Compact formula for skew-symmetric system of matrix equations (Q6062987)

scientific article; zbMATH DE number 7773293

Language	Label	Description	Also known as
English	Compact formula for skew-symmetric system of matrix equations	scientific article; zbMATH DE number 7773293

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instance of

scholarly article

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title

Compact formula for skew-symmetric system of matrix equations (English)

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Arabian Journal of Mathematics

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publication date

2 December 2023

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zbMATH Keywords

skew-Hermitian solution

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generalized Sylvester matrix equations

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s40065-023-00439-8

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cites work

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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Generalized inverses over integral domains

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Q2724471

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The \(\eta\)-(anti-)Hermitian solution to a constrained Sylvester-type generalized commutative quaternion matrix equation

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

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A Pair of Mixed Generalized Sylvester Matrix Equations

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Recursive blocked algorithms for solving triangular systems—Part II

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Analogs of the adjoint matrix for generalized inverses and corresponding Cramer rules

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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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Analogs of Cramer's rule for the minimum norm least squares solutions of some matrix equations

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Determinantal representations of solutions and Hermitian solutions to some system of two-sided quaternion matrix equations

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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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Simultaneous solutions of matrix equations and simultaneous equivalence of matrices

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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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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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Optimization of a nonlinear Hermitian matrix expression with application

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Solving and algorithm to system of quaternion Sylvester-type matrix equations with \(\ast\)-Hermicity

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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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Explicit formulas and determinantal representation for η-skew-Hermitian solution to a system of quaternion matrix equations

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

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Q4356762

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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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Solvability conditions and general solution for mixed Sylvester equations

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Ranks and the least-norm of the general solution to a system of quaternion matrix equations

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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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A system of Sylvester-type quaternion matrix equations with ten variables

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The consistency and the general common solution to some quaternion matrix equations

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A constrained system of matrix equations

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Identifiers

zbMATH Open document ID

1528.15015

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DOI

10.1007/s40065-023-00439-8

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6062987