Publisher Summary A demonstration of the existence of equilibrium prices for a general
Walrasian model of competitive behavior necessarily makes use of some variant of …

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

Our objective here is to present a precise, unified, and reasonably comprehensive view of a
new and powerful method for solving equations. This method has emerged over the last …

This paper presents a digest of recently developed simplicial and continuation methods for
approximating fixed-points or zero-points of nonlinear finite-dimensional mappings …

Note: Cowles Foundation Discussion Papers are preliminary materials circulated to
stimulate discussion and critical comment. Requests for single copies of a Paper will be …

In this paper, we study price optimization with price-demand relationships captured by the
paired combinatorial logit (PCL) model, which overcomes restrictions of the well-studied …

This paper considers the problem of solving a system of n nonlinear equations in n
variables, when the underlying functions are continuously differentiable and their derivative …

Recently, Saigal has presented an acceleration technique whereby the fixed point
algorithms based on complementary pivoting can be made to converge quadratically. In this …

A new variable dimension simplicial algorithm for the computation of solutions of systems of
nonlinear equations or the computation of fixed points is presented. It uses the restrart …

We consider methods to improve the convergence of fixed-point algorithms using
complementary pivoting in triangulations. In terms of measures for triangulation introduced …