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NA
2010
118views more  NA 2010»
13 years 5 months ago
Practical Quasi-Newton algorithms for singular nonlinear systems
Quasi-Newton methods for solving singular systems of nonlinear equations are considered in this paper. Singular roots cause a number of problems in implementation of iterative met...
Sandra Buhmiler, Natasa Krejic, Zorana Luzanin
JUCS
2010
134views more  JUCS 2010»
13 years 5 months ago
Newton Method for Nonlinear Dynamic Systems with Adaptive Time Stepping
Abstract: This paper presents a nonlinear solver based on the Newton-Krylov methods, where the Newton equations are solved by Krylov-subspace type approaches. We focus on the solut...
Wensheng Shen, Changjiang Zhang, Jun Zhang, Xiaoqi...
STOC
2007
ACM
132views Algorithms» more  STOC 2007»
14 years 7 months ago
On the convergence of Newton's method for monotone systems of polynomial equations
Monotone systems of polynomial equations (MSPEs) are systems of fixed-point equations X1 = f1(X1, . . . , Xn), . . . , Xn = fn(X1, . . . , Xn) where each fi is a polynomial with p...
Stefan Kiefer, Michael Luttenberger, Javier Esparz...
MOC
2000
181views more  MOC 2000»
13 years 6 months ago
Newton's method for overdetermined systems of equations
Abstract. Complexity theoretic aspects of continuation methods for the solution of square or underdetermined systems of polynomial equations have been studied by various authors. I...
Jean-Pierre Dedieu, Mike Shub
JMIV
2007
484views more  JMIV 2007»
13 years 6 months ago
On Semismooth Newton's Methods for Total Variation Minimization
In [2], Chambolle proposed an algorithm for minimizing the total variation of an image. In this short note, based on the theory on semismooth operators, we study semismooth Newton...
Michael K. Ng, Liqun Qi, Yu-Fei Yang, Yu-Mei Huang