Matches in SemOpenAlex for { <https://semopenalex.org/work/W2089700394> ?p ?o ?g. }
Showing items 1 to 67 of
67
with 100 items per page.
- W2089700394 endingPage "1023" @default.
- W2089700394 startingPage "1020" @default.
- W2089700394 abstract "Previous article Next article Solution of the Equation $AX + XB = C$ by Inversion of an $M times M$ or $N times N$ MatrixAntony JamesonAntony Jamesonhttps://doi.org/10.1137/0116083PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Joseph LaSalle and , Solomon Lefschetz, Stability by Liapunov's direct method, with applications, Mathematics in Science and Engineering, Vol. 4, Academic Press, New York, 1961vi+134 MR0132876 (24:A2712) 0098.06102 Google Scholar[2] R. A. Smith, Matrix calculations for Liapunov quadratic forms, J. Differential Equations, 2 (1966), 208–217 10.1016/0022-0396(66)90044-1 MR0188557 (32:5995) 0151.02206 CrossrefISIGoogle Scholar[3] S. Barnett and , C. Storey, Analysis and synthesis of stability matrices, J. Differential Equations, 3 (1967), 414–422 10.1016/0022-0396(67)90041-1 MR0210991 (35:1876) 0156.03601 CrossrefISIGoogle Scholar[4] 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 (34:1340) 0144.27003 LinkISIGoogle Scholar[5] Richard Bellman, Introduction to matrix analysis, McGraw-Hill Book Co., Inc., New York, 1960xx+328 MR0122820 (23:A153) 0124.01001 Google Scholar[6] M. Bocher, Introduction to Higher Algebra, Macmillan, New York, 1947 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails A New Algorithm for Convex Biclustering and Its Extension to the Compositional Data28 September 2022 | Statistics in Biosciences, Vol. 15 Cross Ref Lyapunov–Sylvester computational method for numerical solutions of a mixed cubic-superlinear Schrödinger system16 January 2021 | Engineering with Computers, Vol. 38, No. S2 Cross Ref Multi-label transfer learning via latent graph alignment6 November 2021 | World Wide Web, Vol. 25, No. 2 Cross Ref Alpha Procrustes metrics between positive definite operators: A unifying formulation for the Bures-Wasserstein and Log-Euclidean/Log-Hilbert-Schmidt metricsLinear Algebra and its Applications, Vol. 636 Cross Ref Efficient simulation of the dynamics of an n -dimensional PT -symmetric system with a local-operations-and-classical-communication protocol based on an embedding scheme3 March 2022 | Physical Review A, Vol. 105, No. 3 Cross Ref A Study on Commutative Elliptic Octonion Matrices12 March 2022 | Analele Universitatii Ovidius Constanta - Seria Matematica, Vol. 30, No. 1 Cross Ref Strip-Map SAR Image Formulation Based on the Modified Alternating Split Bregman Method21 October 2021 | Remote Sensing, Vol. 13, No. 21 Cross Ref Numerical Algorithm for Solving General Linear Elliptic Quaternionic Matrix Equations9 September 2021 | Fundamental Journal of Mathematics and Applications Cross Ref Boundary Mittag-Leffler stabilization of coupled time fractional order reaction–advection–diffusion systems with non-constant coefficientsSystems & Control Letters, Vol. 149 Cross Ref Modes of Homogeneous Gradient FlowsIdo Cohen, Omri Azencot, Pavel Lifshits, and Guy Gilboa9 July 2021 | SIAM Journal on Imaging Sciences, Vol. 14, No. 3AbstractPDF (7697 KB)Solutions to the linear transpose matrix equations and their application in control4 October 2020 | Computational and Applied Mathematics, Vol. 39, No. 4 Cross Ref Observation and stabilisation of coupled time‐fractional reaction–advection–diffusion systems with spatially‐varying coefficients11 February 2021 | IET Control Theory & Applications, Vol. 14, No. 19 Cross Ref R-ELMNet: Regularized extreme learning machine networkNeural Networks, Vol. 130 Cross Ref Solution formulas for