On the Sylvester-like matrix equation <mml:math altimg="si0001.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:mi mathvariant="italic">AX</mml:mi><mml:mo>+</mml:mo><mml:mi>f</mml:mi><mml:mo>(</mml:mo><mml:mi>X</mml:mi><mml:mo>)</mml:mo><mml:mi>B</mml:mi><mml:mo>=</mml:mo><mml:mi>C</mml:mi></mml:math>-Reference-Cited by-同舟云学术

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On the Sylvester-like matrix equation AX+f(X)B=C

Published:2016-03 Issue:5 Volume:353 Page:1061-1074
ISSN:0016-0032
Container-title:Journal of the Franklin Institute
language:en
Short-container-title:Journal of the Franklin Institute

Author:

Chiang Chun-Yueh

Publisher

Elsevier BV

Subject

Applied Mathematics,Computer Networks and Communications,Signal Processing,Control and Systems Engineering

Reference32 articles.

1. The Autonomous Linear Quadratic Control Problem;Mehrmann,1991

2. Linear Optimal Control Systems;Kwakernaak,1972

3. Algebraic Riccati Equations;Lancaster,1995

4. V. Simoncini, Computational Methods for Linear Matrix Equations (Survey Article), Technical Report, Dipartimento di Matematica, Universita di Bologna, Italy, 2014.

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1. Developing Kaczmarz method for solving Sylvester matrix equations;Journal of the Franklin Institute;2022-11

2. An iterative method based on ADMM for solving generalized Sylvester matrix equations;Journal of the Franklin Institute;2022-10

3. Least‐squares partially bisymmetric solutions of coupled Sylvester matrix equations accompanied by a prescribed submatrix constraint;Mathematical Methods in the Applied Sciences;2020-11-16

4. On the semigroup property for some structured iterations;Journal of Computational and Applied Mathematics;2020-08

5. Consistency of Split Quaternion Matrix Equations $$AX^{\star }-XB=CY+D$$ and $$X-AX^\star B=CY+D$$;Advances in Applied Clifford Algebras;2019-07-10

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