A method for determining the partial indices of symmetric matrix functions

DOI10.1134/S0037446606010058zbMath1223.15013MaRDI QIDQ536626

Anatoliĭ Fedorovich Voronin

Publication date: 19 May 2011

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

circularRiemann problemfactorizationsymmetricorthogonalunitaryHermitianpartial indexsymmetric matrix functionwell-posedness conditions

Mathematics Subject Classification ID

Factorization of matrices (15A23) Matrix exponential and similar functions of matrices (15A16)

Related Items (7)

Exploring the spectra of some classes of singular integral operators with symbolic computation ⋮ Systems of convolution equations of the first and second kind on a finite interval and factorization of matrix-functions ⋮ Truncated Wiener-Hopf equation and matrix function factorization ⋮ Unnamed Item ⋮ Factorization of matrices with symmetries over function algebras ⋮ Symbolic computation applied to the study of the kernel of special classes of paired singular integral operators ⋮ A weak approximation for the Wiener–Hopf factorization

Cites Work

• Partial indices of unitary and Hermitian matrix functions
• Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman
• On the well-posedness of Riemann boundary value problems with matrix coefficient
• Convolution equations on finite intervals and factorization of matrix functions
• A complete generalization of the Wiener-Hopf method to convolution integral equations with integrable kernel on a finite interval
• The construction of potentials from theS-matrix for systems of differential equations
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