Results 31 to 40 of about 1,572,263 (313)
Biomechanics of Borrelia burgdorferi Vascular Interactions
Cell Reports, 2016 Systemic dissemination of microbes is critical for progression of many infectious diseases and is associated with most mortality due to bacterial infection.
Rhodaba Ebady +10 more
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Color critical hypergraphs and forbidden configurations [PDF]
Discrete Mathematics & Theoretical Computer Science, 2005 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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Computing the Entropy of a Large Matrix
, 2014 Given a large real symmetric, positive semidefinite m-by-m matrix, the goal of this paper is to show how a numerical approximation of the entropy, given by the sum of the entropies of the individual eigenvalues, can be computed in an efficient way.
Bessire, Bänz +2 more
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Square matrices with the inverse diagonal property
Kuwait Journal of ScienceWe 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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Sign determinacy of M-matrix minors
Linear Algebra and its Applications, 1987 Let A be a (singular or non-singular) M-matrix, and let G(A) denote its undirected graph. The main result is that if the longest simple cycle of G(A) has length not exceeding 3 then the sign of any minor of A depends only on G(A) and not on the magnitude of the entries of A.
Johnson, Charles R. +3 more
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General-type discrete self-adjoint Dirac systems: explicit solutions of direct and inverse problems, asymptotics of Verblunsky-type coefficients and stability of solving inverse problem [PDF]
, 2018 We consider discrete self-adjoint Dirac systems determined by the potentials (sequences) $\{C_k\}$ such that the matrices $C_k$ are positive definite and $j$-unitary, where $j$ is a diagonal $m\times m$ matrix and has $m_1$ entries $1$ and $m_2$ entries $
Roitberg, I. Ya., Sakhnovich, A. L.
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ON CAUCHY-TYPE BOUNDS FOR THE EIGENVALUES OF A SPECIAL CLASS OF MATRIX POLYNOMIALS
Ural Mathematical Journal, 2023 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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Spektrum Laplace pada graf kincir angin berarah (Q_k^3)
Majalah Ilmiah Matematika dan Statistika, 2022 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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Completions of M-matrix patterns
Linear Algebra and its Applications, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Inverse M-matrix inequalities and generalized ultrametric matrices
Linear Algebra and its Applications, 1995 The authors introduce a class of matrices called generalized ultrametric matrices. That class is defined in terms of triangles in the weighted graph of the matrix, and it contains the ultrametric matrices as well as some unsymmetric matrices. The authors show that a generalized ultrametric matrix is the inverse of a row diagonally dominant \(M\)-matrix
McDonald, J.J. +3 more
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