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The disc separation and the eigenvalue distribution of the Schur complement of nonstrictly diagonally dominant matrices [PDF]
Journal of Inequalities and Applications, 2017 The result on the Geršgorin disc separation from the origin for strictly diagonally dominant matrices and their Schur complements in (Liu and Zhang in SIAM J. Matrix Anal. Appl. 27(3):665-674, 2005) is extended to nonstrictly diagonally dominant matrices
Cheng-yi Zhang +3 more
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Image reconstruction of fluorescent molecular tomography based on the tree structured Schur complement decomposition [PDF]
BioMedical Engineering OnLine, 2010 Background The inverse problem of fluorescent molecular tomography (FMT) often involves complex large-scale matrix operations, which may lead to unacceptable computational errors and complexity.
Wang Jiajun, Zou Wei, Feng David
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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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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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Common Solutions to Stein Inequalities
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2023 In this paper for linear discrete time switched systems, the problem of existence of a common solution to Stein inequalities is considered. A sufficient condition for robust Schur stability of a matrix polyope by using Schur complement lemma and a ...
Birgül Aksoy, Şerife Yılmaz
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INFORMATION FILTERING WITH SUBMAPS FOR INERTIAL AIDED VISUAL ODOMETRY [PDF]
ISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2015 This work is concerned with the fusion of inertial measurements (accelerations and angular velocities) with imagery data (feature points extracted in a video stream) in a recursive bundle adjustment framework for indoor position and attitude estimation ...
M. Kleinert, U. Stilla
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Some counterexamples related to sectorial matrices and matrix phases
Examples and Counterexamples, 2021 A sectorial matrix is an n×nmatrix whose numerical range is contained in an open half-plane, and such matrices have many nice properties. In particular, the subset of strictly accretive matrices is a convex cone in the space of n×nmatrices, and results ...
Xin Mao, Li Qiu, Axel Ringh, Dan Wang
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Scalable Block Preconditioners for Linearized Navier-Stokes Equations at High Reynolds Number
Algorithms, 2020 We review a number of preconditioners for the advection-diffusion operator and for the Schur complement matrix, which, in turn, constitute the building blocks for Constraint and Triangular Preconditioners to accelerate the iterative solution of the ...
Filippo Zanetti, Luca Bergamaschi
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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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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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