The Direct Cylindrical Boris Algorithm

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.

Cylindrical Algebraic Decomposition I: The Basic Algorithm

Given I set of r-variatc integral polynomials, a cyllndrlt:al allebrtJJc decompoJition. (cad) of euclidean r-space E' partitioDIl E' into connected lubsets compatible with the zeros of tbe polynomials. Collins gave a cad construction algorithm in 1975, u part of • quantifier elimination procedure for real dosed fields. The algorithm has subsequently found diverse applications (optimization, cur...

Boris Dubin

Cylindrical Constraint Evolutionary Algorithm for Multiobjective Optimization

This paper introduces a new iterative evolutionary algorithm, which is able to provide an evenly distributed set of solutions in multiobjective context. The method is different from the other evolutionary algorithms in two perspectives. First, instead of density information incorporated to find a diverse set of solutions, a hypercylinder is introduced as a new constraint to the problem. Searchi...

Optimization of Composite Stiffened Cylindrical Shell using PSO Algorithm

Composite stiffened cylindrical shells are widely used as primary elements in aerospace structures. In the recent years, there has been a growing research interest in optimum design of composite stiffened cylindrical shell structures for stability under buckling load.  This paper focuses upon the development of an efficient optimization of ring-stringer stiffened cylindrical shell. The opti...