Los puntos clave no están disponibles para este artículo en este momento.
Previous article Next article Explicit Solutions of Linear Matrix EquationsPeter LancasterPeter Lancasterhttps: //doi. org/10. 1137/1012104PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout1 N. Dunford and, J. T. Schwarz, Linear Operators, Part I, Interscience, New York, 1966 Google Scholar2 F. R. Gantmacher, The theory of matrices. Vol. 1, Translated by K. A. Hirsch, Chelsea Publishing Co. , New York, 1959x+374 MR0107649 Google Scholar3 W. Givens, Elementary divisors and some properties of the Lyapunov mapping X→AX+XA*, Argonne National Laboratory, Illinois, 1961 Google Scholar4 Erhard Heinz, Beiträge zur Störungstheorie der Spektralzerlegung, Math. Ann. , 123 (1951), 415–438 10. 1007/BF02054965 MR0044747 0043. 32603 CrossrefGoogle Scholar5 Alston S. Householder, The theory of matrices in numerical analysis, Blaisdell Publishing Co. Ginn and Co. New York-Toronto-London, 1964xi+257 MR0175290 0161. 12101 Google Scholar6 Antony Jameson, Solution of the equation AX+XB=C by inversion of an M M or N N matrix, SIAM J. Appl. Math. , 16 (1968), 1020–1023 10. 1137/0116083 MR0234974 0169. 35202 LinkISIGoogle Scholar7 M. G. Krein, Lectures on Stability Theory in the Solution of Differential Equations in a Banach Space, Inst. of Math. , Ukrainian Acad. Sci. , (1964), , (In Russian. ) Google Scholar8 Peter Lancaster, Theory of matrices, Academic Press, New York, 1969xii+316 MR0245579 0186. 05301 Google Scholar9 Er-chieh Ma, A finite series solution of the matrix equation AX-XB=C, SIAM J. Appl. Math. , 14 (1966), 490–495 10. 1137/0114043 MR0201456 0144. 27003 LinkISIGoogle Scholar10 C. C. MacDuffee, The Theory of Matrices, Chelsea, New York, 1956 Google Scholar11 Alexander Ostrowski and, Hans Schneider, Some theorems on the inertia of general matrices, J. Math. Anal. Appl. , 4 (1962), 72–84 10. 1016/0022-247X (62) 90030-6 MR0142555 0112. 01401 CrossrefGoogle Scholar12 Marvin Rosenblum, On the operator equation BX-XA=Q, Duke Math. J. , 23 (1956), 263–269 10. 1215/S0012-7094-56-02324-9 MR0079235 0073. 33003 CrossrefISIGoogle Scholar13 Marvin Rosenblum, The operator equation BX-XA=Q with self-adjoint A and B, Proc. Amer. Math. Soc. , 20 (1969), 115–120 MR0233214 0167. 42801 ISIGoogle Scholar14 William E. Roth, The equations AX-YB=C and AX-XB=C in matrices, Proc. Amer. Math. Soc. , 3 (1952), 392–396 MR0047598 0047. 01901 ISIGoogle Scholar15 D. E. Rutherford, On the solution of the matrix equation AX+XB=C, Nederl. Akad. Wetensch. Proc. Ser. A, 35 (1932), 53–59 0004. 19502 Google Scholar16 R. A. Smith, Bounds for quadratic Lyapunov functions, J. Math. Anal. Appl. , 12 (1965), 425–435 10. 1016/0022-247X (65) 90010-7 MR0190475 0135. 29802 CrossrefISIGoogle Scholar17 R. A. Smith, Matrix equation XA+BX=C, SIAM J. Appl. Math. , 16 (1968), 198–201 10. 1137/0116017 MR0224268 0157. 22603 LinkISIGoogle Scholar18 Anthony Trampus, A canonical basis for the matrix transformation X AXB, J. Math. Anal. Appl. , 14 (1966), 153–160 10. 1016/0022-247X (66) 90068-0 MR0195875 0168. 03201 CrossrefISIGoogle Scholar19 Anthony Trampus, A canonical basis for the matrix transformation X AX+XB, J. Math. Anal. Appl, 14 (1966), 242–252 10. 1016/0022-247X (66) 90024-2 MR0190157 0145. 