Matrix Pencils

Proceedings of a Conference Held at Pite Havsbad, Sweden, March 22-24, 1982

By: B. Kagstrm (Editor), A. Ruhe (Editor)

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Paperback | 1 January 1983

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312 Pages

Dimensions(cm)
23.39 x 15.6 x 1.65

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The condition number of equivalence transformations that block diagonalize matrix pencils.- An approach to solving the spectral problem of A-?B.- On computing the Kronecker canonical form of regular (A-?B)-pencils.- Reducing subspaces: Definitions, properties and algorithms.- Differential/algebraic systems and matrix pencils.- Approximation of eigenvalues defined by ordinary differential equations with the Tau method.- The two-sided arnoldi algorithm for nonsymmetric eigenvalue problems.- Projection methods for solving large sparse eigenvalue problems.- The generalized eigenvalue problem in shipdesign and offshore industry - a comparison of traditional methods with the lanczos process.- On the practical use of the lanczos algorithm in finite element applications to vibration and bifurcation problems.- Implementation and applications of the spectral transformation lanczos algorithm.- Preconditioned iterative methods for the generalized eigenvalue problem.- On bounds for symmetric eigenvalue problems.- A method for computing the generalized singular value decomposition.- Perturbation analysis for the generalized eigenvalue and the generalized singular value problem.- A generalized SVD analysis of some weighting methods for equality constrained least squares.- On angles between subspaces of a finite dimensional inner product space.- The multivariate calibration problem in chemistry solved by the PLS method.

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