On the positive operator solutions to an operator equation

DOI10.1155/2013/145606zbMath1286.47011OpenAlexW2116393597WikidataQ58992595 ScholiaQ58992595MaRDI QIDQ2448985

Kaifan Yang, Hong-Ke Du, Fang-an Deng

Publication date: 6 May 2014

Published in: ISRN Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/145606

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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• Iterative methods for the extremal positive definite solution of the matrix equation \(X+A^{*}X^{-\alpha}A=Q\)
• Functional calculus for sesquilinear forms and the purification map
• On the existence of a positive definite solution of the matrix equation \(X+A^ T X^{-1} A=I\)
• An inverse polynomial method for the identification of the leading coefficient in the Sturm-Liouville operator from boundary measurements.
• On the nonlinear matrix equation \(X+A^*{\mathcal F}(X)A=Q\): solutions and perturbation theory
• The iterative method for solving nonlinear matrix equation \(X^{s} + A^{*}X^{-t}A = Q\)
• Positive definite solutions of the matrix equations \(X\pm A^{\ast}X^{-q} A=Q\)
• On the positive definite solutions of nonlinear matrix equation \(X+A^*x^{-\delta}A=Q\).
• Stabilizability of Linear Systems Over a Commutative Normed Algebra with Applications to Spatially-Distributed and Parameter-Dependent Systems
• The symmetric linear matrix equation

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