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Definition: EIGENVALUE

Part of Speech Definition
Noun 1. (mathematics) any number such that a given square matrix minus that number times the identity matrix has a zero determinant.[Wordnet].

Source: WordNet 3.0 Copyright © 2006 by Princeton University. All rights reserved.

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"Eigenvalue" is a common misspelling or typo for: eigenvalues.

Specialty Definition: EIGENVALUE

Domain Definition
Computing Eigenvalue The factor by which a linear transformation multiplies one of its eigenvectors. (1995-04-10) Source: The Free On-line Dictionary of Computing.
Aerospace See characteristic value problem. (references)
Electrical Engineering The one of the scalars lambda such that T (v)=lambda v, where T is a linear operator on a vector space, and v is an eigenvector. Source: European Union. (references)
Statistics The characteristic root of a square matrix A is a value (lambda) such that A-(lambda) I = 0, where I is the identity matrix. For a p x p matrix there are, in general, p such roots. Source: European Union. (references)

Source: compiled by the editor from various references; see credits.

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Common Expressions: EIGENVALUE

Expressions Definition
Divide-and-conquer eigenvalue algorithm Divide-and-conquer eigenvalue algorithms are a class of eigenvalue algorithms for Hermitian or real symmetric matrices that have recently (circa 1990s) become competitive in terms of stability and efficiency with more traditional algorithms such as the QR algorithm. The basic concept behind these algorithms is of course the famous divide-and-conquer approach from computer science. An eigenvalue problem is divided into two problems of roughly half the size, each of these are solved recursively, and the eigenvalues of the original problem are computed from the results of these smaller problems. (references)
Eigenvalue algorithm In linear algebra, one of the most important problems is designing efficient and stable algorithms for finding the eigenvalues of a matrix. These eigenvalue algorithms may also find eigenvectors. (references)
Eigenvalue of a matrix (mathematics) any number such that a given square matrix minus that number times the identity matrix has a zero determinant. Source: Wordnet 3.0 Copyright © 2006 by Princeton University. All rights reserved.
Eigenvalue of a square matrix (mathematics) any number such that a given square matrix minus that number times the identity matrix has a zero determinant. Source: Wordnet 3.0 Copyright © 2006 by Princeton University. All rights reserved.

Source: compiled by the editor from various references; see credits.

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Topics by Level of Interest: EIGENVALUE

Topics sorted by level of Interest Level (1=low, 600=high)     Topics sorted Alphabetically Level (1=low, 600=high)
Jacobi eigenvalue algorithm 30     Divide-and-conquer eigenvalue algorithm 17
Eigenvalue algorithm 20     Eigenvalue algorithm 20
Divide-and-conquer eigenvalue algorithm 17     Eigenvalue perturbation 13
Eigenvalue perturbation 13     Jacobi eigenvalue algorithm 30
Quadratic eigenvalue problem 5     Quadratic eigenvalue problem 5

Source: the editor, created by/for EVE to gauge likely levels of human interest in linguistically triggered topics (compiled across various sources, such as Wikipedia and specialty expression glosses).

"eigenvalue" is a common misspelling or typo for: eigenvalues.

Synonyms: eigenvalue
Position Synonyms (sorted by strength)

Expression

 characteristic root, characteristic constant, characteristic number, characteristic value, fundamental number, latent root, proper value.
Source: Eve, based on meta analysis. Top

Computed Synonyms: eigenvalue

 Rank

 Intensity 

 Word

 Synonyms

 Synonyms of synonym

 1   11.0082   eigenvalue     characteristic root     latent root, characteristic value, characteristic number, characteristic constant, proper value   
 2   10.0090   eigenvalue     latent root     characteristic root, proper value, fundamental number, latent roots, eigenvalues   
 3   6.5093   eigenvalue     proper value     characteristic value, fundamental number, latent root, eigenvalues, latent roots   
 4   6.0087   eigenvalue     fundamental number     characteristic number, proper value, latent root, eigenvalues, latent roots   
 5   2.5090   eigenvalue     intrinsic value     capitalized yield value, real value, parity value, net asset value, true value   
 6   2.0998   eigenvalue     eigenvalues     latent roots, characteristic root, proper value, fundamental number, characteristic value   
Source: calculated by Eve using graph theory. "Intensity" is a score indicating the number of overlapping cliques where the word pair is found (an integer before the decimal); the first digit after the decimal is the number of overlapping terminal characters up to 9; the second characters is number of leading common characters up to 9; the last two digits measure the Levenshtein distance subtracted from 100. Top

