Arithmetic complexity of computations: "Based on lectures given by the author at the University of Pittsburgh."
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Bibliographic Details
Main Author: Winograd, Shmuel 1936-2019 (Author)
Format: Electronic eBook
Language:English
Published: Philadelphia, Pa. Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104) [1980]
Series:CBMS-NSF regional conference series in applied mathematics 33
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Online Access:TUM01
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Item Description:Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader
Includes bibliographical references (p. 93)
Three examples -- General background -- Product of polynomials -- FIR filters -- Product of polynomials modulo a polynomial -- Cyclic convolution and discrete Fourier transform
Focuses on finding the minimum number of arithmetic operations needed to perform the computation and on finding a better algorithm when improvement is possible. The author concentrates on that class of problems concerned with computing a system of bilinear forms. Results that lead to applications in the area of signal processing are emphasized, since (1) even a modest reduction in the execution time of signal processing problems could have practical significance; (2) results in this area are relatively new and are scattered in journal articles; and (3) this emphasis indicates the flavor of complexity of computation
Physical Description:1 Online-Ressource (iii, 93 Seiten)
ISBN:0898711630
9780898711639
DOI:10.1137/1.9781611970364

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