Matrix Pencils: Proceedings of a Conference Held at Pite Havsbad, Sweden, March 22–24, 1982

James Demmel (auth.), Bo Kågström, Axel Ruhe (eds.)9780387119830, 0-387-11983-3

Table of contents :
The condition number of equivalence transformations that block diagonalize matrix pencils….Pages 2-16
An approach to solving the spectral problem of A-λB….Pages 17-29
On computing the Kronecker canonical form of regular (A-λB)-pencils….Pages 30-57
Reducing subspaces: Definitions, properties and algorithms….Pages 58-73
Differential/algebraic systems and matrix pencils….Pages 75-89
Approximation of eigenvalues defined by ordinary differential equations with the Tau method….Pages 90-102
The two-sided arnoldi algorithm for nonsymmetric eigenvalue problems….Pages 104-120
Projection methods for solving large sparse eigenvalue problems….Pages 121-144
The generalized eigenvalue problem in shipdesign and offshore industry — a comparison of traditional methods with the lanczos process….Pages 146-155
On the practical use of the lanczos algorithm in finite element applications to vibration and bifurcation problems….Pages 156-176
Implementation and applications of the spectral transformation lanczos algorithm….Pages 177-188
Preconditioned iterative methods for the generalized eigenvalue problem….Pages 189-194
On bounds for symmetric eigenvalue problems….Pages 195-205
A method for computing the generalized singular value decomposition….Pages 207-220
Perturbation analysis for the generalized eigenvalue and the generalized singular value problem….Pages 221-244
A generalized SVD analysis of some weighting methods for equality constrained least squares….Pages 245-262
On angles between subspaces of a finite dimensional inner product space….Pages 263-285
The multivariate calibration problem in chemistry solved by the PLS method….Pages 286-293