Computed Expressions: eigenvalue

 Rank

 Intensity 

 Expression

 Synonyms

 Synonyms of synonym

 1   1.9991   eigenvalue problem     Eigenvalue     characteristic root, latent root   
Source: calculated by Eve using graph theory. "Intensity" is a score indicating the number of overlapping cliques where the word pair is found (an integer before the decimal); the first digit after the decimal is the number of overlapping terminal characters up to 9; the second characters is number of leading common characters up to 9; the last two digits measure the Levenshtein distance subtracted from 100. Top

Translations: EIGENVALUE

Language Translations (or nearest inflections or synonyms, in parentheses)
Íslenska eigingildi (eigenvalue). Additional references: Íslenska, Iceland, eigenvalue. (volunteer & more translations)
Bohemian svojstvena vrijednost (characteristic value, eigenvalue), vlastní hodnota (eigenvalue), vlastní číslo (eigenvalue), problem svojstvenih vrijednosti (eigenvalue problem), rovnice vlastních hodnot (eigenvalue equation). Additional references: Bohemian, Czech Republic, eigenvalue. (volunteer & more translations)
Brazilian Portuguese valor próprio (eigenvalue). Additional references: Brazilian Portuguese, Portugal, Angola, eigenvalue. (volunteer & more translations)
Cestina svojstvena vrijednost (characteristic value, eigenvalue), vlastní hodnota (eigenvalue), vlastní číslo (eigenvalue), problem svojstvenih vrijednosti (eigenvalue problem), rovnice vlastních hodnot (eigenvalue equation). Additional references: Cestina, Czech Republic, eigenvalue. (volunteer & more translations)
Chinese Simplified 特征值 (eigenvalue), 本征值 (eigenvalue). Additional references: Chinese Simplified, China, Brunei, eigenvalue. (volunteer & more translations)
Chinese Traditional 特徵值 (eigenvalue, characteristic), 本徵值 (eigenvalue). Additional references: Chinese Traditional, China, Brunei, eigenvalue. (volunteer & more translations)
Croatian svojstvena vrijednost (eigenvalue). Additional references: Croatian, Croatia, eigenvalue. (volunteer & more translations)
Czech svojstvena vrijednost (characteristic value, eigenvalue), vlastní hodnota (eigenvalue), vlastní číslo (eigenvalue), problem svojstvenih vrijednosti (eigenvalue problem), rovnice vlastních hodnot (eigenvalue equation). Additional references: Czech, Czech Republic, eigenvalue. (volunteer & more translations)
Daco-Rumanian Valoare proprie (Eigenvalue). Additional references: Daco-Rumanian, Romania, Hungary, eigenvalue. (volunteer & more translations)
Deutsch Eigenwert (eigenvalue, intrinsic value, characteristic root), Eigenwertproblem (eigenvalue problem, Eigenvalue), das Eigenwertproblem (eigenvalue problem), Eigenwertanalyse (eigenvalue analysis). Additional references: Deutsch, Germany, Austria, eigenvalue. (volunteer & more translations)
Dutch eigenwaarde (characteristic root, characteristic constant, characteristic number, characteristic value, eigenvalue). Additional references: Dutch, Netherlands, Aruba, eigenvalue. (volunteer & more translations)
Finnish ominaisarvo (eigenvalue, characteristic, characteristic constant, characteristic number, characteristic root). Additional references: Finnish, Finland, Russia (Europe), eigenvalue. (volunteer & more translations)
Français valeur propre (eigenvalue, eigen value, eigenvalues, characteristic constant, characteristic number), racine characteristique (characteristic root, eigenvalue, latent root), valeur caractéristique (characteristic value, characteristic constant, characteristic number, characteristic root, eigenvalue). Additional references: Français, France, Algeria, eigenvalue. (volunteer & more translations)
French valeur propre (eigenvalue, eigen value, eigenvalues, characteristic constant, characteristic number), racine characteristique (characteristic root, eigenvalue, latent root), valeur caractéristique (characteristic value, characteristic constant, characteristic number, characteristic root, eigenvalue). Additional references: French, France, Algeria, eigenvalue. (volunteer & more translations)
