Chapter title | A systolic Broyden algorithm |
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Authors | Megson, G.M. |
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Abstract | A systolic array for solving nonlinear systems of equations using the Quasi-Newton Broyden algorithm is proposed. The design is based on the idea of reducing a single iteration of the method to a number of Schur complements which can be pipelined on a number of Faddeev arrays. The algorithm requires O(n2) cells for a system of n nonlinear equations in n unknowns and a single iteration of the method requires 6n+5 steps. The input and output formats of the array are identical allowing the start and end of consecutive iterations to be overlapped and pipelined. |
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Keywords | Computational complexity, nonlinear equations, parallel algorithms, systolic arrays, Broyden algorithm, Faddeev arrays, Quasi-Newton Broyden algorithm, Schur complements, nonlinear systems of equations, systolic array |
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Book title | Second International Specialist Seminar on the Design and Application of Parallel Digital Processors, 15-19 April, 1991, venue The Gulbenkian Foundation, Lisbon, Portugal |
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Page range | 127-131 |
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Year | 1991 |
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Publisher | Institution of Electrical Engineers |
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Publication dates |
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*Published* | 1991 |
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Place of publication | London |
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ISBN | 0852965192 |
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Web address (URL) | http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=140032&isnumber=3776 |
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