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COMPUTING
2010
14 years 7 months ago
Modified HSS iteration methods for a class of complex symmetric linear systems
In this paper, we introduce and analyze a modification of the Hermitian and skewHermitian splitting iteration method for solving a broad class of complex symmetric linear systems....
Zhong-Zhi Bai, Michele Benzi, Fang Chen
ISSAC
2007
Springer
111views Mathematics» more  ISSAC 2007»
15 years 3 months ago
Numerical optimization in hybrid symbolic-numeric computation
Approximate symbolic computation problems can be formulated as constrained or unconstrained optimization problems, for example: GCD [3, 8, 12, 13, 23], factorization [5, 10], and ...
Lihong Zhi
ICMS
2010
14 years 8 months ago
The Design of Core 2: A Library for Exact Numeric Computation in Geometry and Algebra
There is a growing interest in numeric-algebraic techniques in the computer algebra community as such techniques can speed up many applications. This paper is concerned with one su...
Jihun Yu, Chee Yap, Zilin Du, Sylvain Pion, Herv&e...
ADCM
2011
14 years 4 months ago
Perturbed preconditioned inverse iteration for operator eigenvalue problems with applications to adaptive wavelet discretization
ABSTRACT. In this paper we discuss an abstract iteration scheme for the calculation of the smallest eigenvalue of an elliptic operator eigenvalue problem. A short and geometric pro...
Thorsten Rohwedder, Reinhold Schneider, Andreas Ze...
JC
2008
77views more  JC 2008»
14 years 9 months ago
A numerical algorithm for zero counting, I: Complexity and accuracy
We describe an algorithm to count the number of distinct real zeros of a polynomial (square) system f. The algorithm performs O(log(nD(f))) iterations (grid refinements) where n is...
Felipe Cucker, Teresa Krick, Gregorio Malajovich, ...