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On eigenvalues of rectangular matrices

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Publication:600703
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DOI10.1134/S0081543809040208zbMath1206.15011OpenAlexW2017699071MaRDI QIDQ600703

Michael Shapiro, Boris Zalmanovich Shapiro

Publication date: 1 November 2010

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543809040208


zbMATH Keywords

eigenvaluerectangular matrixpencil


Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Matrix pencils (15A22)


Related Items (4)

The generating function of bivariate Chebyshev polynomials associated with the Lie algebra \(G_2\) ⋮ Around a multivariate Schmidt-Spitzer theorem ⋮ Two complementary block Macaulay matrix algorithms to solve multiparameter eigenvalue problems ⋮ Generalized Characteristic Polynomials and Gaussian Cubature Rules


Uses Software

  • Eigtool


Cites Work

  • Unnamed Item
  • Multiparameter eigenvalue problems and expansion theorems
  • Algebro-geometric aspects of Heine-Stieltjes theory
  • Pseudospectra of rectangular matrices
  • On a Generalized Eigenvalue Problem for Nonsquare Pencils
  • The Generalized Eigenvalue Problem for Nonsquare Pencils Using a Minimal Perturbation Approach


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