Results 31 to 40 of about 12,743 (154)
Some Results on the Drazin Inverse of a Modified Matrix with New Conditions
International Journal of Analysis and Applications, 2014 In this article, we consider representations of the Drazin inverse of a modified matrix M = A−CDdB with the generalized Schur complement Z = D − BAdC under different conditions given in recent articles on the subject.
Abdul Shakoor, Hu Yang, Ilyas Ali
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Ranks of a Constrained Hermitian Matrix Expression with Applications
Journal of Applied Mathematics, 2013 We establish the formulas of the maximal and minimal ranks of the quaternion Hermitian matrix expression C4−A4XA4∗ where X is a Hermitian solution to quaternion matrix equations A1X=C1, XB1=C2, and A3XA3*=C3.
Shao-Wen Yu
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Updating constraint preconditioners for KKT systems in quadratic programming via low-rank corrections [PDF]
, 2015 This work focuses on the iterative solution of sequences of KKT linear systems arising in interior point methods applied to large convex quadratic programming problems.
Bellavia, S. +3 more
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A Schur complement approach to a general extrapolation algorithm
Linear Algebra and its Applications, 2003 The authors use Schur complements and their properties to obtain various interpretations of the E-transformation. It is proved that ratios of determinants similar to those appearing in the E-transformation can be recursively computed by a triangular recursive scheme and that, reciprocally, quantities computed by such a scheme can be expressed as a ...
BREZINSKI C, REDIVO ZAGLIA, MICHELA
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A note on the formulas for the Drazin inverse of the sum of two matrices
Open Mathematics, 2019 In this paper we derive the formula of (P + Q)D under the conditions Q(P + Q)P(P + Q) = 0, P(P + Q)P(P + Q) = 0 and QPQ2 = 0. Then, a corollary is given which satisfies the conditions (P + Q)P(P + Q) = 0 and QPQ2 = 0. Meanwhile, we show that the additive
Liu Xin, Yang Xiaoying, Wang Yaqiang
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LMI Properties and Applications in Systems, Stability, and Control Theory
, 2021 Linear matrix inequalities (LMIs) commonly appear in systems, stability, and control applications. Many analysis and synthesis problems in these areas can be solved as feasibility or optimization problems subject to LMI constraints.
Caverly, Ryan James +1 more
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Convergence on Gauss-Seidel iterative methods for linear systems with general H-matrices
, 2014 It is well known that as a famous type of iterative methods in numerical linear algebra, Gauss-Seidel iterative methods are convergent for linear systems with strictly or irreducibly diagonally dominant matrices, invertible $H-$matrices (generalized ...
Luo, Shuanghua +3 more
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The Schur complements of generalized doubly diagonally dominant matrices
Linear Algebra and its Applications, 2004 It is known that the Schur complements of diagonally dominant matrices are diagonally dominant, and that the same is true for doubly diagonally dominant matrices. In this paper, the authors extend these results to the generalized doubly diagonally dominant matrices (a proper subset of H-matrices); that is, they show that the Schur complement of a ...
Liu, Jianzhou +2 more
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Parallel Computing, 2022 This paper discusses parGeMSLR, a C++/MPI software library for the solution of sparse systems of linear algebraic equations via preconditioned Krylov subspace methods in distributed-memory computing environments. The preconditioner implemented in parGeMSLR is based on algebraic domain decomposition and partitions the symmetrized adjacency graph ...
Tianshi Xu +5 more
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Fermions as Global Correction: the QCD Case
, 2013 It is widely believed that the fermion determinant cannot be treated in global acceptance-rejection steps of gauge link configurations that differ in a large fraction of the links.
Finkenrath, Jacob +2 more
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