25205 CrossrefISIGoogle Scholar20 J. H. M. Wedderburn, Note on the linear matrix equation, Proc. Edinburgh Math. Soc. , 22 (1904), 49–53 CrossrefGoogle Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails The dynamical functional particle method for multi-term linear matrix equationsApplied Mathematics and Computation, Vol. 435 | 1 Dec 2022 Cross Ref Lyapunov–Sylvester computational method for numerical solutions of a mixed cubic-superlinear Schrödinger systemEngineering with Computers, Vol. 38, No. S2 | 16 January 2021 Cross Ref Smoothness Regularized Multiview Subspace Clustering With Kernel LearningIEEE Transactions on Neural Networks and Learning Systems, Vol. 32, No. 11 | 1 Nov 2021 Cross Ref The Sherman–Morrison–Woodbury formula for generalized linear matrix equations and applicationsNumerical Linear Algebra with Applications, Vol. 28, No. 5 | 6 May 2021 Cross Ref Analytic functional calculus for two operatorsAdvances in Operator Theory, Vol. 6, No. 4 | 19 July 2021 Cross Ref A global variant of the COCR method for the complex symmetric Sylvester matrix equation AX + XB = CComputers & Mathematics with Applications, Vol. 94 | 1 Jul 2021 Cross Ref On the solutions of a class of tensor equationsLinear and Multilinear Algebra, Vol. 2016 | 29 June 2021 Cross Ref Functions of rational Krylov space matrices and their decay propertiesNumerische Mathematik, Vol. 148, No. 1 | 7 April 2021 Cross Ref Optimality Properties of Galerkin and Petrov–Galerkin Methods for Linear Matrix EquationsVietnam Journal of Mathematics, Vol. 48, No. 4 | 5 March 2020 Cross Ref Rational Krylov and ADI iteration for infinite size quasi-Toeplitz matrix equationsLinear Algebra and its Applications, Vol. 604 | 1 Nov 2020 Cross Ref Construction of algorithms for discrete-time quasi-birth-and-death processes through physical interpretationStochastic Models, Vol. 36, No. 2 | 30 March 2020 Cross Ref Unsupervised Video Action Clustering via Motion-Scene Interaction ConstraintIEEE Transactions on Circuits and Systems for Video Technology, Vol. 30, No. 1 | 1 Jan 2020 Cross Ref A Krylov Subspace Method for the Approximation of Bivariate Matrix FunctionsStructured Matrices in Numerical Linear Algebra | 9 April 2019 Cross Ref Semi-supervised Multi-view Individual and Sharable Feature Learning for Webpage ClassificationThe World Wide Web Conference on - WWW '19 | 1 Jan 2019 Cross Ref Krylov methods for low-rank commuting generalized Sylvester equationsNumerical Linear Algebra with Applications, Vol. 25, No. 6 | 27 April 2018 Cross Ref Solutions to linear bimatrix equations with applications to pole assignment of complex-valued linear systemsJournal of the Franklin Institute, Vol. 355, No. 15 | 1 Oct 2018 Cross Ref Comparison of Sub-Gramian Analysis with Eigenvalue Analysis for Stability Estimation of Large Dynamical SystemsAutomation and Remote Control, Vol. 79, No. 10 | 12 October 2018 Cross Ref Distributed Continuous-Time Algorithm to Solve a Linear Matrix Equation2018 IEEE International Conference on Real-time Computing and Robotics (RCAR) | 1 Aug 2018 Cross Ref Multi-agent Network Flow Design to Solve Matrix Equation Based on Nonsmooth Convex Optimization2018 37th Chinese Control Conference (CCC) | 1 Jul 2018 Cross Ref Fragility and Controllability Tradeoff in Complex Networks2018 Annual American Control Conference (ACC) | 1 Jun 2018 Cross Ref On bivariate classical orthogonal