34 search results - page 2 / 7 » On the convergence of Newton's method for monotone systems o... |
ANOR
2008
13 years 5 months ago
2008
In inexact Newton methods for solving nonlinear systems of equations, an approximation to the step sk of the Newton's system J(xk)s = -F(xk) is found. This means that sk must...
MOC
2002
13 years 5 months ago
2002
Directional Newton methods for functions f of n variables are shown to converge, under standard assumptions, to a solution of f(x) = 0. The rate of convergence is quadratic, for ne...
NA
2010
13 years 4 months ago
2010
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...
SIAMSC
2011
13 years 19 days ago
2011
The classical inexact Newton algorithm is an efficient and popular technique for solving large sparse nonlinear system of equations. When the nonlinearities in the system are wellb...
CORR
2010
Springer
13 years 5 months ago
2010
Springer
Smale's -theory uses estimates related to the convergence of Newton's method to give criteria implying that Newton iterations will converge quadratically to solutions to ...