scientific article; zbMATH DE number 7268032

zbMath1452.15006MaRDI QIDQ5130653

V. M. Petrichkovich, N. S. Dzhaliuk

Publication date: 28 October 2020

Full work available at URL: http://admjournal.luguniv.edu.ua/index.php/adm/article/view/1210

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zbMATH Keywords

solutionpolynomial matrixmatrix polynomial equationsemiscalar equivalence

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Matrices over function rings in one or more variables (15A54) Canonical forms, reductions, classification (15A21)

Related Items (2)

Equivalence of matrices in the ring \(M(n, R)\) and its subrings ⋮ The number of standard forms of matrices over imaginary Euclidean quadratic rings with respect to the \((z,k)\)-equivalence

Cites Work

• The matrix linear unilateral and bilateral equations with two variables over commutative rings
• Polynomial and rational matrices. Applications in dynamical systems theory
• Cell-triangular and cell-diagonal factorizations of cell-triangular and cell-diagonal polynomial matrices
• On the uniqueness of the minimal solution to the matrix polynomial equation \(A(\lambda)X(\lambda)+Y(\lambda)B(\lambda)=C(\lambda)\)
• On simultaneous similarity of matrices and related questions
• Generalized equivalence of pairs of matrices
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