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A completion problem over the field of real numbers

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Publication:1593658
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DOI10.1016/S0024-3795(00)00202-0zbMath0970.15004MaRDI QIDQ1593658

Isabel T. Matos, Fernando Conceição Silva

Publication date: 15 October 2001

Published in: Linear Algebra and its Applications (Search for Journal in Brave)


zbMATH Keywords

eigenvaluescompletion problems


Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Inverse problems in linear algebra (15A29)


Related Items

Constructing matrices with prescribed main-diagonal submatrix and characteristic polynomial ⋮ Completion problems for real matrices. II



Cites Work

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  • Matrices with prescribed eigenvalues and blocks
  • Matrices with prescribed rows and invariant factors
  • Matrices with prescribed eigenvalues and principal submatrices
  • Interlacing inequalities for invariant factors
  • Imbedding conditions for \(\lambda\)-matrices
  • Existenzsätze in der Theorie der Matrizen und lineare Kontrolltheorie
  • Matrices with prescribed characteristic polynomial and a prescribed submatrix. III
  • Matrices with prescribed invariant factors and off-diagonal submatrices
  • Eigenvalues of completions of submatrices
  • Matrices with prescribed submatrices
  • On the eigenvalues of the matrix
  • The characteristic polynomial of a matrix with prescribed off-diagonal blocks
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