polynomialsApplied Mathematics and Computation, Vol. 325 | 1 May 2018 Cross Ref Preconditioned HSS iteration method and its non-alternating variant for continuous Sylvester equationsComputers & Mathematics with Applications, Vol. 75, No. 4 | 1 Feb 2018 Cross Ref Numerical Methods for Large-Scale Lyapunov Equations with Symmetric Banded DataDavide Palitta and Valeria SimonciniSIAM Journal on Scientific Computing, Vol. 40, No. 5 | 23 October 2018AbstractPDF (918 KB) Efficient subspace clustering based on self-representation and grouping effectNeural Computing and Applications, Vol. 29, No. 1 | 13 June 2016 Cross Ref Reduced basis approximation of large scale parametric algebraic Riccati equationsESAIM: Control, Optimisation and Calculus of Variations, Vol. 24, No. 1 | 17 January 2018 Cross Ref Spectral decomposition based solutions to the matrix equationIET Control Theory & Applications, Vol. 12, No. 1 | 1 January 2018 Cross Ref Constrained Low-Rank Representation for Robust Subspace ClusteringIEEE Transactions on Cybernetics, Vol. 47, No. 12 | 1 Dec 2017 Cross Ref Fractality in nonequilibrium steady states of quasiperiodic systemsPhysical Review E, Vol. 96, No. 3 | 19 September 2017 Cross Ref Spectral clustering based on hypergraph and self-re-presentationMultimedia Tools and Applications, Vol. 76, No. 16 | 21 December 2016 Cross Ref A Coupled Hidden Markov Random Field model for simultaneous face clustering and tracking in videosPattern Recognition, Vol. 64 | 1 Apr 2017 Cross Ref Cross-Gramian-Based Model Reduction: A ComparisonModel Reduction of Parametrized Systems | 6 September 2017 Cross Ref Unsupervised feature selection via Diversity-induced Self-representationNeurocomputing, Vol. 219 | 1 Jan 2017 Cross Ref Unsupervised Matrix-valued Kernel Learning For One Class ClassificationProceedings of the 2017 ACM on Conference on Information and Knowledge Management - CIKM '17 | 1 Jan 2017 Cross Ref A Banded Preconditioning Iteration Method for Time-Space Fractional Advection-Diffusion EquationsMathematical Problems in Engineering, Vol. 2017 | 1 Jan 2017 Cross Ref Model Reduction of Neutral Linear and Nonlinear Time-Invariant Time-Delay Systems With Discrete and Distributed DelaysIEEE Transactions on Automatic Control, Vol. 61, No. 6 | 1 Jun 2016 Cross Ref On solutions of the matrix equation AX=B with respect to semi-tensor productJournal of the Franklin Institute, Vol. 353, No. 5 | 1 Mar 2016 Cross Ref Computational Methods for Linear Matrix EquationsV. SimonciniSIAM Review, Vol. 58, No. 3 | 4 August 2016AbstractPDF (851 KB) H2 order-reduction for bilinear systems based on Grassmann manifoldJournal of the Franklin Institute, Vol. 352, No. 10 | 1 Oct 2015 Cross Ref Positive Solutions of a Class of Operator EquationsUkrainian Mathematical Journal, Vol. 67, No. 2 | 24 October 2015 Cross Ref On modified HSS iteration methods for continuous Sylvester equationsApplied Mathematics and Computation, Vol. 263 | 1 Jul 2015 Cross Ref Decay Bounds for Functions of Hermitian Matrices with Banded or Kronecker StructureMichele Benzi and Valeria SimonciniSIAM Journal on Matrix Analysis and Applications, Vol. 36, No. 3 | 1 September 2015AbstractPDF (1517 KB) A computational framework of gradient flows for general linear matrix equationsNumerical Algorithms, Vol. 68, No. 1 | 10 July 2014 Cross