COMPUTING DETERMINANTAL REPRESENTATION OF GENERALIZED INVERSES

  • Published : 2002.05.01

Abstract

We investigate implementation of the determinantal representation of generalized inverses for complex and rational matrices in the symbolic package MATHEMATICA. We also introduce an implementation which is applicable to sparse matrices.

Keywords

References

  1. Linear Algebra Appl. v.140 Generalized inverses over integral domains R. B. Bapat;K. P. S. B. Rao;K. M. Prasad
  2. Linear Algebra Appl v.211 Generalized inverses with proportional minors R. B. Bapat
  3. Computer Algebra J. H. Davenport;Y. Siret;E. Tournier
  4. Linear and Multilinear Algebra v.35 Reflexive generalized inverses and their minors J. Miao
  5. Methods for computing the Moore-Penrose generalized inverse, and related matters, Generalized Inverses and Applications B. Noble;M. Z.Nashed(ed)
  6. Linear Algebra Appl v.146 Generalized inverses over integral domains. II. Group inverses and Drazin inverses K. M. Prasad;K. P. S. B. Rao;R. B. Bapat
  7. Linear Algebra Appl v.165 The Generalized Moore-Penrose inverse K. M. Prasad;R. B. Bapat
  8. Linear Algebra Appl. v.277 The image of the adjoint mapping D. W. Robinson
  9. Filomat v.8 Generalized algebraic complement and Moore-Penrose inverse P. S. Stanimirovic;M. Stankovic
  10. Publicationes Mathematicae Debrecen v.54 General determinatal representation of generalized inverses over integral domains P. S. Stanimirovic
  11. Linear Algebra and its Applications v.311 Full-rank and determinantal representation of the Drazin inverse P. S. Stanimirovic;D. S. Djordjevic
  12. MATHEMATICA: a system for doing mathematics by computer S. Wolfram
  13. it MATHEMATICA Book(Version 3.0) S. Wolfram
  14. Computing v.36 Report on test matrices for generalized inverses G. Zielke