differential Sylvester and Lyapunov equations16 November 2019 | Calcolo, Vol. 56, No. 4 Cross Ref Frequency-hopping transmitter fingerprint feature recognition with kernel projection and joint representation2 September 2019 | Frontiers of Information Technology & Electronic Engineering, Vol. 20, No. 8 Cross Ref Massive MIMO-OFDM Channel Estimation via Distributed Compressed SensingIEEE Wireless Communications Letters, Vol. 8, No. 2 Cross Ref Operational shifted hybrid Gegenbauer functions method d for solving multi-term time fractional differential equations10 March 2019 | Boletim da Sociedade Paranaense de Matemática, Vol. 38, No. 4 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 Cross Ref Convex clustering with metric learningPattern Recognition, Vol. 81 Cross Ref On bivariate classical orthogonal polynomialsApplied Mathematics and Computation, Vol. 325 Cross Ref Incrementally perceiving hazards in drivingNeurocomputing, Vol. 282 Cross Ref A Generative Approach to Zero-Shot and Few-Shot Action Recognition Cross Ref Spectral decomposition based solutions to the matrix equation1 January 2018 | IET Control Theory & Applications, Vol. 12, No. 1 Cross Ref Verlet-like algorithms for Car-Parrinello molecular dynamics with unequal electronic occupationsThe Journal of Chemical Physics, Vol. 147, No. 11 Cross Ref Boundary Control of Coupled Reaction-Advection-Diffusion Systems With Spatially-Varying CoefficientsIEEE Transactions on Automatic Control, Vol. 62, No. 4 Cross Ref Improved neural dynamics for online Sylvester equations solvingInformation Processing Letters, Vol. 116, No. 7 Cross Ref On the Sylvester-like matrix equation AX+f(X)B=CJournal of the Franklin Institute, Vol. 353, No. 5 Cross Ref Influence diagnostics in elliptical spatial linear models22 October 2014 | TEST, Vol. 24, No. 2 Cross Ref Efficient three-dimensional resist profile-driven source mask optimization optical proximity correction based on Abbe-principal component analysis and Sylvester equationJournal of Micro/Nanolithography, MEMS, and MOEMS, Vol. 14, No. 1 Cross Ref A new technique for solving continuous Sylvester-conjugate matrix equations3 April 2014 | Transactions of the Institute of Measurement and Control, Vol. 36, No. 8 Cross Ref Regularized Simultaneous Forward–Backward Greedy Algorithm for Sparse Unmixing of Hyperspectral DataIEEE Transactions on Geoscience and Remote Sensing, Vol. 52, No. 9 Cross Ref A new technique for solving continuous Sylvester-conjugate matrix equation AX − X̅B = C Cross Ref Nonlocal similarity regularization for sparse hyperspectral unmixing Cross Ref Nonadiabatic couplings and gauge-theoretical structure of curved quantum waveguides24 March 2014 | Physical Review A, Vol. 89, No. 3 Cross Ref Nonlocal Similarity Regularized Sparsity Model for Hyperspectral Target DetectionIEEE Geoscience and Remote Sensing Letters, Vol. 10, No. 6 Cross Ref Explicit solutions to the matrix equation EXF − AX = C1 August 2013 | IET Control Theory & Applications, Vol. 7, No. 12 Cross Ref Tau leaping of stiff stochastic chemical systems via local central limit approximationJournal of Computational Physics, Vol. 242 Cross Ref On the generalized reflexive and anti-reflexive solutions to a system of matrix equationsLinear Algebra and its Applications, Vol. 437, No. 11 Cross Ref On solutions of the matrix equations andComptes Rendus Mathematique, Vol. 350, No. 19-20 Cross Ref New method for general Kennaugh’s pseudo-eigenvalue equation in radar polarimetry22 December 2011 | Frontiers of Mathematics in China, Vol. 7, No. 1 Cross Ref Deterministic Continuation of Stochastic Metastable Equilibria via Lyapunov Equations and EllipsoidsChristian