The book also addresses linear programming duality theory and its use in algorithm design as well as the Dual Simplex Method, Dantzig-Wolfe decomposition, and a primal-dual interior point algorithm.

Formulate linear and integer programming problems for solving commonly encountered optimization problems. Understand how approximation algorithms compute solutions that are guaranteed to be within ...

“We had to control how big a number shows up as we do this guessing and coordination,” said Peng. Peng and Vempala prove that their algorithm can solve any sparse linear system in n2.332 steps. This ...

LEI-HONG ZHANG, WEI HONG YANG, AN EFFICIENT ALGORITHM FOR SECOND-ORDER CONE LINEAR COMPLEMENTARITY PROBLEMS, Mathematics of Computation, Vol. 83, No. 288 (JULY 2014), pp. 1701-1726 ...

An algorithm is presented for nonlinear least squares estimation in which the parameters to be estimated can be regarded as all nonlinear (the traditional approach) or reclassified as linear-nonlinear ...

Quantum computers take advantage of quantum phenomena to perform certain calculations more efficiently than their classical counterparts. Thanks to these abilities, they can already topple complex ...