Ref Model Order Reduction for Linear and Nonlinear Systems: A System-Theoretic PerspectiveArchives of Computational Methods in Engineering, Vol. 21, No. 4 | 20 August 2014 Cross Ref Smooth Representation Clustering2014 IEEE Conference on Computer Vision and Pattern Recognition | 1 Jun 2014 Cross Ref A Generalized HSS Iteration Method for Continuous Sylvester EquationsJournal of Applied Mathematics, Vol. 2014 | 1 Jan 2014 Cross Ref Model Reduction by Moment Matching for Linear Time-Delay SystemsIFAC Proceedings Volumes, Vol. 47, No. 3 | 1 Jan 2014 Cross Ref On positive-definite and skew-Hermitian splitting iteration methods for continuous Sylvester equation AX+XB=CComputers & Mathematics with Applications, Vol. 66, No. 11 | 1 Dec 2013 Cross Ref A Risk Model with an Observer in a Markov EnvironmentRisks, Vol. 1, No. 3 | 11 November 2013 Cross Ref Adaptive controller placement for wireless sensor–actuator networks with erasure channelsAutomatica, Vol. 49, No. 11 | 1 Nov 2013 Cross Ref Kernel-based distance metric learning in the output spaceThe 2013 International Joint Conference on Neural Networks (IJCNN) | 1 Aug 2013 Cross Ref Exhaustive and Efficient Constraint Propagation: A Graph-Based Learning Approach and Its ApplicationsInternational Journal of Computer Vision, Vol. 103, No. 3 | 14 December 2012 Cross Ref Correction to "Packetized Predictive Control of Stochastic Systems Over Bit-Rate Limited Channels With Packet Loss"IEEE Transactions on Automatic Control, Vol. 58, No. 7 | 1 Jul 2013 Cross Ref Effective condition numbers and small sample statistical condition estimation for the generalized Sylvester equationScience China Mathematics, Vol. 56, No. 5 | 1 February 2013 Cross Ref Heterogeneous Constraint Propagation with Constrained Sparse Representation2012 IEEE 12th International Conference on Data Mining | 1 Dec 2012 Cross Ref Mixed, componentwise condition numbers and small sample statistical condition estimation of Sylvester equationsNumerical Linear Algebra with Applications, Vol. 19, No. 4 | 18 October 2011 Cross Ref Approximating and computing nonlinear matrix differential modelsMathematical and Computer Modelling, Vol. 55, No. 7-8 | 1 Apr 2012 Cross Ref Numerical solutions of AXB = C for centrosymmetric matrix X under a specified submatrix constraintNumerical Linear Algebra with Applications, Vol. 18, No. 5 | 1 February 2011 Cross Ref Convergence analysis of the extended Krylov subspace method for the Lyapunov equationNumerische Mathematik, Vol. 118, No. 3 | 26 February 2011 Cross Ref On Symmetric and Skew-Symmetric Solutions to a Procrustes ProblemNumerical Linear Algebra in Signals, Systems and Control | 22 May 2011 Cross Ref Numerical solutions of AXB = C for mirrorsymmetric matrix X under a specified submatrix constraintComputing, Vol. 90, No. 1-2 | 5 August 2010 Cross Ref The nearness problems for symmetric centrosymmetric with a special submatrix constraintNumerical Algorithms, Vol. 55, No. 1 | 15 December 2009 Cross Ref Closed-form solutions to Sylvester-conjugate matrix equationsComputers & Mathematics with Applications, Vol. 60, No. 1 | 1 Jul 2010 Cross Ref Approximate Numerical Solutions of Autonomous Second-Order Matrix Models Using Cubic Matrix SplinesProgress in Industrial Mathematics at ECMI 2008 | 20 May 2010 Cross Ref Neuro-Adaptive Output Feedback