A note on the \(\top\)-Stein matrix equation

DOI10.1155/2013/824641zbMath1470.15011arXiv1305.4243OpenAlexW2011373375WikidataQ58917549 ScholiaQ58917549MaRDI QIDQ2319152

Chun-Yueh Chiang

Publication date: 16 August 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.4243

Mathematics Subject Classification ID

Matrix equations and identities (15A24)

Related Items (5)

On the solution of the linear matrix equation \(X = Af(X) B + C\) ⋮ Uniqueness of solution of a generalized \(\star\)-Sylvester matrix equation ⋮ Contour integral solutions of Sylvester-type matrix equations ⋮ Restarted global FOM and GMRES algorithms for the Stein-like matrix equation \(X + \mathcal{M}(X) = C\) ⋮ Projection methods for large-scale T-Sylvester equations

Uses Software

• mctoolbox
• Algorithm 432

Cites Work

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• On the \(\star\)-Sylvester equation \(AX\pm X^{\star} B^{\star} = C\)
• Toward solution of matrix equation \(X=Af(X)B+C\)
• On Smith-type iterative algorithms for the Stein matrix equation
• Iterative algorithms for solving the matrix equation \(AXB + CX^{T}D = E\)
• The matrix equation \(X + AX^TB = C\): Conditions for unique solvability and a numerical algorithm for its solution
• Numerical Solution of Algebraic Riccati Equations
• Iterative methods for solving linear matrix equation and linear matrix system
• The Equations A^TX\pm X^TA=B
• A Cyclic Low-Rank Smith Method for Large Sparse Lyapunov Equations
• Accuracy and Stability of Numerical Algorithms
• Backward error, sensitivity, and refinement of computed solutions of algebraic Riccati equations
• Algorithm 432 [C2: Solution of the matrix equation AX + XB = C [F4]]
• Matrix Equation $XA + BX = C$
• Matrix theory. Basic results and techniques

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