Principal minors and diagonal similarity of matrices

DOI10.1016/0024-3795(86)90015-7zbMath0591.15005OpenAlexW2009395702MaRDI QIDQ1074686

Raphael Loewy

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0024-3795(86)90015-7

zbMATH Keywords

irreducibleprincipal minorsdiagonal similarity

Mathematics Subject Classification ID

Canonical forms, reductions, classification (15A21)

Related Items

Can one hear a matrix? Recovering a real symmetric matrix from its spectral data, Principal minors. II: The principal minor assignment problem, A matrix description of weakly bipartitive and bipartitive families, Permanental vectors, A sufficient condition for the continuity of permanental processes with applications to local times of Markov processes, Principal minor assignment, isometries of Hilbert spaces, volumes of parallelepipeds and rescaling of sesqui-holomorphic functions, Linear algebra meets Lie algebra: the Kostant-Wallach theory, Skew-symmetric matrices and their principal minors, Determinantal Point Processes for Image Processing, Generalized tournament matrices with the same principal minors

Cites Work

• Unnamed Item
• Unnamed Item
• On matrices having equal corresponding principal minors
• Matrices diagonally similar to a symmetric matrix
• Flows on graphs applied to diagonal similarity and diagonal equivalence for matrices
• Cyclic and diagonal products on a matrix
• A determinantal version of the frobenius-könig theorem
• Algorithms for Testing the Diagonal Similarity of Matrices and Related Problems
• Qualitative Economics and the Scope of the Correspondence Principle