Norm estimates for solutions of polynomial operator equations

DOI10.1155/2015/524829zbMath1493.47015OpenAlexW1958610582WikidataQ59113019 ScholiaQ59113019MaRDI QIDQ2337076

Michael I. Gil'

Publication date: 19 November 2019

Published in: Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/524829

zbMATH Keywords

norm estimatespolynomial operator equations

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Equations involving linear operators, with operator unknowns (47A62) Operators on Hilbert spaces (general) (47B02)

Related Items (1)

Analytic functional calculus for two operators

Cites Work

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• Explicit solution of the operator equation \(A^{*}X+X^{*}A=B\)
• Gradient based iterative solutions for general linear matrix equations
• The reflexive and anti-reflexive solutions of a linear matrix equation and systems of matrix equations
• Gradient based iterative algorithm for solving coupled matrix equations
• The operator equation \(\sum _{i=0}^n A^{n-i}XB^i=Y\)
• Perturbation theory for matrix equations
• Operator functions and localization of spectra
• The general solution to a system of adjointable operator equations over Hilbert C^∗-modules
• How and Why to Solve the Operator Equation AX −XB = Y
• Norm estimates for solutions of matrix equations AX-XB=C and X-AXB=C
• Gradient based iterative algorithms for solving a class of matrix equations

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