Constructing matrices with prescribed main-diagonal submatrix and characteristic polynomial

DOI10.1016/j.laa.2006.03.030zbMath1108.15008OpenAlexW2155291269MaRDI QIDQ855581

Alberto Borobia

Publication date: 7 December 2006

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

Full work available at URL: https://doi.org/10.1016/j.laa.2006.03.030

zbMATH Keywords

inverse eigenvalue problemmatrix completion problemHessenberg matricesfinite step algorithmHessenberg

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Inverse problems in linear algebra (15A29) Numerical solutions to inverse eigenvalue problems (65F18)

Cites Work

• Inverse matrix eigenvalue problems
• A completion problem over the field of real numbers
• Existenzsätze in der Theorie der Matrizen und lineare Kontrolltheorie
• Matrices with prescribed characteristic polynomial and a prescribed submatrix. III

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