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Properties Of Some Matrix Classes In Linear Complementarity Theory., Arup Kumar Das Dr. Nov 2006

Properties Of Some Matrix Classes In Linear Complementarity Theory., Arup Kumar Das Dr.

Doctoral Theses

The linear complementarity problem is a fundamental problem that arises in optimization, game theory, economics, and engineering. It can be stated as follows:Given a square matrix A of order n with real entries and an n dimensional vector q, find n dimensional vectors w and z satisfying w − Az = q, w ≥ 0, z ≥ 0 (1.1.1) w t z = 0. (1.1.2)This problem is denoted as LCP(q, A). The name comes from the condition (1.1.2), the complementarity condition which requires that at least one variable in the pair (wj , zj ) should be equal to 0 …


Design Of Iteration On Hash Functions And Its Cryptanalysis., Mridul Nandi Dr. May 2006

Design Of Iteration On Hash Functions And Its Cryptanalysis., Mridul Nandi Dr.

Doctoral Theses

No abstract provided.


The Evolution Of Equation-Solving: Linear, Quadratic, And Cubic, Annabelle Louise Porter Jan 2006

The Evolution Of Equation-Solving: Linear, Quadratic, And Cubic, Annabelle Louise Porter

Theses Digitization Project

This paper is intended as a professional developmental tool to help secondary algebra teachers understand the concepts underlying the algorithms we use, how these algorithms developed, and why they work. It uses a historical perspective to highlight many of the concepts underlying modern equation solving.