On the uniqueness of the minimal solution to the matrix polynomial equation \(A(\lambda)X(\lambda)+Y(\lambda)B(\lambda)=C(\lambda)\)

DOI10.1016/0016-0032(78)90012-1zbMath0445.15011OpenAlexW2050196090MaRDI QIDQ1145195

S. H. Smith

Publication date: 1980

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0016-0032(78)90012-1

zbMATH Keywords

regular matrixmatrix polynomial equationuniqueness of the minimal solution

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Conditioning of matrices (15A12)

Related Items (7)

About the uniqueness solution of the matrix polynomial equation \(A(\lambda)X(\lambda)-Y(\lambda)B(\lambda)=C(\lambda)\) ⋮ On solutions of generalized Sylvester equation in polynomial matrices ⋮ On the low-degree solution of the Sylvester matrix polynomial equation ⋮ A theory of passive linear systems with no assumptions ⋮ The matrix linear unilateral and bilateral equations with two variables over commutative rings ⋮ On the divisibility of matrices with remainder over the domain of principal ideals ⋮ Unnamed Item

Cites Work

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• Output regulation and internal models - a frequency domain approach
• Stability of matrix polynomials†
• Skew prime polynomial matrices
• The Equations AX - YB = C and AX - XB = C in Matrices

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