On prescribed characteristic polynomials

DOI10.1016/j.laa.2024.08.010MaRDI QIDQ6618702

Esther García, Peter V. Danchev, Miguel Gómez Lozano

Publication date: 15 October 2024

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

zbMATH Keywords

characteristic polynomialsquare-zero matrix

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Eigenvalues, singular values, and eigenvectors (15A18) Inverse problems in linear algebra (15A29) Algebraic systems of matrices (15A30) Canonical forms, reductions, classification (15A21)

Cites Work

• Unnamed Item
• Matrix completion problems
• Matrices with prescribed characteristic polynomial and principal blocks. II
• Matrices with prescribed characteristic polynomial and a prescribed submatrix. III
• Sums of nilpotent matrices
• Matrices with Prescribed Characteristic Polynomials
• Matrices with prescribed characteristic polynomial and principal blocks
• Decompositions of matrices into potent and square-zero matrices
• Decompositions of matrices into diagonalizable and square-zero matrices
• Decompositions of endomorphisms into a sum of roots of the unity and nilpotent endomorphisms of fixed nilpotence
• Decompositions of matrices into a sum of invertible matrices and matrices of fixed nilpotence

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