Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
The Matrix Equation $X+A^TX^{-1}A=Q$ and Its Application in Nano Research - MaRDI portal

The Matrix Equation $X+A^TX^{-1}A=Q$ and Its Application in Nano Research

From MaRDI portal
Publication:3006150

DOI10.1137/090758209zbMath1227.65038OpenAlexW1983470242MaRDI QIDQ3006150

Wen-Wei Lin, Chun-Hua Guo

Publication date: 10 June 2011

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/090758209



Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).


Related Items (19)

Structure-Preserving Flows of Symplectic Matrix PairsSome iterative methods for the largest positive definite solution to a class of nonlinear matrix equationSolving large-scale nonlinear matrix equations by doublingThe inversion-free iterative methods for a system of nonlinear matrix equationsIterative and doubling algorithms for Riccati‐type matrix equations: A comparative introductionComputing the full spectrum of large sparse palindromic quadratic eigenvalue problems arising from surface Green's function calculationsNumerical solution of nonlinear matrix equations arising from Green's function calculations in nano researchSolvability for a nonlinear matrix equationThe structure-preserving doubling algorithms for positive definite solution to a system of nonlinear matrix equationsTwo structure-preserving-doubling like algorithms for obtaining the positive definite solution to a class of nonlinear matrix equationComplex symmetric stabilizing solution of the matrix equation \(X+A^{\top}X^{-1}A=Q\)The investigation on two kinds of nonlinear matrix equationsDecoupled low-rank iterative methods for a large-scale system of nonlinear matrix equations arising from electron transport of nano materialsSolving two generalized nonlinear matrix equationsAn iterative method to solve a nonlinear matrix equationNewton's iterative method to solve a nonlinear matrix equationThe inversion-free iterative methods for solving the nonlinear matrix equation \(X + A^H X^{- 1} A + B^H X^{- 1} B = I\)SOME ITERATIVE ALGORITHMS FOR POSITIVE DEFINITE SOLUTION TO NONLINEAR MATRIX EQUATIONSOn the tripling algorithm for large-scale nonlinear matrix equations with low rank structure




This page was built for publication: The Matrix Equation $X+A^TX^{-1}A=Q$ and Its Application in Nano Research