Control for a Class of Nonlinear Non-Minimum Phase SystemsJournal of Intelligent and Robotic Systems, Vol. 56, No. 5 | 25 April 2009 Cross Ref Power series solutions for linear higher order rectangular differential matrix control systems2009 17th Mediterranean Conference on Control and Automation | 1 Jun 2009 Cross Ref A numerical solution of the stochastic discrete algebraic Riccati equationArtificial Life and Robotics, Vol. 13, No. 2 | 8 March 2009 Cross Ref The Smoothed Spectral Abscissa for Robust Stability OptimizationJoris Vanbiervliet, Bart Vandereycken, Wim Michiels, Stefan Vandewalle, and Moritz DiehlSIAM Journal on Optimization, Vol. 20, No. 1 | 25 March 2009AbstractPDF (570 KB) Adaptive neural network output feedback stabilization of nonlinear non-minimum phase systemsInternational Journal of Adaptive Control and Signal Processing, Vol. 11 | 1 Jan 2009 Cross Ref Approximate implicit subspace iteration with alternating directions for LTI system model reductionNumerical Linear Algebra with Applications, Vol. 15, No. 9 | 1 Nov 2008 Cross Ref Low rank solution of data-sparse Sylvester equationsNumerical Linear Algebra with Applications, Vol. 15, No. 9 | 1 Nov 2008 Cross Ref Numerical solution of large-scale Lyapunov equations, Riccati equations, and linear-quadratic optimal control problemsNumerical Linear Algebra with Applications, Vol. 15, No. 9 | 1 Nov 2008 Cross Ref Numerical solutions of second-order matrix models using cubic-matrix splinesComputers & Mathematics with Applications, Vol. 56, No. 10 | 1 Nov 2008 Cross Ref Numerical solutions of matrix differential models using cubic matrix splines IIMathematical and Computer Modelling, Vol. 46, No. 5-6 | 1 Sep 2007 Cross Ref A new version of successive approximations method for solving Sylvester matrix equationsApplied Mathematics and Computation, Vol. 186, No. 1 | 1 Mar 2007 Cross Ref Algorithms for model reduction of large dynamical systemsLinear Algebra and its Applications, Vol. 415, No. 2-3 | 1 Jun 2006 Cross Ref Algebraically Defined Gramians for Nonlinear SystemsProceedings of the 45th IEEE Conference on Decision and Control | 1 Jan 2006 Cross Ref Data-sparse approximation to a class of operator-valued functionsMathematics of Computation, Vol. 74, No. 250 | 23 August 2004 Cross Ref Reduced-order controller design with low sensitivity to small feedback delaysInternational Journal of Systems Science, Vol. 35, No. 9 | 20 Jul 2004 Cross Ref Existence of a low rank or ℋ︁-matrix approximant to the solution of a Sylvester equationNumerical Linear Algebra with Applications, Vol. 11, No. 4 | 19 April 2004 Cross Ref Sliding mode state observation for non-linear systemsInternational Journal of Control, Vol. 77, No. 2 | 20 Jan 2004 Cross Ref Low-Rank Solution of Lyapunov EquationsJing-Rebecca Li and Jacob WhiteSIAM Review, Vol. 46, No. 4 | 4 August 2006AbstractPDF (637 of Sylvester and Lyapunov Algebra and its Applications, Vol. | 1 Apr Cross Ref Theory for Matrix Equations | 1 Jan Cross Ref On and of discrete-time bilinear systemsInternational Journal of Control, Vol. 76, No. 4 | 1 Jan Cross Ref numbers of algebraic Riccati equations in the Algebra and its Applications, Vol. No. | 1 Jul Cross Ref Analytic of Sylvester matrix Transactions on Automatic Control, Vol. 47, No. 7 | 1 Jul Cross Ref On model reduction of bilinear