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Organization of the Book
Contents
Index
A Brief Tour of Eigenproblems
Subsections
Introduction
Numerical Stability and Conditioning
Hermitian Eigenproblems
J. Demmel
Eigenvalues and Eigenvectors
Invariant Subspaces
Equivalences (Similarities)
Eigendecompositions
Conditioning
Specifying an Eigenproblem
Related Eigenproblems
Example
Generalized Hermitian Eigenproblems
J. Demmel
Eigenvalues and Eigenvectors
Eigenspaces
Equivalences (Congruences)
Eigendecompositions
Conditioning
Specifying an Eigenproblem
Related Eigenproblems
Example
Singular Value Decomposition
J. Demmel
Singular Values and Singular Vectors
Singular Subspaces
Equivalences
Decompositions
Conditioning
Specifying a Singular Value Problem
Related Singular Value Problems
Example
Non-Hermitian Eigenproblems
J. Demmel
Eigenvalues and Eigenvectors
Invariant Subspaces
Equivalences (Similarities)
Eigendecompositions
Conditioning
Specifying an Eigenproblem
Related Eigenproblems
Example
Generalized Non-Hermitian Eigenproblems
J. Demmel
Eigenvalues and Eigenvectors
Deflating Subspaces
Equivalences
Eigendecompositions
Conditioning
Specifying an Eigenproblem
Related Eigenproblems
Example
Singular Case
Eigenvalues and Eigenvectors.
Reducing Subspaces.
Equivalences.
Eigendecompositions.
Conditioning.
Specifying an Eigenproblem.
Related Eigenproblems.
Example.
More Generalized Eigenproblems
Nonlinear Eigenproblems
J. Demmel
Susan Blackford 2000-11-20
