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MP
2008
82views more  MP 2008»
13 years 8 months ago
Newton's iterates can converge to non-stationary points
Abstract In this note we discuss the convergence of Newton's method for minimization. We present examples in which the Newton iterates satisfy the Wolfe conditions and the Hes...
Walter F. Mascarenhas
NA
2010
118views more  NA 2010»
13 years 7 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
ARITH
1999
IEEE
14 years 29 days ago
Correctness Proofs Outline for Newton-Raphson Based Floating-Point Divide and Square Root Algorithms
This paper describes a study of a class of algorithms for the floating-point divide and square root operations, based on the Newton-Raphson iterative method. The two main goals we...
Marius A. Cornea-Hasegan, Roger A. Golliver, Peter...
ICA
2010
Springer
13 years 6 months ago
Non-negative Independent Component Analysis Algorithm Based on 2D Givens Rotations and a Newton Optimization
Abstract. In this paper, we consider the Independent Component Analysis problem when the hidden sources are non-negative (Non-negative ICA). This problem is formulated as a non-lin...
Wendyam Serge Boris Ouedraogo, Antoine Souloumiac,...
EUROPAR
2005
Springer
14 years 2 months ago
Parallel Edge-Based Inexact Newton Solution of Steady Incompressible 3D Navier-Stokes Equations
The parallel edge-based solution of 3D incompressible Navier-Stokes equations is presented. The governing partial differential equations are discretized using the SUPG/PSPG stabili...
Renato N. Elias, Marcos A. D. Martins, Alvaro L. G...