Vol. 38, No. 2 | 1 Feb Cross Ref Low Solution of Lyapunov EquationsJing-Rebecca Li and Jacob WhiteSIAM Journal on Matrix Analysis and Applications, Vol. 24, No. 1 | July 2006AbstractPDF of of Peter and Matrices | 1 Jan Cross Ref Positive Linear and the Lyapunov and Matrices | 1 Jan Cross Ref Sliding mode for a class of nonlinear of the American Control Conference | 1 Jan Cross Ref The Kronecker productJournal of Computational and Applied Mathematics, Vol. No. 1-2 | 1 Nov Cross Ref linear quadratic control and Proceedings - Control Theory and Applications, Vol. No. 6 | 1 Nov Cross Ref Eigenvalue decay for solutions of Lyapunov the symmetric & Control Vol. 40, No. 2 | 1 Jun Cross Ref of the Lyapunov K. E. and Journal on Matrix Analysis and Applications, Vol. No. 1 | July 2006AbstractPDF problems with order non-linear system Existence and Mathematics and Computation, Vol. No. 2-3 | 1 May Cross Ref and solutions of some operator equations based on the Algebra and its Applications, Vol. No. | 1 Oct Cross Ref Models for Design and Control of Computer and Vol. 46, No. 4 | 1 Aug Cross Ref Functions and Gramians for SystemsIFAC Proceedings Volumes, Vol. No. 17 | 1 Jul Cross Ref On for of a matrix Algebra and its Applications, Vol. | 1 Jan Cross Ref of linear to matrix equationsLinear Algebra and its Applications, Vol. | 1 Dec Cross Ref On model reduction of systemsInternational Journal of Systems Science, Vol. 28, No. 5 | 1 May Cross Ref Approximate Solution of Sylvester and Journal on Matrix Analysis and Applications, Vol. 18, No. 2 | July 2006AbstractPDF order implicit methods for matrix differential equationsComputers & Mathematics with Applications, Vol. No. 4 | 1 Feb Cross Ref 1 | 1 Jan Cross Ref Solution of Sylvester equations in Algebra and its Applications, Vol. No. | 1 Dec Cross Ref method and the tensor equation Mathematics and Vol. No. 10 | 1 Oct Cross Ref The linear tensor equation Mathematics and Vol. No. 10 | 1 Oct Cross Ref with Transactions on and Systems, Vol. 32, No. 3 | 1 Jul Cross Ref Methods and Stability for Coupled Systems of Operator and Journal on Numerical Vol. No. 2 | 12 July 2006AbstractPDF solution of the Lyapunov equation by Algebra and its Applications, Vol. | 1 Mar Cross Ref Continuous and Discrete Lyapunov Review and New in Discrete and Continuous Robust Systems | 1 Jan Cross Ref The solution of the matrix equation Mathematics and Vol. No. 12 | 1 Dec Cross Ref numerical of differential Riccati equationsApplied Mathematics and Computation, Vol. No. 2-3 | 1 Oct Cross Ref The matrix Transactions on Automatic Control, Vol. 40, No. 8 | 1 Aug Cross Ref for Algebra and its Applications, Vol. | 1 May Cross Ref Continuous algebraic Lyapunov Matrix Equation in Stability and Control | 1 Jan Cross Ref A matrix equation to solving in of Applied Vol. No. | 14 July 2016 Cross Ref New model reduction for bilinear systemsInternational Journal of Systems Science, Vol. 25, No. 10 | 1 Sep Cross Ref A matrix equation to solving in of Applied Vol. No. 3 | 14 July 2016 Cross Ref On the numerical analysis of generalized equationsNumerical Analysis and Optimization, Vol. 15, No. 7-8 | 1 Jan Cross Ref On the numerical of equationsNumerical Analysis and Optimization, Vol. 15, No. 7-8 | 1 Jan Cross Ref approximation of a bilinear Power Systems Vol. No. 1 | 1 Jan Cross Ref A formula