Results 31 to 40 of about 1,121,911 (166)
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 Schur transform of a generalized Schur function and operator realizations [PDF]
, 2005 Het proefschrift van Gerald Wanjala bouwt voort op werk van de wiskundige Issai Schur uit het begin van de vorige eeuw. Destijds vormde dit het beginpunt van een nieuw onderdeel in de wiskunde: de Schur-analyse.
Wanjala, Gerald, +3 more
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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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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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Positivity properties for q-Schur algebras. [PDF]
, 1997 We prove Du's positivity conjecture for the canonical basis of the q-Schur algebra, using elementary arguments and the positivity result for Lusztig's canonical basis for U+q(sln).
Green, R. M.
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Computational methods for Cahn-Hilliard variational inequalities [PDF]
, 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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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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Some Results on the Drazin Inverse of a Modified Matrix with New Conditions
International Journal of Analysis and Applications, 2014 In this article, we consider representations of the Drazin inverse of a modified matrix M = A−CDdB with the generalized Schur complement Z = D − BAdC under different conditions given in recent articles on the subject.
Abdul Shakoor, Hu Yang, Ilyas Ali
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