Least Squares Solution of BXAT=T over Symmetric, Skew-Symmetric, and Positive Semidefinite X
From MaRDI portal
Publication:4443839
DOI10.1137/S0895479802402491zbMath1050.65037OpenAlexW2052383974MaRDI QIDQ4443839
Xi-Yan Hu, Lei Zhang, Yuan-Bei Deng
Publication date: 19 January 2004
Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/s0895479802402491
algorithmsingular value decompositionleast squares problemmatrix equationProcrustes problemsQSVD factorization
Numerical solutions to overdetermined systems, pseudoinverses (65F20) Matrix equations and identities (15A24) Interval and finite arithmetic (65G30)
Related Items (12)
Solving linearly constrained matrix least squares problem by LSQR ⋮ On Symmetric and Skew-Symmetric Solutions to a Procrustes Problem ⋮ Matrix iterative solutions to the least squares problem of \(BXA^{T} = F\) with some linear constraints ⋮ The least squares problem of the matrix equation \(A_1X_1B^T_1+A_2X_2B^T_2=T\) ⋮ A semi-analytical approach for the positive semidefinite Procrustes problem ⋮ Port-Hamiltonian Dynamic Mode Decomposition ⋮ The common bisymmetric nonnegative definite solutions with extreme ranks and inertias to a pair of matrix equations ⋮ Matrix equation \(AXB=E\) with \(PX=sXP\) constraint ⋮ The Hermitian \(\{P,\mathrm k+1\}\)-(anti-)reflexive solutions of a linear matrix equation ⋮ The Hermitian \(R\)-conjugate generalized Procrustes problem ⋮ On the generalized bi (skew-) symmetric solutions of a linear matrix equation and its procrust problems ⋮ The *congruence class of the solutions of some matrix equations
This page was built for publication: Least Squares Solution of BXAT=T over Symmetric, Skew-Symmetric, and Positive Semidefinite X
