Results 21 to 30 of about 12,743 (154)
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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Some inequalities on generalized Schur complements
Linear Algebra and its Applications, 1999 Let \(A=[A_{ij}]\) denote a block matrix of order two with square diagonal blocks. The generalized Schur complement \(S_1(A)\) of \(A_{11}\) is defined by \(S_1(A)=A_{22} -A_{21}A^+_{11} A_{12}\) where \(A^+_{11}\) denotes the Moore-Penrose pseudoinverse of \(A_{11}\) so that \(S_1(A)\) is defined also for singular matrices. For a Hermitian matrix \(A\)
Wang, Bo-Ying +2 more
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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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Physical properties of the Schur complement of local covariance matrices [PDF]
, 2007 General properties of global covariance matrices representing bipartite Gaussian states can be decomposed into properties of local covariance matrices and their Schur complements. We demonstrate that given a bipartite Gaussian state $\rho_{12}$ described
Eisert J Wolf M M +7 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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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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A preconditioner for the Schur complement matrix [PDF]
, 2006 A preconditioner for iterative solution of the interface problem in Schur Complement Domain Decomposition Methods is presented. This preconditioner is based on solving a global problem in a narrow strip around the interface.
Dalcin, Lisandro Daniel +5 more
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Linear Algebra and its Applications, 1979 AbstractLet A be an n×n complex matrix. For a suitable subspace M of Cn the Schur compression A M and the (generalized) Schur complement A/M are defined. If A is written in the form A= BCST according to the decomposition Cn=M⊕M⊥ and if B is invertible, then AM=BCSSB−1C and A/M=000T−SB−1C· The commutativity rule for Schur complements is proved: (A/M)/N=(
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, 2020 For both isothermal and thermal petroleum reservoir simulation, the Constrained Pressure Residual (CPR) method is the industry-standard preconditioner. This method is a two-stage process involving the solution of a restricted pressure system.
Jönsthövel, Tom B +3 more
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