for the of the in the solution of matrix Journal of Mathematical in and Technology, Vol. 24, No. 1 | 1 Jan Cross Ref nonlinear Lyapunov and of Mathematical Analysis and Applications, Vol. No. 2 | 1 Jul Cross Ref analysis of gradient methods for solving algebraic Riccati Transactions on Automatic Control, Vol. No. 7 | 1 Jul Cross Ref Numerical of the Differential Riccati Equation and Some Journal on Numerical Vol. 29, No. 3 | 14 July 2006AbstractPDF and applications of the Lyapunov equation for control Transactions on Industrial Vol. No. 3 | 1 Jun Cross Ref and the tensor equation of Vol. No. 3 | 1 Mar Cross Ref and solutions of AX = and AX = Algebra and its Applications, Vol. | 1 Jan Cross Ref A general analysis of matrix Journal of Mathematical in and Technology, Vol. No. 4 | 1 Jul Cross Ref and Matrix and J. Journal on Scientific and Computing, Vol. 12, No. 3 | 13 July 2006AbstractPDF numerical and method for solving algebraic Riccati Transactions on Automatic Control, Vol. 36, No. 5 | 1 May Cross Ref Riccati Hermitian and Riccati Equation | 1 Jan Cross Ref of the discrete-time Lyapunov Transactions on Automatic Control, Vol. 35, No. 11 | 1 Nov Cross Ref for of solutions to algebraic of Control, Signals, and Systems, Vol. No. 3 | 1 Sep Cross Ref The of the and Differential Riccati and Journal on Control and Optimization, Vol. 28, No. 1 | 1 August 2006AbstractPDF of solution of the operator equation AX XB = with A, B, & Mathematics with Applications, Vol. 19, No. | 1 Jan Cross Ref Analysis of bilinear systems using Transactions on Automatic Control, Vol. 35, No. 1 | 1 Jan Cross Ref New for of linear systemsJournal of the Chinese of Vol. 12, No. 6 | 4 May 2011 Cross Ref Symmetric solutions of linear matrix equations by matrix Algebra and its Applications, Vol. | 1 Jul Cross Ref for Matrix and J. Journal on Matrix Analysis and Applications, Vol. No. 2 | 17 July 2006AbstractPDF KB) A for & Control Vol. 12, No. 3 | 1 Apr Cross Ref analysis of and an Transactions on Circuits and Systems, Vol. 36, No. 4 | 1 Apr Cross Ref The matrix equation = and its Algebra and its Applications, Vol. | 1 Oct Cross Ref The solution of the matrix equation + + C = Algebra and its Applications, Vol. | 1 Jul Cross Ref The of the Lyapunov and Journal on Control and Optimization, Vol. No. 2 | 14 July 2006AbstractPDF of and in linear models and Computer Modelling, Vol. 11 | 1 Jan Cross Ref and the Analysis of the Generalized Eigenvalue Journal on Numerical Vol. 24, No. 5 | 14 July 2006AbstractPDF inversion using orthogonal Systems, and Signal Processing, Vol. 6, No. 3 | 1 Sep Cross Ref On the of matrix Algebra and its Applications, Vol. | 1 Jun Cross Ref Analysis of systems using orthogonal Transactions on Automatic Control, Vol. 32, No. 6 | 1 Jun Cross Ref and for Transactions on Automatic Control, Vol. 32, No. 2 | 1 Feb Cross Ref On the of the Lyapunov and Journal on Discrete Vol. No. 1 | 17 July 2006AbstractPDF the operator equation = of Mathematical Analysis and Applications, Vol. 118, No. 2 | 1 Sep Cross Ref On the Operator - Journal of Applied Mathematics and Vol. 66, No. 9 | 1 Jan Cross Ref On the for symmetric Transactions on Circuits and Systems, Vol. 32, No. 5 | 1 May Cross Ref Matrix and linear operator der Mathematik, Vol. 40, No. 1 | 1 Dec Cross Ref matrices and linear matrix equations and