Matrix Pencils: Proceedings of a Conference Held at Pite Havsbad, Sweden, March 22-24, 1982 (Lecture Notes in Mathematics, 973)

Edited By B. Kågström And A. Ruhe. Includes Bibliographies. 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