Results 61 to 70 of about 83,251 (167)
Block Preconditioned SSOR Methods for -Matrices Linear Systems
Journal of Applied Mathematics, 2013 We present a block preconditioner and consider block preconditioned SSOR iterative methods for solving linear system . When is an -matrix, the convergence and some comparison results of the spectral radius for our methods are given.
Zhao-Nian Pu, Xue-Zhong Wang
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Accurate Computations with Block Checkerboard Pattern Matrices
MathematicsIn this work, block checkerboard sign pattern matrices are introduced and analyzed. They satisfy the generalized Perron–Frobenius theorem. We study the case related to total positive matrices in order to guarantee bidiagonal decompositions and some ...
Jorge Delgado +2 more
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Spectral Properties of Block Jacobi Matrices [PDF]
Constructive Approximation, 2018 We study the spectral properties of bounded and unbounded Jacobi matrices whose entries are bounded operators on a complex Hilbert space. In particular, we formulate conditions assuring that the spectrum of the studied operators is continuous. Uniform asymptotics of generalised eigenvectors and conditions implying complete indeterminacy are also ...
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Representations for the Drazin inverses of block matrices
MATEC Web of Conferences, 2016 In this paper, we investigate representations of the Drazin inverse of a 2 × 2 block matrix. The Drazin inverse of a matrix is very important in various applied mathematical fields like machinery and automation, singular differential equations. We give a
Guo Li, Wang Jie, Du Wenming
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MATRIX SUBADDITIVITY INEQUALITIES AND BLOCK-MATRICES [PDF]
International Journal of Mathematics, 2009 We give a number of subadditivity results and conjectures for symmetric norms, matrices and block-matrices. Let A, B, Z be matrices of same size and suppose that A, B are normal and Z is expansive, i.e. Z*Z ≥ I. We conjecture that [Formula: see text] for all non-negative concave function f on [0,∞) and all symmetric norms ‖ · ‖ (in particular for all ...
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The expected adjacency and modularity matrices in the degree corrected stochastic block model
Special Matrices, 2018 We provide explicit expressions for the eigenvalues and eigenvectors of matrices that can be written as the Hadamard product of a block partitioned matrix with constant blocks and a rank one matrix.
Fasino Dario, Tudisco Francesco
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Optimally conditioned block matrices
Linear Algebra and its Applications, 2002 The author deals with the problem of characterizing optimally Hermitian positive-definite block matrices \(A=(A_{i,j})^m_{i,j=1} \in\mathbb{C}^{n \times n}\), \(n\geq m\geq 2\), \(A_{i,i}\in \mathbb{C}^{n_i\times n_i}\). Sufficient conditions were described by \textit{F. L. Bauer} [Numer. Math. 5, 73-87 (1963; Zbl 0107.10501)], and the particular cases
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Positive block matrices on Hilbert and Krein C*-modules [PDF]
Surveys in Mathematics and its Applications, 2013 Let H1 and H2 be Hilbert C*-modules. In this paper we give some necessary and sufficient conditions for the positivity of a block matrix on the Hilbert C*-module H1⊕H2.
Mohammad Sal Moslehian +2 more
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Generalized Bezoutians and block Hankel matrices
Linear Algebra and its Applications, 1989 Let W(z) be a rational matrix, \(W(\infty)=0,\) \(W(z)=\sum_{i>0}W_ iz^{-i}.\) Let F(z) be \(p\times p\)-, D(z) \(q\times q\)-, G and U \(p\times q\)-polynomial matrices, F and D nonsingular, and let \(F^{-1}G=UD^{- 1}=W\). The Bézoutian \(B=B(F,G;U,D)\) is the rp\(\times sq\) matrix B whose \(p\times q\) block \(B_{ij}\) is defined by \((F(z)U(y)-G(z ...
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The spectral boundary of block structured random matrices
Journal of Physics: ComplexityEconomic and ecological models can be extremely complex, with a large number of agents/species each featuring multiple interacting dynamical quantities. In an attempt to understand the generic stability properties of such systems, we define and study an ...
Nirbhay Patil +2 more
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