A computational method for the indefinite quadratic programming problem

A New Approach for Solving Interval Quadratic Programming Problem

This paper discusses an Interval Quadratic Programming (IQP) problem, where the constraints coefficients and the right-hand sides are represented by interval data. First, the focus is on a common method for solving Interval Linear Programming problem. Then the idea is extended to the IQP problem. Based on this method each IQP problem is reduced to two classical Quadratic Programming (QP) proble...

An Indefinite - Quadratic - Programming Model Fora Continuous - Production Problem

A model is presented for a problem of scheduling the lengths of N production periods on one machine, which will manufacture q products. The problem is to choose production periods so as to minimize the sum of inventory costs for the q products in the presence of given demands. Mathematically, the problem is one of minimizing an indefinite quadratic function subject to linear constraints. A nume...

A new approach for solving fuzzy multi-objective quadratic programming of water resource allocation problem

the algorithm for solving the inverse numerical range problem

برد عددی ماتریس مربعی a را با w(a) نشان داده و به این صورت تعریف می کنیم w(a)={x8ax:x ?s1} ، که در آن s1 گوی واحد است. در سال 2009، راسل کاردن مساله برد عددی معکوس را به این صورت مطرح کرده است : برای نقطه z?w(a)، بردار x?s1 را به گونه ای می یابیم که z=x*ax، در این پایان نامه ، الگوریتمی برای حل مساله برد عددی معکوس ارانه می دهیم.

Stable reduced Hessian updates for indefinite quadratic programming

Stable techniques are considered for updating the reduced Hessian matrix that arises in a null{space active set method for Quadratic Programming when the Hessian matrix itself may be indeenite. A scheme for deening and updating the null-space basis matrix is described which is adequately stable and allows advantage to be taken of sparsity. A new canonical form for the reduced Hessian matrix is ...