Results 21 to 30 of about 567 (182)
A Power Schur Complement Low-Rank Correction Preconditioner for General Sparse Linear Systems [PDF]
SIAM Journal on Matrix Analysis and Applications, 2021 An effective power based parallel preconditioner is proposed for general large sparse linear systems. The preconditioner combines a power series expansion method with some low-rank correction techniques, where the Sherman-Morrison-Woodbury formula is utilized. A matrix splitting of the Schur complement is proposed to expand the power series. The number
Qingqing Zheng, Yuanzhe Xi, Yousef Saad
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A smooth control allocation method for a distributed electric propulsion VTOL aircraft test platform
IET Control Theory & Applications, 2023 Distributed electronic propulsion (DEP) aircraft with vertical take‐off and landing (VTOL) ability mostly equipped with multiple redundant tiltable propulsors, which are used to provide not only thrusts, but also control torque in all flight mode.
Zijie Qin, Kun Liu, Xi Zhao
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Generalized Schur complements of matrices and compound matrices [PDF]
The Electronic Journal of Linear Algebra, 2010 In this paper, we obtain some formulas for compound matrices of generalized Schur complements of matrices. Further, we give some Lowner partial orders for compound matrices of Schur complements of positive semidefinite Hermitian matrices, and obtain some estimates for eigenvalues of Schur complements of sums of positive semidefinite Hermitian matrices.
Jianzhou Liu, Rong Huang
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The Forward Order Law for Least Squareg-Inverse of Multiple Matrix Products
Mathematics, 2019 The generalized inverse has many important applications in the aspects of the theoretic research of matrices and statistics. One of the core problems of the generalized inverse is finding the necessary and sufficient conditions of the forward order laws ...
Zhiping Xiong, Zhongshan Liu
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, 2021 The radial point interpolation meshfree discretization is a very efficient numerical framework for the analysis of piezoelectricity, in which the fundamental electrostatic equations governing piezoelectric media are solved without mesh generation. Due to
Neytcheva, Maya, +3 more
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Generalized Schur complements and oblique projections
Linear Algebra and its Applications, 2002 Let \(A\in L(\mathcal{H})\) be a positive operator, and \(\varphi\) be a closed subspace of the Hilbert space \(\mathcal{H}\). The shorted operator of \(A\) by \(\varphi\) is defined by \(A_{/\varphi}=\max\{X\in L(\mathcal{H})\;:\;0\leq X\leq A \text{ and } R(X)\subseteq \varphi^{\perp}\} \). A pair \((A,\varphi)\) is called compatible if the set \(\{Q\
Corach, Gustavo +2 more
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IEEE Access, 2019 Let G be a connected graph. The subdivision graph S(G) of a graph (G) is the graph obtained by inserting a new vertex into every edge of G. The set of such new vertices is denoted by I(G).
Qun Liu
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Computational methods for Cahn-Hilliard variational inequalities
, 2012 We consider the non-standard fourth order parabolic Cahn-Hilliard variational inequality with constant as well as non-constant diffusional mobility. We propose a primal-dual active set method as solution technique for the discrete variational inequality ...
Butz, Martin
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Structures preserved by generalized inversion and Schur complementation
Linear Algebra and its Applications, 2010 The authors investigate the inheritance of certain structures under generalized matrix inversion. These consist of rank and displacement structures. The study is done in such a way that the derivation of the preservation of rank structure can be carried over to that of the displacement structure.
Delvaux, Steven, Barel, Marc Van
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Ranks of a Constrained Hermitian Matrix Expression with Applications
Journal of Applied Mathematics, 2013 We establish the formulas of the maximal and minimal ranks of the quaternion Hermitian matrix expression C4−A4XA4∗ where X is a Hermitian solution to quaternion matrix equations A1X=C1, XB1=C2, and A3XA3*=C3.
Shao-Wen Yu
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