On a transformation of the ∗-congruence Sylvester equation for the least squares optimization (Q5858989)

scientific article; zbMATH DE number 7333671

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English	On a transformation of the ∗-congruence Sylvester equation for the least squares optimization	scientific article; zbMATH DE number 7333671

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instance of

scholarly article

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title

On a transformation of the ∗-congruence Sylvester equation for the least squares optimization (English)

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15 April 2021

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zbMATH Keywords

Sylvester equation

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T-congruence

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1080/10556788.2020.1734004

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cites work

Structured Condition Numbers for Invariant Subspaces

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On the \(\star\)-Sylvester equation \(AX\pm X^{\star} B^{\star} = C\)

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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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On Iterative Solutions of General Coupled Matrix Equations

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

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

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The innovation algorithms for multivariable state‐space models

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Symmetric least squares solution of a class of Sylvester matrix equations via MINIRES algorithm

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A preconditioned nested splitting conjugate gradient iterative method for the large sparse generalized Sylvester equation

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The Alternating Direction Methods for Solving the Sylvester-Type Matrix Equation AXb + CX⊤D = E*

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Implicit QR algorithms for palindromic and even eigenvalue problems

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On a relationship between the \(\operatorname{T}\)-congruence Sylvester equation and the Lyapunov equation

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Relation between the T-congruence Sylvester equation and the generalized Sylvester equation

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An efficient algorithm for solving extended Sylvester-conjugate transpose matrix equations

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Q3165156

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Uniqueness of solution of a generalized \(\star\)-Sylvester matrix equation

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Solvability and uniqueness criteria for generalized Sylvester-type equations

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Gradient based iterative solutions for general linear 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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Iterative method to solve the generalized coupled Sylvester-transpose linear matrix equations over reflexive or anti-reflexive matrix

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On the Kronecker products and their applications

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A property of the eigenvalues of the symmetric positive definite matrix and the iterative algorithm for coupled Sylvester matrix equations

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Iterative algorithms for \(X+A^{\mathrm T}X^{-1}A=I\) by using the hierarchical identification principle

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New proof of the gradient-based iterative algorithm for a complex conjugate and transpose matrix equation

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published in

Optimization Methods \& Software

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Identifiers

zbMATH Open document ID

1475.15017

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DOI

10.1080/10556788.2020.1734004

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5858989