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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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Factorable generalized Hausdorff matrices
2010An ordinary conservative Hausdorff matrix \((*)\) \(\binom n k \Delta^{n-k}\mu_k\) \((0 \leq k \leq n),\) where \(\Delta^0 \mu_k: = \mu_k\), \(\Delta \mu_k:= \mu_k-\mu_{k+1}\), is defined by its moment sequence \(\mu_k = \int^1_0 t^k \,d \chi (t)\). The conservative matrices \(H = (h_{nk} : 0 \leq k \leq n)\) under consideration have the exponent \(k\)
AYDIN AKGÜN, Fatma, RHOADES, BILLY
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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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Coprime Factorizations of Multivariate Rational Matrices
Mathematics of Control, Signals, and Systems, 2000Coprime factorization is a well-known issue in one-dimensional systems theory, having many applications in realization theory, balancing, controller synthesis, etc. Generalization to systems in more than one independent variable is a delicate matter: First of all, several non-equivalent coprimeness notions have to be taken into account. Even worse, the
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Factorable polynomial matrices
Mathematical Notes, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Spectra and Fine Spectra for Factorable Matrices
Integral Equations and Operator Theory, 2005B E Rhoades
exaly
Sufficient Conditions for Factorable Matrices to be Bounded Operators on ${\cal A}_k$
Rocky Mountain Journal of Mathematics, 2009E Savas, B E Rhoades
exaly
Decomposition of Data Matrices by Factors
2003Wolfgang Karl Härdle, Léopold Simar
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On a Factorization of Pseudo-Orthogonal Matrices
The Quarterly Journal of Mathematics, 1946openaire +2 more sources

