Volume 2, Issue 2
The Cost of Kuhn's Algorithm and Complexity Theory

Sen-Lin Xu

DOI:

J. Comp. Math., 2 (1984), pp. 152-163

Published online: 1984-02

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  • Abstract

A comparison by Wang and Xu between S. Samle's cost estimation for Newton's method and that of the author's for Kuhn's algorithm, both aiming at the zero finding of complex polynomials, showed improments the advantage of the latter in finding zeros and approximate zeros. In this paper, important on the above work are made. Furthermore, a probabilistic estimation of the monotonicity of Kuhn's algorithm is obtained.

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@Article{JCM-2-152, author = {Sen-Lin Xu}, title = {The Cost of Kuhn's Algorithm and Complexity Theory}, journal = {Journal of Computational Mathematics}, year = {1984}, volume = {2}, number = {2}, pages = {152--163}, abstract = { A comparison by Wang and Xu between S. Samle's cost estimation for Newton's method and that of the author's for Kuhn's algorithm, both aiming at the zero finding of complex polynomials, showed improments the advantage of the latter in finding zeros and approximate zeros. In this paper, important on the above work are made. Furthermore, a probabilistic estimation of the monotonicity of Kuhn's algorithm is obtained. }, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9649.html} }
TY - JOUR T1 - The Cost of Kuhn's Algorithm and Complexity Theory AU - Sen-Lin Xu JO - Journal of Computational Mathematics VL - 2 SP - 152 EP - 163 PY - 1984 DA - 1984/02 SN - 2 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9649.html KW - AB - A comparison by Wang and Xu between S. Samle's cost estimation for Newton's method and that of the author's for Kuhn's algorithm, both aiming at the zero finding of complex polynomials, showed improments the advantage of the latter in finding zeros and approximate zeros. In this paper, important on the above work are made. Furthermore, a probabilistic estimation of the monotonicity of Kuhn's algorithm is obtained.
Sen-Lin Xu. (1970). The Cost of Kuhn's Algorithm and Complexity Theory. Journal of Computational Mathematics. 2 (2). 152-163. doi:
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