Kuehn19 June 2012 | SIAM Journal on Scientific Computing, Vol. 34, No. 3AbstractPDF (916 KB)Toward solution of matrix equation X=Af(X)B+CLinear Algebra and its Applications, Vol. 435, No. 6 Cross Ref 3D image geo-registration using vision-based modeling Cross Ref On the properness condition for modal analysis of non-symmetric second-order systemsMechanical Systems and Signal Processing, Vol. 25, No. 2 Cross Ref Experimental modal analysis of non-self adjoint systems: inverse problem regularization12 May 2011 Cross Ref Closed-form solutions to Sylvester-conjugate matrix equationsComputers & Mathematics with Applications, Vol. 60, No. 1 Cross Ref Closed-form solutions to the nonhomogeneous Yakubovich-conjugate matrix equationApplied Mathematics and Computation, Vol. 214, No. 2 Cross Ref On matrix equations X−AXF=C and X−AX¯F=CJournal of Computational and Applied Mathematics, Vol. 230, No. 2 Cross Ref Explicit polynomial formulas for solutions of the matrix equation AX−XA=CJournal of Mathematical Physics, Vol. 50, No. 8 Cross Ref Closed-form solutions to the matrix equation AX − EXF = BY with F in companion form24 April 2009 | International Journal of Automation and Computing, Vol. 6, No. 2 Cross Ref Solutions to right coprime factorizations and generalized Sylvester matrix equations1 December 2008 | Transactions of the Institute of Measurement and Control, Vol. 30, No. 5 Cross Ref Lyapunov type operators for numerical solutions of PDEsApplied Mathematics and Computation, Vol. 204, No. 1 Cross Ref Energy pairs in the micropolar continuumInternational Journal of Solids and Structures, Vol. 44, No. 14-15 Cross Ref On the Parametric Solution to the Second-Order Sylvester Matrix Equation EVF2−AVF−CV=BWMathematical Problems in Engineering, Vol. 2007 Cross Ref On solutions of the matrix equations XF−AX=C andApplied Mathematics and Computation, Vol. 183, No. 2 Cross Ref On a Solution of the Quaternion Matrix Equation $$ X - Atilde{X}B = C $$ and Its Application15 December 2004 | Acta Mathematica Sinica, English Series, Vol. 21, No. 3 Cross Ref An explicit solution to the matrix equation AX−XF=BYLinear Algebra and its Applications, Vol. 402 Cross Ref NUMERICAL SOLUTIONS AND CONDITIONING OF LYAPUNOV AND SYLVESTER EQUATIONS Cross Ref On solutions of the matrix equations X−AXB=C and X−AXB=CLinear Algebra and its Applications, Vol. 367 Cross Ref Bibliography Cross Ref A novel approach to the solution of the tensor equation AX+XA=HInternational Journal of Solids and Structures, Vol. 37, No. 25 Cross Ref Two-point boundary value problems associated with first order non-linear difference system — Existence and uniquenessApplied Mathematics and Computation, Vol. 100, No. 2-3 Cross Ref Inverse electrocardiography by simultaneous imposition of multiple constraintsIEEE Transactions on Biomedical Engineering, Vol. 46, No. 1 Cross Ref A generalization of Jameson's method for Sylvester's matrix equationInternational Journal of Mathematical Education in Science and Technology, Vol. 29, No. 2 Cross Ref Approximations and error bounds for computing the inverse mappingApplications of Mathematics, Vol. 42, No. 2 Cross Ref New expressions for the solution of the matrix equation A T X+XA=HJournal of Elasticity, Vol. 45, No. 1 Cross Ref Principal axis intrinsic method and the high dimensional tensor equation AX?XA=CApplied Mathematics and Mechanics, Vol. 17, No. 10 Cross Ref The linear bi-spatial tensor equation ?i j AiXBj= CApplied Mathematics and Mechanics, Vol. 17, No. 10 Cross Ref Track-to-track fusion with dissimilar sensorsIEEE Transactions on Aerospace and Electronic Systems, Vol. 32, No. 3 Cross Ref The Sun's effect on motion relative to the