Results 11 to 20 of about 1,444 (195)
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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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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Non-Overlapping Domain Decomposition via BURA Preconditioning of the Schur Complement
Mathematics, 2022 A new class of high-performance preconditioned iterative solution methods for large-scale finite element method (FEM) elliptic systems is proposed and analyzed.
Nikola Kosturski +2 more
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The Pauli Problem for Gaussian Quantum States: Geometric Interpretation
Mathematics, 2021 We solve the Pauli tomography problem for Gaussian signals using the notion of Schur complement. We relate our results and method to a notion from convex geometry, polar duality.
Maurice A. de Gosson
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Open Mathematics, 2015 The theory of Schur complement plays an important role in many fields, such as matrix theory and control theory. In this paper, applying the properties of Schur complement, some new estimates of diagonally dominant degree on the Schur complement of I(II)-
Wang Feng, Sun Deshu
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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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Complementary Schur complements
Linear Algebra and its Applications, 1994 Let \(M\) and \(N\) be \(m\times m\) and \(n\times n\) complex matrices, respectively. The authors define \(M\) and \(N\) to be ``Schur coupled'' if there exist matrices \(A,B,C\) and \(D\) such that \(M=D-CA^{-1}B\) and \(N=A- BD^{-1}C\). The main result of this paper is that the following are equivalent: (i) \(M\) and \(N\) are Schur coupled; (ii ...
Bart, Harm, Tsekanovskii, VE
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A Matching-Strategy-Inspired Preconditioning for Elliptic Optimal Control Problems
Mathematics, 2023 In this paper, a new preconditioning method is proposed for the linear system arising from the elliptic optimal control problem. It is based on row permutations of the linear system and approximations of the corresponding Schur complement inspired by the
Chaojie Wang, Jie Chen, Shuen Sun
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Schur complements and Banachiewicz-Schur forms
The Electronic Journal of Linear Algebra, 2005 Through the matrix rank method, this paper gives necessary and sufficient conditions for a partitioned matrix to have generalized inverses with Banachiewicz-Schur forms. In addition, this paper investigates the idempotency of generalized Schur complements in a partitioned idempotent matrix.
Yongge Tian, Yoshio Takane
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The Diagonally Dominant Degree and Disc Separation for the Schur Complement of Ostrowski Matrix
Journal of Applied Mathematics, 2013 By applying the properties of Schur complement and some inequality techniques, some new estimates of diagonally and doubly diagonally dominant degree of the Schur complement of Ostrowski matrix are obtained, which improve the main results of Liu and ...
Jianxing Zhao, Feng Wang, Yaotang Li
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