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LU- versus UL-Factorization of Integral Operators with Semi-Separable Kernel

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Abstract.

The problem we consider is how to obtain a UL-factorization from a LU-factorization for integral operators with semi-separable kernels in both the time varying and the time invariant cases. We also consider the special situation where the integral operators are self-adjoint.

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Authors and Affiliations

  1. Department of Mathematics and Applied Mathematics, Potchefstroom University for CHE, Potchefstroom, X 6001, South Africa

    Mark A. Petersen

  2. Divisie Wiskunde en Informatica, Faculteit Wiskunde en Informatica, Vrije Universiteit Amsterdam, De Boelelaan 1081a, 1081 HV, Amsterdam, The Netherlands

    André C. M. Ran

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  1. Mark A. Petersen
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  2. André C. M. Ran
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Correspondence to Mark A. Petersen.

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Petersen, M.A., Ran, A.C.M. LU- versus UL-Factorization of Integral Operators with Semi-Separable Kernel. Integr. equ. oper. theory 50, 549–558 (2004). https://doi.org/10.1007/s00020-003-1229-9

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  • DOI: https://doi.org/10.1007/s00020-003-1229-9

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