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Generalized Inverses of Polynomial Matrices

  • Guorong WangEmail author
  • Yimin Wei
  • Sanzheng Qiao
Chapter
Part of the Developments in Mathematics book series (DEVM, volume 53)

Abstract

A polynomial matrix is a matrix whose entries are polynomials. Equivalently, a polynomial matrix can be expressed as a polynomial with matrix coefficients. Formally speaking, in the univariable case, \((\mathbb {R}[x])^{m \times n}\) and \((\mathbb {R}^{m \times n}) [x]\) are isomorphic. In other words, extending the entries of matrices to polynomials is the same as extending the coefficients of polynomials to matrices.

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Copyright information

© Springer Nature Singapore Pte Ltd. and Science Press 2018

Authors and Affiliations

  1. 1.Department of MathematicsShanghai Normal UniversityShanghaiChina
  2. 2.Department of MathematicsFudan UniversityShanghaiChina
  3. 3.Department of Computing and SoftwareMcMaster UniversityHamiltonCanada

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