The Cayley transform in the numerical solution of unitary differential systems |
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Authors: | F Diele L Lopez R Peluso |
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Institution: | (1) I.R.M.A. CNR, Via Amendola 122, I-70125 Bari, Italy;(2) Dipartimento Interuniversitario di Matematica, Via E. Orabona 4, I-70125 Bari, Italy |
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Abstract: | In recent years some numerical methods have been developed to integrate matrix differential systems whose solutions are unitary
matrices. In this paper we propose a new approach that transforms the original problem into a skew-Hermitian differential
system by means of the Cayley transform. The new methods are semi-explicit, that is, no iteration is required but the solution
of a certain number of linear matrix systems at each step is needed. Several numerical comparisons with known unitary integrators
are reported.
This revised version was published online in June 2006 with corrections to the Cover Date. |
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Keywords: | |
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