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Definition of Eigenvector
1. Noun. (linear algebra) A vector that is not rotated under a given linear transformation; a left or right eigenvector depending on context. ¹
2. Noun. (context: physics engineering) A right eigenvector; a nonzero vector such that, for a particular matrix , for some scalar which is its eigenvalue and an eigenvalue of the matrix. ¹
¹ Source: wiktionary.com
Definition of Eigenvector
1. [n -S]
Lexicographical Neighbors of Eigenvector
Literary usage of Eigenvector
Below you will find example usage of this term as found in modern and/or classical literature:
1. Game Theory, Optimal Stopping, Probability and Statistics: Papers in Honor by F. Thomas Bruss, (, Thomas Shelburne Ferguson, Lucien Marie Le Cam (2000)
"First we assume that our Markov chain has a unique second eigenvector. If not we
can find a NN perturbation of our Markov chain with a given second ..."
2. Real Analysis by Andrew M. Bruckner, Judith B. Bruckner, Brian S. Thomson (1997)
"Thus, if / is a A-eigenvector for T, it is orthogonal to the eigenspace for AI
... For each ra, choose an eigenvector fn of T associated with Xn and T and ..."
3. OECD Employment Outlook: Boosting Jobs and Incomes by OECD (2006)
"It can be shown that Uj is the eigenvector associated with the largest eigenvalue
e^ of this matrix.2 The so-called first principal component has the same ..."
4. Spinors, Clifford, and Cayley Algebras by Robert Hermann (1974)
"... a single linear map in a complex vector space always has an eigenvector. ...
induction hypothesis, to obtain a common eigenvector for the linear maps Y ..."
5. Distributions with Fixed Marginals and Related Topics by B. (Berthold) Schweizer, Ludger Rüschendorf, Michael Dee Taylor (1996)
"squares of the components of the eigenvector hg; and from the properties of an
... И all components of an eigenvector hg of a correlation matrix R have ..."
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