Results 1 to 10 of about 1,177,096 (136)
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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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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Notes on the Schur-convexity of the Extended Mean Values [PDF]
, 2002 In this article, the Schur-convexities of the weighted arithmetic mean of function and the extended mean values are proved. Moreover, some inequalities involving the arithmetic mean, the harmonic mean, the logarithmic mean, and comparison between the ...
Qi, Feng +3 more
core +5 more sources
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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Mendelianization: Concentrating Polygenic Signal Into a Single Causal Locus. [PDF]
Genet EpidemiolABSTRACT Complex disorders such as depression and alcohol use involve numerous genetic variants, and implicated loci continue to grow with sample size. This proliferation hampers interpretability, as the mechanisms by which so many variants jointly contribute to pathophysiology remain unclear.
Strobl EV.
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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
wiley +1 more source
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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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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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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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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