On the positive operator solutions to an operator equation \(X-A^\ast X^{-t}A=Q\)

DOI10.1155/2021/7124859OpenAlexW3204448163MaRDI QIDQ2052108

Kaifan Yang

Publication date: 25 November 2021

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

Full work available at URL: https://doi.org/10.1155/2021/7124859

zbMATH Keywords

Hilbert spaceoperator equationadjoint operator

Mathematics Subject Classification ID

Equations involving linear operators, with operator unknowns (47A62) Positive linear operators and order-bounded operators (47B65)

Cites Work

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• A modified spectral method for solving operator equations
• On the solutions of operator equation \(CAX=C=XAC\)
• Functional calculus for sesquilinear forms and the purification map
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• On Hermitian positive definite solutions of matrix equation \(X+A^{\ast} X^{-2} A=I\).
• Positive solutions of nonlinear operator equations with sign-changing kernel and its applications
• The iterative method for solving nonlinear matrix equation \(X^{s} + A^{*}X^{-t}A = Q\)
• Stabilizability of Linear Systems Over a Commutative Normed Algebra with Applications to Spatially-Distributed and Parameter-Dependent Systems

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