State-of-the-art deep neural networks have achieved impressive results on many image
classification tasks. However, these same architectures have been shown to be unstable to …

Over the past fifteen years two new techniques have yielded extremely important
contributions toward the numerical solution of nonlinear systems of equations. This book …

This book was intended as an introduction to the topic of numerical continuation which
would be accessible to a readership of widely varying mathematical backgrounds. Realizing …

Recent years have been characterized by the increasing amountofpublications in the field
ofso-called ill-posed problems. This is easilyunderstandable because we observe the rapid …

This book introduces advanced numerical-functional analysis to beginning computer
science researchers. The reader is assumed to have had basic courses in numerical …

Historical developments in convergence analysis for Newton's and Newton-like methods -
ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Search …

HOMPACK90 is a Fortran 90 version of the Fortran 77 package HOMPACK (Algorithm 652),
a collection of codes for finding zeros or fixed points of nonlinear systems using globally …

A semilocal convergence analysis for directional Newton methods in n-variables is provided
in this study. Using weaker hypotheses than in the elegant related work by Y. Levin and A …

This paper is concerned with proving the existence of solutions to an underdetermined
system of equations and with the application to existence of spherical t-designs with (t+1)^2 …

1.1 Background Physical structures and processes are modeled by dynamical systems in a
wide range of application areas. In structural analysis, for instance, one is interested in the …