Closed-form solutions to Sylvester-conjugate matrix equations (Q604050)

scientific article; zbMATH DE number 5813918

Language	Label	Description	Also known as
English	Closed-form solutions to Sylvester-conjugate matrix equations	scientific article; zbMATH DE number 5813918

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instance of

scholarly article

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title

Closed-form solutions to Sylvester-conjugate matrix equations (English)

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8 November 2010

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zbMATH Keywords

Sylvester-conjugate equation

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closed-form solution

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parametric expression

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controllability matrix

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observability matrix

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describes a project that uses

Algorithm 432

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.camwa.2010.04.035

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cites work

Method of Undetermined Coefficients in Linear Differential Systems and the Matrix Equation $YB - AY = F$

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Q3128879

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The Equations AX - YB = C and AX - XB = C in Matrices

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The extension of Roth's theorem for matrix equations over a ring

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Solution of the Equation $AX + XB = C$ by Inversion of an $M \times M$ or $N \times N$ Matrix

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Algorithm 432 [C2]: Solution of the matrix equation AX + XB = C [F4]

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Extensions to the Bartels-Stewart algorithm for linear matrix equations

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Perturbation theory and backward error for $AX - XB = C$

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Backward error, sensitivity, and refinement of computed solutions of algebraic Riccati equations

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Direct methods for matrix Sylvester and Lyapunov equations

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Numerical Solution of the Stable, Non-negative Definite Lyapunov Equation Lyapunov Equation

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A Hessenberg-Schur method for the problem AX + XB= C

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On the solution of the continuous-time Lyapunov matrix equation in two canonical forms

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Iterative solutions of the generalized Sylvester matrix equations by using the hierarchical identification principle

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A Finite Series Solution of the Matrix Equation $AX - XB = C$

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The explicit solution of the matrix equation $AX-XB = C$

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Explicit Solutions of Linear Matrix Equations

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Solution of the matrix equation $AX-XB=C$

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Bessel matrix differential equations: explicit solutions of initial and two-point boundary value problems

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On solutions of the matrix equations $XF - AX = C$ and $XF - A\bar {X} =C$

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A Faddeev sequence method for solving Lyapunov and Sylvester equations

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Controllability, observability and the solution of AX-XB=C

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Closed-form solution of the continuous-time Lyapunov matrix equation

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Solution of Lyapunov equation with system matrix in companion form

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On solving the Lyapunov and Stein equations for a companion matrix

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Explicit solution and eigenvalue bounds in the Lyapunov matrix equation

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Q3998992

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Q3801711

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A canonical form for matrices under consimilarity

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The Matrix Equation $A\bar X - XB = C$ and Its Special Cases

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On solutions of the matrix equations $X$-$AXB$=$C$ and $A{\overline{X}}B$=$C$

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Robust and well-conditioned eigenstructure assignment via sylvester's equation

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Eigenvalue-generalized eigenvector assignment by output feedback

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An algorithm for pole assignment in high order multivariable systems

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Reduced order observers: A new algorithm and proof

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A Parallel Algorithm for the Sylvester Observer Equation

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A new block algorithm for full-rank solution of the sylvester-observer equation

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Robust pole assignment in linear state feedback

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A complete analytical solution to the equation&lt;tex&gt;TA - FT = LC&lt;/tex&gt;and its applications

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Solutions of the equation AV+BW=VF and their application to eigenstructure assignment in linear systems

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An explicit solution to the matrix equation $AX - XF = BY$

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Kronecker Maps and Sylvester-Polynomial Matrix Equations

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Classroom Note:A Simple Proof of the Leverrier--Faddeev Characteristic Polynomial Algorithm

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published in

Computers & Mathematics with Applications

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Identifiers

zbMATH Open document ID

1198.15013

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Mathematics Subject Classification ID

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10.1016/J.CAMWA.2010.04.035

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Sitelinks

Mathematics(1 entry)

mardi Publication:604050