On a transformation of the ∗-congruence Sylvester equation for the least squares optimization
From MaRDI portal
Publication:5858989
DOI10.1080/10556788.2020.1734004zbMath1475.15017OpenAlexW3010241376MaRDI QIDQ5858989
Shao-Liang Zhang, Tomoya Kemmochi, Yuki Satake, Tomohiro Sogabe
Publication date: 15 April 2021
Published in: Optimization Methods and Software (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10556788.2020.1734004
Related Items
Cites Work
- Unnamed Item
- Iterative algorithms for \(X+A^{\mathrm T}X^{-1}A=I\) by using the hierarchical identification principle
- On the Kronecker products and their applications
- A property of the eigenvalues of the symmetric positive definite matrix and the iterative algorithm for coupled Sylvester matrix equations
- On the \(\star\)-Sylvester equation \(AX\pm X^{\star} B^{\star} = C\)
- Gradient based and least squares based iterative algorithms for matrix equations \(AXB + CX^{T}D = F\)
- An efficient algorithm for solving extended Sylvester-conjugate transpose matrix equations
- Iterative solutions to matrix equations of the form \(A_{i}XB_{i}=F_{i}\)
- Uniqueness of solution of a generalized \(\star\)-Sylvester matrix equation
- Gradient based iterative solutions for general linear matrix equations
- Implicit QR algorithms for palindromic and even eigenvalue problems
- On a relationship between the \(\operatorname{T}\)-congruence Sylvester equation and the Lyapunov equation
- Solvability and uniqueness criteria for generalized Sylvester-type equations
- Relation between the T-congruence Sylvester equation and the generalized Sylvester equation
- A preconditioned nested splitting conjugate gradient iterative method for the large sparse generalized Sylvester equation
- Iterative method to solve the generalized coupled Sylvester-transpose linear matrix equations over reflexive or anti-reflexive matrix
- Symmetric least squares solution of a class of Sylvester matrix equations via MINIRES algorithm
- New proof of the gradient-based iterative algorithm for a complex conjugate and transpose matrix equation
- Iterative solutions of the generalized Sylvester matrix equations by using the hierarchical identification principle
- Iterative least-squares solutions of coupled sylvester matrix equations
- On Iterative Solutions of General Coupled Matrix Equations
- Structured Condition Numbers for Invariant Subspaces
- The Alternating Direction Methods for Solving the Sylvester-Type Matrix Equation<br> <em>AXb + CX<sup>⊤</sup>D = E<sup>*</sup></em>
- The innovation algorithms for multivariable state‐space models
- Gradient based iterative algorithms for solving a class of matrix equations