German Eigenwert (eigenvalue, intrinsic value, characteristic root), Eigenwertproblem (eigenvalue problem, Eigenvalue), das Eigenwertproblem (eigenvalue problem), Eigenwertanalyse (eigenvalue analysis). Additional references: German, Germany, Austria, eigenvalue. (volunteer & more translations)
Greek ιδιοάνυσμα (characteristic root, eigenvalue, latent root), ιδιοτιμή (characteristic constant, characteristic number, characteristic root, characteristic value, eigenvalue). Additional references: Greek, Greece, Albania, eigenvalue. (volunteer & more translations)
Greek (transliteration) idhioanisma (characteristic root, eigenvalue, latent root), idhiotimi (characteristic constant, characteristic number, characteristic root, characteristic value, eigenvalue). Additional references: Greek, Greece, Albania, eigenvalue. (volunteer & more translations)
Hanguk Mal 고유치 (eigenvalue), 〈수학〉 고유값 (eigenvalue). Additional references: Hanguk Mal, Korea, South, Korea, eigenvalue. (volunteer & more translations)
Hanguohua 고유치 (eigenvalue), 〈수학〉 고유값 (eigenvalue). Additional references: Hanguohua, Korea, South, Korea, eigenvalue. (volunteer & more translations)
Hebrew ערך עצמי (Eigenvalue). Additional references: Hebrew, Israel, eigenvalue. (volunteer & more translations)
High German Eigenwert (eigenvalue, intrinsic value, characteristic root), Eigenwertproblem (eigenvalue problem, Eigenvalue), das Eigenwertproblem (eigenvalue problem), Eigenwertanalyse (eigenvalue analysis). Additional references: High German, Germany, Austria, eigenvalue. (volunteer & more translations)
Hochdeutsch Eigenwert (eigenvalue, intrinsic value, characteristic root), Eigenwertproblem (eigenvalue problem, Eigenvalue), das Eigenwertproblem (eigenvalue problem), Eigenwertanalyse (eigenvalue analysis). Additional references: Hochdeutsch, Germany, Austria, eigenvalue. (volunteer & more translations)
Hungarian sajátérték (eigenvalue), energia-sajátérték (energy eigenvalue). Additional references: Hungarian, Hungary, Austria, eigenvalue. (volunteer & more translations)
Icelandic eigingildi (eigenvalue). Additional references: Icelandic, Iceland, eigenvalue. (volunteer & more translations)
Italian autovalore (eigenvalue), eigenvalore (eigenvalue). Additional references: Italian, Italy, Croatia, eigenvalue. (volunteer & more translations)
Ivrit ערך עצמי (Eigenvalue). Additional references: Ivrit, Israel, eigenvalue. (volunteer & more translations)
Japanese こゆうち (eigenvalue), 固有値 (eigenvalue). Additional references: Japanese, Japan, Taiwan, eigenvalue. (volunteer & more translations)
Korean 고유치 (eigenvalue), 〈수학〉 고유값 (eigenvalue). Additional references: Korean, Korea, South, Korea, eigenvalue. (volunteer & more translations)
Magyar sajátérték (eigenvalue), energia-sajátérték (energy eigenvalue). Additional references: Magyar, Hungary, Austria, eigenvalue. (volunteer & more translations)
Moldavian Valoare proprie (Eigenvalue). Additional references: Moldavian, Romania, Hungary, eigenvalue. (volunteer & more translations)
Polish wartość własna (eigenvalue). Additional references: Polish, Poland, Czech Republic, eigenvalue. (volunteer & more translations)
Polnisch wartość własna (eigenvalue). Additional references: Polnisch, Poland, Czech Republic, eigenvalue. (volunteer & more translations)
Polski wartość własna (eigenvalue). Additional references: Polski, Poland, Czech Republic, eigenvalue. (volunteer & more translations)
Portuguese valor próprio (eigenvalue). Additional references: Portuguese, Portugal, Angola, eigenvalue. (volunteer & more translations)
Romanian Valoare proprie (Eigenvalue). Additional references: Romanian, Romania, Hungary, eigenvalue. (volunteer & more translations)
Rumanian Valoare proprie (Eigenvalue). Additional references: Rumanian, Romania, Hungary, eigenvalue. (volunteer & more translations)
