The reflexive least squares solutions of the general coupled matrix equations with a submatrix constraint (Q275767)

scientific article; zbMATH DE number 6573848

Language	Label	Description	Also known as
English	The reflexive least squares solutions of the general coupled matrix equations with a submatrix constraint	scientific article; zbMATH DE number 6573848

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instance of

scholarly article

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title

The reflexive least squares solutions of the general coupled matrix equations with a submatrix constraint (English)

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Applied Mathematics and Computation

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publication date

26 April 2016

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zbMATH Keywords

general coupled matrix equations

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central principal submatrix

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reflexive solutions

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submatrix constraint

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least squares solution

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.amc.2013.09.062

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cites work

Singular value and generalized singular value decompositions and the solution of linear matrix equations

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The symmetric solution of the matrix equations \(AX+YA=C, AXA^ t+BYB^ t=C\), and \((A^ tXA, B^ tXB)=(C,D)\)

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Consistency for bi(skew)symmetric solutions to systems of generalized Sylvester equations over a finite central algebra

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Bisymmetric and centrosymmetric solutions to systems of real quaternion matrix equations

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The general solution to a system of real quaternion matrix 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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The reflexive and anti-reflexive solutions of a linear matrix equation and systems of matrix equations

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The \((R, S)\)-symmetric and \((R, S)\)-skew symmetric solutions of the pair of matrix equations \({A}_1 {XB}_1 = C_1\) and \(A_2 {XB}_2 = C_2\)

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Efficient computation of enclosures for the exact solvents of a quadratic matrix equation

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The generalized centro-symmetric and least squares generalized centro-symmetric solutions of the matrix equation AYB + CYTD = E

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On the generalized bisymmetric and skew-symmetric solutions of the system of generalized Sylvester matrix equations

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Analysis of an iterative algorithm to solve the generalized coupled Sylvester matrix equations

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Two algorithms for finding the Hermitian reflexive and skew-Hermitian solutions of Sylvester matrix equations

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The generalised Sylvester matrix equations over the generalised bisymmetric and skew-symmetric matrices

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Weighted least squares solutions to general coupled Sylvester matrix equations

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On the generalized Sylvester mapping and matrix equations

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Gradient based and least squares based iterative algorithms for matrix equations \(AXB + CX^{T}D = F\)

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Parameter estimation methods for nonlinear systems

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Parameter identification of systems with preload nonlinearities based on the finite impulse response model and negative gradient search

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Iterative solutions to matrix equations of the form \(A_{i}XB_{i}=F_{i}\)

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Gradient based iterative solutions for general linear matrix equations

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Hierarchical multi-innovation stochastic gradient algorithm for Hammerstein nonlinear system modeling

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

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Gradient based iterative algorithms for solving a class of matrix equations

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Iterative least-squares solutions of coupled sylvester matrix equations

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Hierarchical gradient-based identification of multivariable discrete-time systems

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Hierarchical least squares identification methods for multivariable systems

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On Iterative Solutions of General Coupled Matrix Equations

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Least-squares solutions of matrix inverse problem for bi-symmetric matrices with a submatrix constraint

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Generalized Reflexive Matrices: Special Properties and Applications

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The Inverse Eigenproblem of Centrosymmetric Matrices with a Submatrix Constraint and Its Approximation

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Construction of real antisymmetric and bi-antisymmetric matrices with prescribed spectrum data

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On the determination of a tridiagonal matrix from its spectrum and a submatrix

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The expansion problem of anti-symmetric matrix under a linear constraint and the optimal approximation

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Least squares solutions to \(AX = B\) for bisymmetric matrices under a central principal submatrix constraint and the optimal approximation

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Q4841246

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Identifiers

zbMATH Open document ID

1336.65074

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Mathematics Subject Classification ID

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10.1016/J.AMC.2013.09.062

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Sitelinks

Mathematics(1 entry)

mardi Publication:275767