Book Volume 973 1983

Matrix Pencils

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


ISBN: 978-3-540-11983-8 (Print) 978-3-540-39447-1 (Online)

Table of contents (18 chapters)

  1. Front Matter

    Pages I-XI

  2. Chapter

    Pages 2-16

    The condition number of equivalence transformations that block diagonalize matrix pencils

  3. Chapter

    Pages 17-29

    An approach to solving the spectral problem of A-λB

  4. Chapter

    Pages 30-57

    On computing the Kronecker canonical form of regular (A-λB)-pencils

  5. Chapter

    Pages 58-73

    Reducing subspaces: Definitions, properties and algorithms

  6. Chapter

    Pages 75-89

    Differential/algebraic systems and matrix pencils

  7. Chapter

    Pages 90-102

    Approximation of eigenvalues defined by ordinary differential equations with the Tau method

  8. Chapter

    Pages 104-120

    The two-sided arnoldi algorithm for nonsymmetric eigenvalue problems

  9. Chapter

    Pages 121-144

    Projection methods for solving large sparse eigenvalue problems

  10. Chapter

    Pages 146-155

    The generalized eigenvalue problem in shipdesign and offshore industry — a comparison of traditional methods with the lanczos process

  11. Chapter

    Pages 156-176

    On the practical use of the lanczos algorithm in finite element applications to vibration and bifurcation problems

  12. Chapter

    Pages 177-188

    Implementation and applications of the spectral transformation lanczos algorithm

  13. Chapter

    Pages 189-194

    Preconditioned iterative methods for the generalized eigenvalue problem

  14. Chapter

    Pages 195-205

    On bounds for symmetric eigenvalue problems

  15. Chapter

    Pages 207-220

    A method for computing the generalized singular value decomposition

  16. Chapter

    Pages 221-244

    Perturbation analysis for the generalized eigenvalue and the generalized singular value problem

  17. Chapter

    Pages 245-262

    A generalized SVD analysis of some weighting methods for equality constrained least squares

  18. Chapter

    Pages 263-285

    On angles between subspaces of a finite dimensional inner product space

  19. Chapter

    Pages 286-293

    The multivariate calibration problem in chemistry solved by the PLS method