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Eigendecomposition of a matrix

In linear algebra, eigendecomposition (also known as eigenvalue decomposition or EVD) is a factorization of a matrix A {\displaystyle A} into a canonical form given by ⁠ A = Q D Q − 1 {\displaystyle A=QDQ^{\mathsf {-1}}} ⁠, where D {\displaystyle D} is a diagonal matrix containing the eigenvalues of A {\displaystyle A} on the diagonal, and Q…

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Fundamental theory of matrix eigenvectors and eigenvalues

Eigendecomposition of a matrix

Functional calculus

Decomposition for spectral matrices

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Numerical computations

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Eigendecomposition of a matrix

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displaystyle mathbf eigenvalues eigenvectors matrix lambda eigenvalue matrices begin end -1 also equation left right eigenvector using bmatrix corresponding decomposition

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SubjectPredicateObjectConfidenceSrc
quantum mechanicsinstance ofparticularly in fields0.80text
signal processinginstance ofparticularly in fields0.80text
and numerical analysis.Normal matricesA complex-valued square matrix Ainstance ofparticularly in fields0.80text

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