though the term paranormal is probably due to Furuta. ref V. Istratescu. http projecteuclid.org DPubS Repository 1.0 Disseminate?view body&id pdf 1&handle euclid.pjm 1102992095 On some hyponormal operators ref ref name Furuta Every hyponormal operator in particular, a subnormal operator , a quasinormal operator and a normal operator is paranormal. If T is a paranormal, then T sup n sup is paranormal. ref name Furuta Furuta, Takayuki. http projecteuclid.org DPubS Repository 1.0 Disseminate?view body&id pdf 1&handle euclid.pja 1195521514 On the Class of Paranormal Operators ref On the other hand, Halmos gave an example of a hyponormal operator T such that T sup 2 sup isn t hyponormal. Consequently, not every paranormal operator is hyponormal. ref P.R.Halmos, A Hilbert Space Problem Book 2nd edition, Springer Verlag, New York, 1982. ref A compact paranormal operator is normal. ref Furuta, Takayuki. http www.journalarchive.jst.go.jp jnlpdf.php?cdjournal pjab1945&cdvol 47&noissue SupplementI&startpage 888&lang en&from jnlabstract Certain Convexoid Operators ref References reflist Category Operator theory math stub ...   more details



  1. Rotation operator

    Cleanup format date August 2008 For the term as used in 3 dimensional space, see Rotation operator vector space For the term as used in quantum mechanics, see Rotation operator quantum mechanics disambig ...   more details



  1. Operator YAPO

    Infobox Software name Operator YAPO screenshot Image Operator scr.png 250px caption OperaTor 2.2 showing the start page. developer http archetwist.com Arche Twist latest release version 1.0 latest release date release date and age 2010 01 06 operating system Microsoft Windows Windows genre Internet suite website http archetwist.com en opera operator Operator YAPO homepage Operator YAPO Yet Another Portable Opera is a portable version of the Opera web browser Opera web browser. It can be installed on portable data storage devices like pendrives, USB sticks and hard drives. ref http www.ghacks.net 2007 05 07 opera tor and privoxy combined gHacks Opera, Tor and Privoxy combined ref History Operator YAPO used to be known as OperaTor, a software bundle that consisted of Opera web browser Opera , Tor anonymity network Tor and Polipo . ref http sourceforge.net projects polipo SourceForge Polipo A caching HTTP proxy web cache ref ref Softpedia http www.softpedia.com get Internet Other Internet Related Polipo.shtml Polipo ref Its aim was to provide a way to surf the web Anonymity anonymously . OperaTor only anonymized the following two Protocol computing protocols Hypertext Transfer Protocol HTTP and Hypertext Transfer Protocol over Secure Socket Layer HTTPS . Other protocols like BitTorrent protocol BitTorrent or the complete part of Opera Mail would not be anonymized. Following the projects new name change, OperaTor no longer ships with Tor. Older versions of OperaTor are still available however, but are no longer supported. See also List of web browsers External links http archetwist.com opera operator Operator YAPO homepage References reflist OperaBrowser DEFAULTSORT Operator Yapo Category Opera Software ru OperaTor vi OperaTor zh Operator YAPO ...   more details



  1. Spaceship operator

    The spaceship operator , written code code , is a binary relational operator that originated in the Perl programming language . Other languages, such as Ruby programming language Ruby and Groovy programming language Groovy also support the spaceship operator. Unlike traditional equality operators, which will return 1 true or 0 false depending on whether the arguments are equal or unequal, the spaceship operator will return 1, 0, or &minus 1 depending on the value of the left argument relative to the right argument. If the left argument is greater than the right argument, the operator returns 1. If the left argument is less than the right argument, the operator returns &minus 1. If the two arguments are equal, the operator returns 0. If the two arguments cannot be compared e.g. one of them is NaN , the operator returns code undef code . In Perl, the code < > code operator only performs numeric comparisons. For string based comparison, the analogous code cmp code operator is used instead. As a formula math a texttt b begin cases 1 & mbox if a b, 0 & mbox if a b, 1 & mbox if a b, texttt undef & mbox otherwise. end cases math The spaceship operator is primarily used for comparisons in sorting . The spaceship operator takes its name because it looks like a small flying saucer as ASCII art . The term is now commonly used and the operator is referred by the name within the Perl Plain Old Documentation documentation . This operator is also used in ASCII based mathematical notation to represent less than, equal to or greater than , and is synonymous with the symbols unicode and unicode . It can be used to test if the result of a calculation is actually a number. Example source lang php a 5 7 a is set to 1 a 7 5 a is set to 1 a 6 6 a is set to 0 source External links wikibooks Perl Programming http perldoc.perl.org perlop.html Equality Operators equality equal equals operator 2c equality Reference to the properties of the operator within perldoc http perldoc.perl.org Math ...   more details



  1. Householder operator

    Unreferenced date November 2006 Orphan date November 2009 In Linear Algebra, define the Householder operator as follows. Let math V , math be a finite dimensional inner product space with unit vector math u in V math Then, the Householder operator is an Operator mathematics operator math H u V to V , math defined by math H u x x 2 langle x,u rangle u , math where math langle cdot, cdot rangle math is the inner product over math V , math Over a real vector space , the Householder operator is also known as the Householder transformation . The Householder operator has numerous properties such as linearity, being self adjoint, and is a unitary or orthogonal operator on V. Algebra stub Category Numerical linear algebra ...   more details




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