Constructive methods for factorization of matrix-functions

S Rogosin, G Mishuris - IMA Journal of Applied Mathematics, 2016 - academic.oup.com
A survey of constructive methods for the factorization of matrix-functions is presented. The
importance of these methods for theoretical and practical applications is singled out. Several …

Transformation techniques towards the factorization of non-rational 2× 2 matrix functions

T Ehrhardt, FO Speck - Linear Algebra and its applications, 2002 - Elsevier
For the Wiener–Hopf factorization of 2× 2 matrix functions G defined on a closed Carleson
curve Γ, transformations G↦ UGV where U and V are invertible rational 2× 2 matrix functions …

Fredholmness of Toeplitz operators and corona problems

MC Câmara, C Diogo, L Rodman - Journal of Functional Analysis, 2010 - Elsevier
A meromorphic analogue to the corona problem is formulated and studied and its solutions
are characterized as being left-invertible in a space of meromorphic functions. The …

Meromorphic factorization revisited and application to some groups of matrix functions

M Cristina Camara, M Teresa Malheiro - Complex Analysis and Operator …, 2008 - Springer
Some properties and applications of meromorphic factorization of matrix functions are
studied. It is shown that a meromorphic factorization of a matrix function G allows one to …

A class of compound vector-valued problem and factorization of matrix function

G Guoan, D Jinyuan - Acta Mathematica Scientia, 2010 - Elsevier
In this article, we consider a class of compound vector-valued problem on upper-half plane
ℂ+, which consists of vector Riemann problem along a closed contour in ℂ+ with matrix …

Wiener-Hopf factorization of a class of matrix functions and Corona theorem

G Guo, J Du - Wuhan University Journal of Natural Sciences, 2009 - Springer
Abstract By using Riemann-Hilbert method and Corona theorem, Wiener-Hopf factorization
for a class of matrix functions is studied. Under appropriate assumption, a sufficient and …

[图书][B] Factorização meromorfa e generalizada numa álgebra de funções matriciais 2x2

CMQMV Gavinhos - 2002 - search.proquest.com
Neste trabalho faz-se o estudo das relações entre a factorização generalizada e a
factorização meromorfa de funções matriciais 2 x 2, em particular de várias classes do tipo …

[引用][C] 一类实轴上向量边值问题与矩阵函数分解

郭国安, 杜金元 - 武汉大学学报: 理学版, 2007

[引用][C] 矩阵函数分解中的奇异积分算子的性质

郭国安, 刘台阁 - 南京邮电大学学报(自然科学版), 2012