Abstract
A data parallel algorithm is described for solving functional matrix equations, using evaluation and rational interpolation based on Thiele's reciprocal differences.
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References
E. V. Krishnamurthy, ‘Error-Free Polynomial Matrix Computations’ (Springer-Verlag, New York 1985).
V. K. Murthy, E. V. Krishnamurthy and Pin Chen, ‘Systolic Algorithm For Rational Interpolation and Padé Approximation', Parallel Computing, Vol. 18, pp.75–83, January 1992.
E. V. Krishnamurthy and S. K. Sen, ‘Numerical Algorithms'(Affiliated, East-West Press, New Delhi 1986).
A. Ben-Israel and T. N. E Greville. ‘Generalized Inverses: Theory and Applications',Wiley, New York, 1974).
E. W. Cheney, ‘Introduction to Approximation theory', (McGraw Hill, New York, 1966).
E. V. Krishnamurthy and Pin Chen, ‘Polynomial Matrix Computation Using Data Parallel Evaluation-Interpolation’ to appear in the Sixteenth Australian Computer Science Conference 1993.
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© 1992 Springer-Verlag Berlin Heidelberg
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Pin, C., Krishnamurthy, E.V. (1992). Data parallel evaluation-interpolation algorithm for solving functional matrix equations. In: Bougé, L., Cosnard, M., Robert, Y., Trystram, D. (eds) Parallel Processing: CONPAR 92—VAPP V. VAPP CONPAR 1992 1992. Lecture Notes in Computer Science, vol 634. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-55895-0_486
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DOI: https://doi.org/10.1007/3-540-55895-0_486
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