نتایج جستجو برای: generalized sylvester matrix equations

تعداد نتایج: 729242  

Journal: :Computers & Mathematics with Applications 2010

Journal: :Arabian Journal of Mathematics 2023

Abstract In this paper, we consider skew-Hermitian solution of coupled generalized Sylvester matrix equations encompassing $$*$$ ∗ -hermicity over complex field. The compact formula the general system is presented in terms inverses when some necessary and sufficient conditi...

Journal: :Linear Algebra and its Applications 2016

2004
Robert A. Granat Bo Kågström

Recent ScaLAPACK-style implementations of the BartelsStewart method and the iterative matrix-sign-function-based method for solving continuous-time Sylvester matrix equations are evaluated with respect to generality of use, execution time and accuracy of computed results. The test problems include well-conditioned as well as illconditioned Sylvester equations. A method is considered more genera...

Journal: :SIAM Journal on Matrix Analysis and Applications 2015

Journal: :Numerische Mathematik 2012
Jungong Xue Shufang Xu Ren-Cang Li

This paper is concerned with a relative perturbation theory and its entrywise relatively accurate numerical solutions of an M -matrix Sylvester equation AX + XB = C by which we mean both A and B have positive diagonal entries and nonpositive off-diagonal entries and P = Im⊗A+B⊗ In is a nonsingular M -matrix, and C is entrywise nonnegative. It is proved that small relative perturbations to the e...

2008
B. Larroque

Abstract: A new design procedure of a reduced order unknown input observer (UIO) is proposed to generate residuals for fault detection isolation (FDI). The originality of this work consists in the adopted approach for the procedure implementation. Indeed the kernel of the actuator fault distribution matrix is generated thanks to generalized inverses. The Kronecker product is used to solve a Syl...

Journal: :Automatica 2011
Amir Shahzad Bryn Ll. Jones Eric C. Kerrigan George A. Constantinides

Descriptor systems consisting of a large number of differential-algebraic equations (DAEs) usually arise from the discretization of partial differential-algebraic equations. This paper presents an efficient algorithm for solving the coupled Sylvester equation that arises in converting a system of linear DAEs to ordinary differential equations. A significant computational advantage is obtained b...

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