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Introduction
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Nonlinear Eigenvalue Problems
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Higher Order Polynomial Eigenvalue
Contents
Index
Nonlinear Eigenvalue Problems with Orthogonality Constraints
R. Lippert and A. Edelman
Subsections
Introduction
MATLAB Templates
Sample Problems and Their Differentials
The Procrustes Problem
Nearest-Jordan Structure
Trace Minimization
Trace Minimization with a Nonlinear Term
Simultaneous Schur Decomposition Problem
Simultaneous Diagonalization
Numerical Examples
A Sample Procrustes Problem
A Sample Jordan Block Problem
A Sample Trace Minimization Problem
A Sample LDA Toy Problem (Trace Minimization with Nonlinear Term)
A Sample Simultaneous Schur Decomposition Problem
A Sample Diagonalization Problem
Modifying the Templates
Subroutine Dependencies
Under the Hood
What to Modify
Geometric Technicalities
Manifolds
The Difference Between a Tangent and a Differential
Inner Products, Gradients, and Differentials
Getting Around
Covariant Differentiation
Inverting the Covariant Hessian (Technical Considerations)
Susan Blackford 2000-11-20