earthInternational Journal of Mathematical Education in Science and Technology, Vol. 27, No. 3 Cross Ref The matrix equation AXB−GXD = E over the quaternion fieldLinear Algebra and its Applications, Vol. 234 Cross Ref Stability and control of saturated linear systems Cross Ref The explicit solution of the matrix equation AX−XB=CApplied Mathematics and Mechanics, Vol. 16, No. 12 Cross Ref A perturbation treatment of oscillating magnetic fields in the radical pair mechanism using the Liouville equationChemical Physics, Vol. 195, No. 1-3 Cross Ref Chapter Two Continuous algebraic Lyapunov equation Cross Ref A matrix equation approach to solving recurrence relations in two-dimensional random walks14 July 2016 | Journal of Applied Probability, Vol. 31, No. 03 Cross Ref A matrix equation approach to solving recurrence relations in two-dimensional random walks14 July 2016 | Journal of Applied Probability, Vol. 31, No. 3 Cross Ref A link between the matrix equation AX –XB = C and the matrix quadraticInternational Journal of Mathematical Education in Science and Technology, Vol. 25, No. 3 Cross Ref The tensor equation AX+XA=?(A,H), with applications to kinematics of continuaJournal of Elasticity, Vol. 36, No. 2 Cross Ref On the numerical analtsys of generated sylvester equationsNumerical Functional Analysis and Optimization, Vol. 15, No. 7-8 Cross Ref Nonstationary equivalent linearization of nonlinear continuous systemsProbabilistic Engineering Mechanics, Vol. 8, No. 3-4 Cross Ref A closed‐form formula for the inverse of the nivellateur in the solution of Sylvester's matrix equationInternational Journal of Mathematical Education in Science and Technology, Vol. 24, No. 1 Cross Ref Two (multi) point nonlinear Lyapunov systems—Existence and uniquenessJournal of Mathematical Analysis and Applications, Vol. 167, No. 2 Cross Ref Twirl tensors and the tensor equation AX−XA=CJournal of Elasticity, Vol. 27, No. 3 Cross Ref Symmetric, positive semidefinite, and positive definite real solutions of AX = XAT and AX = YBLinear Algebra and its Applications, Vol. 160 Cross Ref A general analysis of Sylvester's matrix equationInternational Journal of Mathematical Education in Science and Technology, Vol. 22, No. 4 Cross Ref Explicit solution of the matrix equation AXB − CXD = ELinear Algebra and its Applications, Vol. 121 Cross Ref A formula for the solution of the matrix equation AX+XB=CInternational Journal of Mathematical Education in Science and Technology, Vol. 20, No. 4 Cross Ref Linear Matrix Equations Controllability and Observability, and the Rank of SolutionsHarald K. Wimmer17 July 2006 | SIAM Journal on Matrix Analysis and Applications, Vol. 9, No. 4AbstractPDF (592 KB)An algorithm for solving generalized algebraic Lyapunov equations in Hilbert space, applications to boundary value problems20 January 2009 | Proceedings of the Edinburgh Mathematical Society, Vol. 31, No. 1 Cross Ref Boundary-value problems and cauchy problems for the second-order Euler operator differential equationLinear Algebra and its Applications, Vol. 91 Cross Ref Boundary value problems for second-order differential operator equationsLinear Algebra and its Applications, Vol. 83 Cross Ref Boundary problems for Riccati and Lyapunov equations20 January 2009 | Proceedings of the Edinburgh Mathematical Society, Vol. 29, No. 1 Cross Ref Jordan form Assignment by State FeedbackIFAC Proceedings Volumes, Vol. 17, No. 2 Cross Ref Algebraic methods for the study of some linear matrix equationsLinear Algebra and its Applications, Vol. 44 Cross Ref Applications of the Wronskian and Gram matrices of {tieλkt}Linear Algebra and its Applications, Vol. 43 Cross Ref Controllability, observability