Results 11 to 20 of about 12,740 (173)
Perturbation Bound of the Group Inverse and the Generalized Schur Complement in Banach Algebra [PDF]
Abstract and Applied Analysis, 2012 We investigate the relative perturbation bound of the group inverse and also consider the perturbation bound of the generalized Schur complement in a Banach algebra.
Xiaoji Liu, Yonghui Qin, Hui Wei
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Idempotent operator and its applications in Schur complements on Hilbert C*-module
Special Matrices, 2023 The present study proves that TT is an idempotent operator if and only if R(I−T∗)⊕R(T)=X{\mathcal{ {\mathcal R} }}\left(I-{T}^{\ast })\oplus {\mathcal{ {\mathcal R} }}\left(T)={\mathcal{X}} and (T∗T)†=(T†)2T{\left({T}^{\ast }T)}^{\dagger }={\left({T ...
Karizaki Mehdi Mohammadzadeh +1 more
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Schur Complement-Based Infinity Norm Bounds for the Inverse of GDSDD Matrices
Mathematics, 2022 Based on the Schur complement, some upper bounds for the infinity norm of the inverse of generalized doubly strictly diagonally dominant matrices are obtained. In addition, it is shown that the new bound improves the previous bounds.
Yating Li, Yaqiang Wang
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Results on Resistance Distance and Kirchhoff Index of Graphs With Generalized Pockets
Frontiers in Physics, 2022 F, Hv are considered simple connected graphs on n and m + 1 vertices, and v is a specified vertex of Hv and u1, u2, … uk ∈ F. The graph G = G[F, u1, … , uk, Hv] is called a graph with k pockets, obtained by taking one copy of F and k copies of Hv and ...
Qun Liu, Jiaqi Li
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Schur complement of general H‐matrices [PDF]
Numerical Linear Algebra with Applications, 2009 AbstractIt is well known that the Schur complement of some H‐matrices is an H‐matrix. In this paper, the Schur complement of any general H‐matrix is studied. In particular, it is proved that the Schur complement, if it exists, is an H‐matrix and the class to which the Schur complement belongs is studied.
Bru, R. +3 more
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Operators on anti-dual pairs: Generalized Schur complement
Linear Algebra and its Applications, 2021 15 ...
Zsigmond Tarcsay, Tamás Titkos
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Hypo-EP Matrices of Adjointable Operators on Hilbert C∗-Modules
Complexity, 2021 This paper introduces and studies hypo-EP matrices of adjointable operators on Hilbert C∗-modules, based on the generalized Schur complement. The necessary and sufficient conditions for some modular operator matrices to be hypo-EP are given, and some ...
Xiaopeng Li +2 more
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International Journal of Robust and Nonlinear Control, EarlyView., 2023 Abstract We propose a hierarchical energy management scheme for aggregating Distributed Energy Resources (DERs) for grid flexibility services. To prevent a direct participation of numerous prosumers in the wholesale electricity market, aggregators, as self‐interest agents in our scheme, incentivize prosumers to provide flexibility. We firstly model the
Xiupeng Chen +3 more
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A Finite Element-Based Characteristic Mode Analysis
IEEE Open Journal of Antennas and Propagation, 2022 A novel Green’s function-free characteristic modes formulation is introduced in this work. The desired impedance or admittance matrix is obtained utilizing and appropriately modifying the versatile finite element method.
Konstantinos D. Paschaloudis +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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