Abstract
A parallel algorithm for calculating theQR factorization of a banded system of linear equations using a systolic array processor is presented and an application to spline fitting is given. The major advantage of the method is that the size of the processor array is fixed by the size of the bandwidth of the system to be solved. This allows the factorization of large systems using small systolic arrays. The cost of the method, in terms of storage and time, is optimal.
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Communicated by M. G. Cox
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Anderson, I.J., Harbour, S.K. Parallel factorization of banded linear matrices using a systolic array processor. Adv Comput Math 5, 1–14 (1996). https://doi.org/10.1007/BF02124732
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DOI: https://doi.org/10.1007/BF02124732