and the solution of AX - XB = CLinear Algebra and its Applications, Vol. 39 Cross Ref Spectral theory of the linear-quadratic optimal control problem: Discrete-time single-input caseIEEE Transactions on Circuits and Systems, Vol. 25, No. 9 Cross Ref MULTIVARIATE AUTOREGRESSION ESTIMATION USING RESIDUALS Cross Ref An Efficient Solution Process for Implicit Runge–Kutta MethodsTheodore A. Bickart14 July 2006 | SIAM Journal on Numerical Analysis, Vol. 14, No. 6AbstractPDF (573 KB)Optimal approximation of high-order systems subject to polynomial inputs16 May 2007 | International Journal of Control, Vol. 26, No. 6 Cross Ref Direct solution method forA_{1}E +EA_{2}=-DIEEE Transactions on Automatic Control, Vol. 22, No. 3 Cross Ref The solution of the matrix equation XC – BX = D as an eigenvalue problemInternational Journal of Systems Science, Vol. 8, No. 4 Cross Ref Magnetic field modulation of geminate recombination of radical ions in a polar solventChemical Physics, Vol. 17, No. 2 Cross Ref Annotated Bibliography on Generalized Inverses and Applications Cross Ref On the decomposition of state spaceIEEE Transactions on Automatic Control, Vol. 20, No. 2 Cross Ref $AX - XB = C$, Resultants and Generalized InversesRobert E. Hartwig12 July 2006 | SIAM Journal on Applied Mathematics, Vol. 28, No. 1AbstractPDF (1879 KB)Explicit solutions of the matrix equationAX−XB=CRendiconti del Circolo Matematico di Palermo, Vol. 23, No. 2-3 Cross Ref The Matrix Equation $AX + XB = C$Vladimír Kučera12 July 2006 | SIAM Journal on Applied Mathematics, Vol. 26, No. 1AbstractPDF (755 KB)High order stiffly stable composite multistep methods for numerical integration of stiff differential equationsBIT, Vol. 13, No. 3 Cross Ref A Solution of the Bilinear Matrix Equation $AY + YB = - Q$G. Kreisselmeier12 July 2006 | SIAM Journal on Applied Mathematics, Vol. 23, No. 3AbstractPDF (406 KB)Resultants and the Solution of $AX - XB = - C$Robert E. Hartwig12 July 2006 | SIAM Journal on Applied Mathematics, Vol. 23, No. 1AbstractPDF (908 KB)A survey of some recent results in linear multivariable feedback theoryAutomatica, Vol. 8, No. 4 Cross Ref Numerical solution of ATS + SA + Q = 0Information Sciences, Vol. 4, No. 1 Cross Ref A computational method for parameter optimization problems arising in control†25 June 2007 | International Journal of Control, Vol. 14, No. 2 Cross Ref A direct approach to the design of asymptotically optimal control lers†22 October 2007 | International Journal of Control, Vol. 13, No. 6 Cross Ref Stability Cross Ref Explicit Solutions of Linear Matrix EquationsPeter Lancaster18 July 2006 | SIAM Review, Vol. 12, No. 4AbstractPDF (1752 KB)On a method of Porter in the eigenvalue assignment problem†International Journal of Control, Vol. 12, No. 3 Cross Ref Solution of the Matrix Equations $AX + XB = - Q$ and $S^T X + XS = - Q$P. Chr. Müller1 August 2006 | SIAM Journal on Applied Mathematics, Vol. 18, No. 3AbstractPDF (362 KB)On Nonnegative Solutions of the Equation $AD + DA' = - C$J. Snyders and M. Zakai1 August 2006 | SIAM Journal on Applied Mathematics, Vol. 18, No. 3AbstractPDF (997 KB)Comparison of four numerical algorithms for solving the Liapunov matrix equation†International Journal of Control, Vol. 11, No. 2 Cross Ref Exact noise analysis of 'ideal' SC networks Cross Ref Volume 16, Issue 5| 1968SIAM Journal on Applied Mathematics History Submitted:07 March 1968Published online:28 July 2006 InformationCopyright © 1968 © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0116083Article page range:pp. 1020-1023ISSN (print):0036-1399ISSN (online):1095-712XPublisher:Society for Industrial and Applied Mathematics" @default.
