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|Title:||Matrix Wiener-Hopf-Hilbert factorisation|
|Keywords:||Wiener-Hopf-Hilbert method;Diffraction;Matrix factorisation|
|Publisher:||Society for Industrial and Applied Mathematics|
|Citation:||Rawlins, A.D. (1986) 'Matrix Wiener-Hopf-Hilbert factorisation', SIAM Journal on Applied Mathematics. 46(1), pp. 133-139. doi: 10.1137/0146011.|
|Abstract:||A method is described for effecting the explicit Wiener-Hopf factorisation of a class of (2 x 2)-matrices. The class is determined such that the factorisation problem can be reduced to a matrix Hilbert problem which involves an upper or lower triangular matrix. Then the matrix Hilbert problem can be further reduced to three scalar Hilbert problems on a half-line, which are solvable in the standard manner.|
|Appears in Collections:||Dept of Mathematics Research Papers|
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