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Approximate complex polynomial evaluation in near constant work per point

Publication ,  Journal Article
Reif, JH
Published in: Conference Proceedings of the Annual ACM Symposium on Theory of Computing
January 1, 1997

The polynomial at a large number of m≥n of points on the complex plane given the n complex coefficients of a degree n - 1 complex polynomial is evaluated. This problem is required by many algebraic computations and is considered in most basic algorithm texts. An arithmetic model for computation is assumed, where an arithmetic operation can be executed on each step, and is computed exactly. An approximation algorithm is provided for complex polynomial evaluation that cost near constant amortized work per point.

Duke Scholars

Published In

Conference Proceedings of the Annual ACM Symposium on Theory of Computing

DOI

ISSN

0734-9025

Publication Date

January 1, 1997

Start / End Page

30 / 39
 

Citation

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Reif, J. H. (1997). Approximate complex polynomial evaluation in near constant work per point. Conference Proceedings of the Annual ACM Symposium on Theory of Computing, 30–39. https://doi.org/10.1145/258533.258543
Reif, J. H. “Approximate complex polynomial evaluation in near constant work per point.” Conference Proceedings of the Annual ACM Symposium on Theory of Computing, January 1, 1997, 30–39. https://doi.org/10.1145/258533.258543.
Reif JH. Approximate complex polynomial evaluation in near constant work per point. Conference Proceedings of the Annual ACM Symposium on Theory of Computing. 1997 Jan 1;30–9.
Reif, J. H. “Approximate complex polynomial evaluation in near constant work per point.” Conference Proceedings of the Annual ACM Symposium on Theory of Computing, Jan. 1997, pp. 30–39. Scopus, doi:10.1145/258533.258543.
Reif JH. Approximate complex polynomial evaluation in near constant work per point. Conference Proceedings of the Annual ACM Symposium on Theory of Computing. 1997 Jan 1;30–39.

Published In

Conference Proceedings of the Annual ACM Symposium on Theory of Computing

DOI

ISSN

0734-9025

Publication Date

January 1, 1997

Start / End Page

30 / 39