The constrained solutions of two matrix equations
From MaRDI portal
Publication:1565983
DOI10.1007/s10114-002-0204-8zbMath1028.15011OpenAlexW2073632201MaRDI QIDQ1565983
Publication date: 18 January 2004
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-002-0204-8
matrix equationgeneralized singular value decompositionsymmetric positive semidefinite matrixbisymmetric positive semidefinite matrix
Related Items (33)
Application of the alternating direction method for an inverse monic quadratic eigenvalue problem ⋮ A simultaneous decomposition of a matrix triplet with applications ⋮ The least squares anti-bisymmetric solution and the optimal approximation solution for Sylvester equation ⋮ A real quaternion matrix equation with applications ⋮ Extremal ranks of submatrices in an Hermitian solution to the matrix equation \(AXA^{*}=B\) with applications ⋮ Theη-bihermitian solution to a system of real quaternion matrix equations ⋮ Positive fixed points for a class of nonlinear operators and applications ⋮ Solution to a system of real quaternion matrix equations encompassing \(\eta\)-Hermicity ⋮ A system of matrix equations and its applications ⋮ Bifurcations of limit circles and center conditions for a class of non-analytic cubic \(Z_2\) polynomial differential systems ⋮ Submatrix constrained least-squares inverse problem for symmetric matrices from the design of vibrating structures ⋮ The common bisymmetric nonnegative definite solutions with extreme ranks and inertias to a pair of matrix equations ⋮ Alternating direction methods for solving a class of Sylvester-like matrix equations ⋮ On the Centro-symmetric Solution of a System of Matrix Equations over a Regular Ring with Identity ⋮ Center and isochronous center problems for quasi analytic systems ⋮ Characterization for the general solution to a system of matrix equations with quadruple variables ⋮ Optimization of a nonlinear Hermitian matrix expression with application ⋮ The matrix pencil nearness problem in structural dynamic model updating ⋮ The matrix nearness problem associated with the quaternion matrix equation \(AXA^H+BYB^H=C\) ⋮ Analytical best approximate Hermitian and generalized skew-Hamiltonian solution of matrix equation \(AXA^{\mathrm{H}}+CYC^{\mathrm{H}}=F\) ⋮ General Solutions for a Class of Inverse Quadratic Eigenvalue Problems ⋮ A note on the iterative solutions of general coupled matrix equation ⋮ New matrix iterative methods for constraint solutions of the matrix equation \(AXB=C\) ⋮ On the generalized bi (skew-) symmetric solutions of a linear matrix equation and its procrust problems ⋮ Thompson metric method for solving a class of nonlinear matrix equation ⋮ The common positive solution to adjointable operator equations with an application ⋮ Perturbation analysis for the matrix least squares problem \(A X B = C\) ⋮ Ranks of submatrices in (skew-)Hermitian solutions to a quaternion matrix equation ⋮ Special least squares solutions of the reduced biquaternion matrix equation \(AX=B\) with applications ⋮ Least-squares solution with the minimum-norm for the matrix equation \(A^T XB + B^T X^T A = D\) and its applications ⋮ The symmetric solution of the matrix equation \(AXB=D\) on subspace ⋮ DERIVATION OF ISOCHRONICITY CONDITIONS FOR QUASI-CUBIC HOMOGENEOUS ANALYTIC SYSTEMS ⋮ Explicit formulas and determinantal representation for η-skew-Hermitian solution to a system of quaternion matrix equations
Cites Work
- The symmetric solution of the matrix equations \(AX+YA=C, AXA^ t+BYB^ t=C\), and \((A^ tXA, B^ tXB)=(C,D)\)
- On solutions of matrix equation \(AXB+CYD=F\)
- Perturbation analysis of the canonical correlations of matrix pairs
- Linear matrix equations from an inverse problem of vibration theory
- Towards a Generalized Singular Value Decomposition
- Conditions for Positive and Nonnegative Definiteness in Terms of Pseudoinverses
- Unnamed Item
- Unnamed Item
This page was built for publication: The constrained solutions of two matrix equations
