Results 21 to 30 of about 83,251 (167)
Block LU factorizations of M-matrices [PDF]
Numerische Mathematik, 1998 It is well known that any nonsingular M-matrix admits an LU factorization into M-matrices (with L and U lower and upper triangular respectively) and any singular M-matrix is permutation similar to an M-matrix which admits an LU factorization into M-matrices.
McDonald, J. J., Schneider, H.
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The Electronic Journal of Linear Algebra, 2007 In this paper, block distance matrices are introduced. Suppose F is a square block matrix in which each block is a symmetric matrix of some given order. If F is positive semidefinite, the block distance matrix D is defined as a matrix whose (i, j)-block is given by D ij = F ii +F jj -2F ij .
R. Balaji, Ravindra Bapat
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On the Limiting Distribution of the Spectra of Random Block Matrices
MathematicsThe behavior of the spectra of symmetric block-type random matrices with symmetric blocks of high dimensionality is considered in this paper. Under minimal conditions regarding the distributions of matrix block elements (Lindeberg conditions), the ...
Alexander N. Tikhomirov
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Block-encoding structured matrices for data input in quantum computing [PDF]
QuantumThe cost of data input can dominate the run-time of quantum algorithms. Here, we consider data input of arithmetically structured matrices via $\textit{block encoding}$ circuits, the input model for the quantum singular value transform and related ...
Christoph Sünderhauf +2 more
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Applied Sciences, 2022 The sparse matrix–vector product (SpMV), considered one of the seven dwarfs (numerical methods of significance), is essential in high-performance real-world scientific and analytical applications requiring solution of large sparse linear equation systems,
Muhammad Ahmed +6 more
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Algebraic and toroidal representation of the genetic code
Frontiers in Applied Mathematics and StatisticsThe genetic code is a set of regulatory principles that control the translation of information encoded in messenger RNA (mRNA) into a sequence of amino acids.
Rodrigo Rodríguez-Gutiérrez +3 more
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A Family of Maximal Algebras of Block Toeplitz Matrices
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 The maximal commutative subalgebras containing only Toeplitz matrices have been identified as generalized circulants. A similar simple description cannot be obtained for block Toeplitz matrices.
Khan Muhammad Ahsan
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Elementary triangular matrices and inverses of k-Hessenberg and triangular matrices
Special Matrices, 2015 We use elementary triangular matrices to obtain some factorization, multiplication, and inversion properties of triangular matrices. We also obtain explicit expressions for the inverses of strict k-Hessenberg matrices and banded matrices. Our results can
Verde-Star Luis
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Dynamical System Stability Criteria Based on the Frobenius Norm
AppliedMathIt is well known that the position of the Jacobian matrix spectrum in the left-half complex plane provides the local asymptotic stability of a nonlinear dynamical system, but it is also well known that for large matrices, computing its eigenvalues just ...
Dragana Cvetković, Ernest Šanca
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Formalized Mathematics, 2008 Summary. In this paper I present basic properties of block diagonal matrices over a set. In my approach the finite sequence of matrices in a block diagonal matrix is not restricted to square matrices. Moreover, the o-diagonal blocks need not be zero matrices, but also with another arbitrary fixed value.
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