Generalized product of two square matrices and application for some algebraic equations

DOI10.1007/s11785-018-0762-0zbMath1429.15020OpenAlexW2790567845MaRDI QIDQ1752968

Ibrahim Al-Subaihi, Mustapha Raïssouli

Publication date: 25 May 2018

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-018-0762-0

zbMATH Keywords

Lyapunov equationSylvester equationgeneralized matrix productmatrix-convexity

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Convexity of real functions in one variable, generalizations (26A51) Operator means involving linear operators, shorted linear operators, etc. (47A64)

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Cites Work

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• Positive semidefinite solutions of the operator equation
• The operator equation \(\sum _{i=0}^n A^{n-i}XB^i=Y\)
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