Hermitian solution to constraint system of generalized Sylvester quaternion matrix equations (Q6665982)

scientific article; zbMATH DE number 7969977

Language	Label	Description	Also known as
English	Hermitian solution to constraint system of generalized Sylvester quaternion matrix equations	scientific article; zbMATH DE number 7969977

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instance of

scholarly article

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title

Hermitian solution to constraint system of generalized Sylvester quaternion matrix equations (English)

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Arabian Journal of Mathematics

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publication date

17 January 2025

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zbMATH Keywords

Sylvester quaternion matrix equations

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quaternion Moore-Penrose inverse

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On Hermitian and Skew-Hermitian Splitting Ietration Methods for the Continuous Sylvester Equations

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The matrix equation $AX-YB=C$

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Krylov subspace methods for the generalized Sylvester equation

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Q2724471

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Regularization of Singular Systems by Derivative and Proportional Output Feedback

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On the computation of the restricted singular value decomposition via the cosine-sine decomposition

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Inertia and Rank Characterizations of Some Matrix Expressions

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Solution to sylvester equation associated to linear descriptor systems

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Q4664929

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Mixed, componentwise condition numbers and small sample statistical condition estimation of Sylvester equations

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Effective condition numbers and small sample statistical condition estimation for the generalized Sylvester equation

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The common positive solution to adjointable operator equations with an application

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On the Hermitian solutions to a system of adjointable operator equations

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Developing CGNE algorithm for the periodic discrete-time generalized coupled Sylvester matrix equations

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Pure PSVD approach to Sylvester-type quaternion matrix equations

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A system of coupled quaternion matrix equations with seven unknowns and its applications

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The general solution to a system of coupled Sylvester-type quaternion tensor equations involving $\eta$-Hermicity

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Some quaternion matrix equations involving Φ-Hermicity

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Some new results on a system of Sylvester-type quaternion matrix equations

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Solutions to optimization problems on ranks and inertias of a matrix function with applications

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The<i>η</i>-bihermitian solution to a system of real quaternion matrix equations

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A real quaternion matrix equation with applications

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A Pair of Mixed Generalized Sylvester Matrix Equations

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The general solutions to some systems of matrix equations

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A System of Periodic Discrete-time Coupled Sylvester Quaternion Matrix Equations

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Two-sided coupled generalized Sylvester matrix equations solving using a simultaneous decomposition for fifteen matrices

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The general $\phi$-Hermitian solution to mixed pairs of quaternion matrix Sylvester equations

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A simultaneous decomposition for seven matrices with applications

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Recursive blocked algorithms for solving triangular systems—Part II

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Determinantal representations of the Moore–Penrose inverse over the quaternion skew field and corresponding Cramer's rules

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Cramer's rules for Sylvester quaternion matrix equation and its special cases

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Cramer's rules of $\eta $-(skew-)Hermitian solutions to the quaternion Sylvester-type matrix equations

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Determinantal representations of general and (skew-)Hermitian solutions to the generalized Sylvester-type quaternion matrix equation

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Determinantal representations of solutions to systems of two-sided quaternion matrix equations

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Simultaneous solutions of matrix equations and simultaneous equivalence of matrices

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Right eigenvalue equation in quaternionic quantum mechanics

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A Bound on the Solution to a Structured Sylvester Equation with an Application to Relative Perturbation Theory

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The constrained solutions of two matrix equations

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Condition Numbers of the Generalized Sylvester Equation

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A simultaneous decomposition of a matrix triplet with applications

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Q4050723

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Solving a system of two-sided Sylvester-like quaternion tensor equations

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Optimization of a nonlinear Hermitian matrix expression with application

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A system of matrix equations with five variables

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Solution to a system of real quaternion matrix equations encompassing $\eta$-Hermicity

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A constraint system of generalized Sylvester quaternion matrix equations

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The general solution of quaternion matrix equation having $\eta $-skew-Hermicity and its Cramer's rule

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Least-norm of the general solution to some system of quaternion matrix equations and its determinantal representations

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

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Numerical solutions of quaternionic Riccati equations

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Output feedback eigenstructure assignment using two Sylvester equations

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Coupled and constrained Sylvester equations in system design

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Augmented second-order statistics of quaternion random signals

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Solvability conditions and general solution for mixed Sylvester equations

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A system of matrix equations and its applications

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Systems of coupled generalized Sylvester matrix equations

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Common Hermitian solutions to some operator equations on Hilbert $C^{*}$-modules

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Extremal ranks of a quaternion matrix expression subject to consistent systems of quaternion matrix equations with applications

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Constraint generalized Sylvester matrix equations

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Consistency of a pair of generalized Sylvester equations

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Quaternions and matrices of quaternions

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Inertias and ranks of some Hermitian matrix functions with applications

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Identifiers

Mathematics Subject Classification ID

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10.1007/S40065-024-00477-W

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Sitelinks

Mathematics(1 entry)

mardi Publication:6665982