- W2089700394 created "2016-06-24" @default.
- W2089700394 creator A5066756438 @default.
- W2089700394 date "1968-09-01" @default.
- W2089700394 modified "2023-09-27" @default.
- W2089700394 title "Solution of the Equation $AX + XB = C$ by Inversion of an $M times M$ or $N times N$ Matrix" @default.
- W2089700394 cites W1965037262 @default.
- W2089700394 cites W2075013169 @default.
- W2089700394 cites W2144393345 @default.
- W2089700394 doi "https://doi.org/10.1137/0116083" @default.
- W2089700394 hasPublicationYear "1968" @default.
- W2089700394 type Work @default.
- W2089700394 sameAs 2089700394 @default.
- W2089700394 citedByCount "131" @default.
- W2089700394 countsByYear W20897003942012 @default.
- W2089700394 countsByYear W20897003942013 @default.
- W2089700394 countsByYear W20897003942014 @default.
- W2089700394 countsByYear W20897003942016 @default.
- W2089700394 countsByYear W20897003942017 @default.
- W2089700394 countsByYear W20897003942018 @default.
- W2089700394 countsByYear W20897003942019 @default.
- W2089700394 countsByYear W20897003942020 @default.
- W2089700394 countsByYear W20897003942021 @default.
- W2089700394 countsByYear W20897003942022 @default.
- W2089700394 crossrefType "journal-article" @default.
- W2089700394 hasAuthorship W2089700394A5066756438 @default.
- W2089700394 hasConcept C106487976 @default.
- W2089700394 hasConcept C109007969 @default.
- W2089700394 hasConcept C121332964 @default.
- W2089700394 hasConcept C127313418 @default.
- W2089700394 hasConcept C134306372 @default.
- W2089700394 hasConcept C151730666 @default.
- W2089700394 hasConcept C159985019 @default.
- W2089700394 hasConcept C1893757 @default.
- W2089700394 hasConcept C192562407 @default.
- W2089700394 hasConcept C33923547 @default.
- W2089700394 hasConceptScore W2089700394C106487976 @default.
- W2089700394 hasConceptScore W2089700394C109007969 @default.
- W2089700394 hasConceptScore W2089700394C121332964 @default.
- W2089700394 hasConceptScore W2089700394C127313418 @default.
- W2089700394 hasConceptScore W2089700394C134306372 @default.
- W2089700394 hasConceptScore W2089700394C151730666 @default.
- W2089700394 hasConceptScore W2089700394C159985019 @default.
- W2089700394 hasConceptScore W2089700394C1893757 @default.
- W2089700394 hasConceptScore W2089700394C192562407 @default.
- W2089700394 hasConceptScore W2089700394C33923547 @default.
- W2089700394 hasIssue "5" @default.
- W2089700394 hasLocation W20897003941 @default.
- W2089700394 hasOpenAccess W2089700394 @default.
- W2089700394 hasPrimaryLocation W20897003941 @default.
- W2089700394 hasRelatedWork W2050770628 @default.
- W2089700394 hasRelatedWork W2052109794 @default.
- W2089700394 hasRelatedWork W2141704600 @default.
- W2089700394 hasRelatedWork W2347039194 @default.
- W2089700394 hasRelatedWork W2401850100 @default.
- W2089700394 hasRelatedWork W2953754434 @default.
- W2089700394 hasRelatedWork W3117324600 @default.
- W2089700394 hasRelatedWork W3157737782 @default.
- W2089700394 hasRelatedWork W3161443230 @default.
- W2089700394 hasRelatedWork W4210327724 @default.
- W2089700394 hasVolume "16" @default.
- W2089700394 isParatext "false" @default.
- W2089700394 isRetracted "false" @default.
- W2089700394 magId "2089700394" @default.
- W2089700394 workType "article" @default.