Multilinear Algebra, Vol. No. 1 | 2 April 2008 Cross Ref to two matrices Transactions on Automatic Control, Vol. No. 5 | 1 Oct Cross Ref On a matrix for linear Transactions on Automatic Control, Vol. No. 4 | 1 Aug Cross Ref A solution of the via canonical Transactions on Automatic Control, Vol. No. 3 | 1 Jun Cross Ref methods for the of some linear matrix equationsLinear Algebra and its Applications, Vol. | 1 Apr Cross Ref of a rational and Multilinear Algebra, Vol. 11, No. 3 | 30 May 2007 Cross Ref A general theory for matrix in of the complex Transactions on Automatic Control, Vol. No. 4 | 1 Aug Cross Ref The matrix, the operator and Kronecker a and Multilinear Algebra, Vol. No. 4 | 2 April 2008 Cross Ref for the solution of Lyapunov matrix Journal of Control, Vol. No. 1 | 21 May 2007 Cross Ref A method for the AX + Transactions on Automatic Control, Vol. 24, No. 6 | 1 Dec Cross Ref On the of M. Journal on Numerical Vol. No. 2 | July 2006AbstractPDF and for matrices, with some in and Journal of Vol. No. 1 | 1 Jan Cross Ref Kronecker and matrix calculus in system Transactions on Circuits and Systems, Vol. 25, No. 9 | 1 Sep Cross Ref The Matrix Equation + = Journal on Applied Mathematics, Vol. 32, No. 4 | 12 July 2006AbstractPDF solutions of Algebra and its Applications, Vol. No. 1 | 1 Jan Cross Ref of linear matrix Transactions on Automatic Control, Vol. 21, No. 1 | 1 Feb Cross Ref and Algebra and its Applications, Vol. 15, No. 3 | 1 Jan Cross Ref on Generalized and and | 1 Jan Cross Ref and the Matrix Riccati A. Journal on Control, Vol. 13, No. 6 | 18 July 2006AbstractPDF and solutions of linear matrix equationsLinear Algebra and its Applications, Vol. No. 2 | 1 Apr Cross Ref A on matrix equations and Transactions on Automatic Control, Vol. 20, No. 1 | 1 Feb Cross Ref Matrix quadratic of the Mathematical Vol. No. 3 | 17 April 2009 Cross Ref Explicit solutions of the matrix Vol. No. 2-3 | 1 May Cross Ref Some in algebraic systems a Journal of Control, Vol. 19, No. 4 | 1 Apr Cross Ref The Matrix Equation + XB = Journal on Applied Mathematics, Vol. No. 1 | 12 July 2006AbstractPDF Vol. No. | 1 Jan Cross Ref Analytic Solutions of Matrix and Multilinear Algebra, Vol. No. 3 | 1 Jan Cross Ref and Bounds for with Eigenvalue W. Review, Vol. 15, No. 4 | 18 July 2006AbstractPDF of a discrete matrix Riccati equation of linear control and of Mathematical Analysis and Applications, Vol. No. 1 | 1 Apr Cross Ref Matrix Differential Equations and Kronecker Journal on Applied Mathematics, Vol. 24, No. 1 | 17 February and the Solution of - XB = - E. Journal on Applied Mathematics, Vol. No. 1 | 12 July 2006AbstractPDF design of the linear with state feedback via second-order Journal of Control, Vol. No. 1 | 24 October 2007 Cross Ref the Matrix Equation = = and D. Review, Vol. No. 2 | 18 July 2006AbstractPDF of Sylvester equations in of Joint Conference on Control Intelligent Control and Computer Control Design Cross Ref to the solution of large Lyapunov and algebraic Riccati of the IEEE Conference on Decision and Control Cross Ref Analytic of Sylvester and Lyapunov matrix of the IEEE Conference on Decision and Control Cross Ref Matrix in Network International Cross Ref 12, August July 2006 for Industrial and Applied & for Industrial and Applied Mathematics
Peter Lancaster (Thu,) studied this question.