Results 21 to 30 of about 27,057,635 (304)
matrix-toolbox/CHM_scripts: Sinkhorn Algorithm
Several CHM matrices (M-scripts) obtained by the Sinkhorn Algorithm are ...
matrix-toolbox
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An inequality for the hadamard product of an M-matrix and an inverse M-matrix
Let A and B be M-matrices and let \(A\circ B=[a_{ik}b_{ik}]\) be their Hadamard product. The authors obtain the following estimates from below for the smallest eigenvalue \(q(A\circ B^{-1}):\) \[ (a)\quad q(A\circ B^{-1})\geq (q(A)/q(B))(\min_ iu_ iv_ i/\sum_{i}u_ iv_ i), \] where u and v are the left and the right Perron eigenvectors of B ...
Fiedler, M., Markham, Thomas L.
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The effective potential of an M-matrix [PDF]
In the presence of a confining potential V, the eigenfunctions of a continuous Schrödinger operator −Δ + V decay exponentially with the rate governed by the part of V, which is above the corresponding eigenvalue; this can be quantified by a method of Agmon.
Marcel Filoche +2 more
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ALGORITHMS FOR THE RICCATI EQUATION WITH A NONSINGULAR M-MATRIX
We consider different algorithms with linear rate of convergence for computing the minimal nonnegative solution of M-matrix algebraic Riccati equation. The performance of the considered algorithms are illustrated on numerical examples.
Ivanov, Ivelin, Baeva, Neli
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New bounds for the minimum eigenvalue of M-matrices
Some new bounds for the minimum eigenvalue of M-matrices are obtained. These inequalities improve existing results, and the estimating formulas are easier to calculate since they only depend on the entries of matrices.
Wang Feng, Sun Deshu
doaj +1 more source
Color critical hypergraphs and forbidden configurations [PDF]
The present paper connects sharpenings of Sauer's bound on forbidden configurations with color critical hypergraphs. We define a matrix to be \emphsimple if it is a $(0,1)-matrix$ with no repeated columns.
Richard Anstee +3 more
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Matrix-vector representation of a directed graph.
The matrix M and the vector v correspond to the edge set and the vertex set of the graph, respectively. An iteration of graph processing is represented as a matrix-vector multiplication with generalized operations.
Chiwan Park (8356896) +2 more
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Spektrum Laplace pada graf kincir angin berarah (Q_k^3)
Suppose that 0 = µ0 ≤ µ1 ≤ ... ≤ µn-1 are eigen values of a Laplacian matrix graph with n vertices and m(µ0), m(µ1), …, m(µn-1) are the multiplicity of each µ, so the Laplacian spectrum of a graph can be expressed as a matrix 2 × n whose line elements ...
Melly Amaliyanah +2 more
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ON CAUCHY-TYPE BOUNDS FOR THE EIGENVALUES OF A SPECIAL CLASS OF MATRIX POLYNOMIALS
Let \(\mathbb{C}^{m\times m}\) be the set of all \(m\times m\) matrices whose entries are in \(\mathbb{C},\) the set of complex numbers. Then \(P(z):=\sum\limits_{j=0}^nA_jz^j,\) \(A_j\in \mathbb{C}^{m\times m},\) \(0\leq j\leq n\) is called a matrix ...
Zahid Bashir Monga, Wali Mohammad Shah
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Square matrices with the inverse diagonal property
We identify the class of real square invertible matrices A for which the signs of the diagonal entries of A−1 match those of A, and begin their study. We say such matrices have the inverse diagonal property (IDP).
Susana Furtado +3 more
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