A Note on Nearest Singular Polynomials
Zhi Lihong
lzhi@hpc.cs.ehime-u.ac.jp
Department of Computer Science
Ehime University
Bunkyo-cho 3
Matsuyama 790-8577, Japan
Wu Wenda
wdwu@mmrc.iss.ac.cn
Beijing Municipal Computing Center
Beijing 100005,China
Abstract
The nearest singular polynomials to a given polynomial have been studied in [1], based on minimization of quadratic forms. An equivalent expression of the quadratic form is presented. It leads to a simple equation satisfied by the double zeros of the nearest singular polynomials.
[1] N.Karmarkar, Lakshman Y.N. Approximate Polynomial Greatest Common Divisors and Nearest Singular Polynomials. In Proceedings of the International Symposium on Symbolic and Algebraic Computation, Zurich, Switzerland, July 1996, 35-39.
© Asian Technology Conference in Mathematics, 1998. |
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