Ruotsi egenvärde (characteristic root, eigenvalue, intrinsic value, latent root). Additional references: Ruotsi, Sweden, Finland, eigenvalue. (volunteer & more translations)
Russian задачи о собственных значениях (eigenvalue problems). Additional references: Russian, Russia, China, eigenvalue. (volunteer & more translations)
Russian (transliteration) zadachi o sobstvennykh znacheniyakh (eigenvalue problems). Additional references: Russian, Russia, China, eigenvalue. (volunteer & more translations)
Russki задачи о собственных значениях (eigenvalue problems). Additional references: Russki, Russia, China, eigenvalue. (volunteer & more translations)
Russki (transliteration) zadachi o sobstvennykh znacheniyakh (eigenvalue problems). Additional references: Russki, Russia, China, eigenvalue. (volunteer & more translations)
Slovak vlastná hodnota (eigenvalue), vlastna hodnota (eigenvalue). Additional references: Slovak, Slovakia, Hungary, eigenvalue. (volunteer & more translations)
Slovakian vlastná hodnota (eigenvalue), vlastna hodnota (eigenvalue). Additional references: Slovakian, Slovakia, Hungary, eigenvalue. (volunteer & more translations)
Slovene Lastna vrednost (Eigenvalue). Additional references: Slovene, Slovenia, Austria, eigenvalue. (volunteer & more translations)
Slovenian Lastna vrednost (Eigenvalue). Additional references: Slovenian, Slovenia, Austria, eigenvalue. (volunteer & more translations)
Slovenscina Lastna vrednost (Eigenvalue). Additional references: Slovenscina, Slovenia, Austria, eigenvalue. (volunteer & more translations)
Spanish valor propio (eigenvalue, characteristic root, characteristic constant, characteristic number, characteristic value), autovalor (eigenvalue), raíz característica (characteristic root, eigenvalue, latent root). Additional references: Spanish, Spain, Mexico, eigenvalue. (volunteer & more translations)
Suomea ominaisarvo (eigenvalue, characteristic, characteristic constant, characteristic number, characteristic root). Additional references: Suomea, Finland, Russia (Europe), eigenvalue. (volunteer & more translations)
Suomi ominaisarvo (eigenvalue, characteristic, characteristic constant, characteristic number, characteristic root). Additional references: Suomi, Finland, Russia (Europe), eigenvalue. (volunteer & more translations)
Svenska egenvärde (characteristic root, eigenvalue, intrinsic value, latent root). Additional references: Svenska, Sweden, Finland, eigenvalue. (volunteer & more translations)
Swedish egenvärde (characteristic root, eigenvalue, intrinsic value, latent root). Additional references: Swedish, Sweden, Finland, eigenvalue. (volunteer & more translations)
Ukrainian власне значення (eigenvalue). Additional references: Ukrainian, eigenvalue. (volunteer & more translations)
Ukrainian (transliteration) vlasne znachennya (eigenvalue). Additional references: Ukrainian, eigenvalue. (volunteer & more translations)
Source: Eve, based on a combination of meta analysis and graph theory (for near and back translations). Top

Constructed Language Translations: EIGENVALUE

Language Translations for “eigenvalue” or closest synonym(s); back translations in parentheses.
Athag athageigathagenvathagalathague (eigenvalue). Additional references: Athag, eigenvalue. (volunteer)
Double Dutch ageigagenvagalague (eigenvalue). Additional references: Double Dutch, eigenvalue. (volunteer)
Leet 3¦&3\/@|_(_)3 (eigenvalue). Additional references: Leet, eigenvalue. (volunteer)
Oppish opeigopenvopalopue (eigenvalue). Additional references: Oppish, eigenvalue. (volunteer)
Pig Latin eigenvalueway (eigenvalue). Additional references: Pig Latin, eigenvalue. (volunteer)
Terran B valenwer (eigenvalue). Additional references: Terran B, eigenvalue. (volunteer)
Ubbi Dubbi ubeigubenvubalubue (eigenvalue). Additional references: Ubbi Dubbi, eigenvalue. (volunteer)
Source: compiled by the editor. Top