Generalized Inverses: Theory and Computations (Developments in Mathematics, #53)

by Guorong Wang, Yimin Wei, and Sanzheng Qiao

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This book begins with the fundamentals of the generalized inverses, then moves to more advanced topics.

It presents a theoretical study of the generalization of Cramer's rule, determinant representations of the generalized inverses, reverse order law of the generalized inverses of a matrix product, structures of the generalized inverses of structured matrices, parallel computation of the generalized inverses, perturbation analysis of the generalized inverses, an algorithmic study of the computational methods for the full-rank factorization of a generalized inverse, generalized singular value decomposition, imbedding method, finite method, generalized inverses of polynomial matrices, and generalized inverses of linear operators. This book is intended for researchers, postdocs, and graduate students in the area of the generalized inverses with an undergraduate-level understanding of linear algebra.


  • ISBN13 9789811343407
  • Publish Date 11 February 2019 (first published 24 May 2018)
  • Publish Status Active
  • Publish Country SG
  • Imprint Springer Verlag, Singapore
  • Edition Softcover reprint of the original 1st ed. 2018
  • Format Paperback
  • Pages 378
  • Language English