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A simple method of factorization of S-matrices into jost matrices

1994
As 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
openaire   +1 more source

Factorable generalized Hausdorff matrices

2010
An 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, 2010
zbMATH 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, 2000
Coprime 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, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Spectra for Factorable Matrices on ℓp

Integral Equations and Operator Theory, 2005
B E Rhoades
exaly  

Spectra and Fine Spectra for Factorable Matrices

Integral Equations and Operator Theory, 2005
B E Rhoades
exaly  

Sufficient Conditions for Factorable Matrices to be Bounded Operators on ${\cal A}_k$

Rocky Mountain Journal of Mathematics, 2009
E Savas, B E Rhoades
exaly  

Decomposition of Data Matrices by Factors

2003
Wolfgang Karl Härdle, Léopold Simar
openaire   +1 more source

On a Factorization of Pseudo-Orthogonal Matrices

The Quarterly Journal of Mathematics, 1946
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