Solutions of the matrix equation (1):X m+A 1Xm−1+…+A m=0

DOI10.1007/BF02582911zbMath0761.15010OpenAlexW2078327015MaRDI QIDQ4025312

Chenggui Huang

Publication date: 18 February 1993

Published in: Acta Mathematica Sinica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/208145

zbMATH Keywords

companion matrixmatrix equationmatrix exponentialsJordan matrix

Mathematics Subject Classification ID

Matrix equations and identities (15A24)

Related Items (1)

Solutions of the matrix equation (1):X m+A 1Xm−1+…+A m=0

Cites Work

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• Linear divisors and reducibility of polynomial matrices
• Spectral analysis of regular matrix polynomials
• On the g-circulant solutions to the matrix equation \(A^ m=\lambda J\). II
• A theorem on the factorization of matrix polynomials
• On the \(g\)-circulant solutions to the matrix equation \(A^m=\lambda J\)
• On Polynomial Matrix Equations
• Common multiples and common divisors of matrix polynomials, II. Vandermonde and resultant matrices
• Solutions of the matrix equation (1):X m+A 1Xm−1+…+A m=0
• The Equation X 2 + PX + Q = 0 in Binary Matrices

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