Results 231 to 240 of about 9,160 (266)
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Factorizations of confluent Cauchy–Vandermonde matrices
Applied Mathematics and Computation, 2006The authors give the definition of confluent Cauchy-Vandermonde matrices and interpolation interpretation, and introduce Neville elimination. Then they analyze the factorization of the inverse of a special type of confluent Cauchy-Vandermonde matrix as a product of block bidiagonal matrices by using Neville elimination.
Wang, X., Lu, L. Z.
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Factorization of Hessenberg matrices
Linear Algebra and its Applications, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Factoring Matrices into the Product of Circulant and Diagonal Matrices
Journal of Fourier Analysis and Applications, 2015This paper deals with decomposing a square complex matrix into circulant and diagonal factors. A complex \(n \times n\) circulant matrix \(C\) takes the form \[ C=\left( \begin{matrix} c_0 & c_{n-1} & c_{n-2} & \cdots & c_2 & c_1 \\ c_1 & c_0 & c_{n-1} & \cdots & c_3 & c_2 \\ c_2 & c_1 & c_0 & \cdots & c_4 & c_3 \\ \vdots & \vdots & \vdots & &\vdots & \
Huhtanen Marko, Perämäki Allan
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Incomplete Factorizations of Matrices and Connections with H-Matrices
SIAM Journal on Numerical Analysis, 1980There has been much recent interest in the use of incomplete factorizations of matrices, in conjunction with applications of the generalized conjugate gradient method, for approximating solutions of large sparse systems of linear equations. Underlying many of these recent developments is the theory of H-matrices, introduced by A. M. Ostrowski.
Varga, R. S., Saff, E. B., Mehrmann, V.
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Factorization of Quasiseparable Matrices
2008This paper investigates some of the ideas and algorithms developed for exploiting the structure of quasiseparable matrices. The case of purely scalar generators is considered initially. The process by which a quasiseparable matrix is represented as the product of matrices comprised of its generators is explained.
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Transformation of -spectral factorization of improper matrices to proper matrices
Systems & Control Letters, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Factoring matrices into the product of two matrices
BIT Numerical Mathematics, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the factorization of scattering matrices, chain matrices and transfer matrices
Annali di Matematica Pura ed Applicata, 1975Sia J una matrice (finita) Hermitiana di elementi reali, tale che J 2=1. Una matrice S(p) (p=x+iy) e detta J-contrattiva reale, se per essa valgono, nel semipianoRe p>0, le relazioni(0.1), (0.2) e (0.5). Denotiamo col simbolo CRJ la famiglia di queste matrici.
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A simple method of factorization of S-matrices into jost matrices
1994As is well known, the Jost function plays an important role in scattering theory, and particulary in the inverse scattering problem. One of the methods of obtaining Jost function F(k) is to solve Riemann-Hilbert problem for the half-plane: $$ {F_ + }\left( k \right) = {S^{ - 1}}\left( k \right)F - \left( k \right),\quad \operatorname{Im} k = 0 ...
O. I. Kisaev +3 more
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment
Ca-A Cancer Journal for Clinicians, 2022Jun J Mao,, Msce +2 more
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