The Construction And Application In Numerical Calculation Of Orthogonal Arrays By Matlab

This paper constructs the orthogonal arrays(OAs)based on the method and principle by Matlab software.For example,the model of N = 25 of OAs is constructed by Hadamard matrix and eigenvalue function;the model of Lf2(tm)of OAs is constructed by design of orthogonal latin squares.And then we construct the model of L?p2(p?p+1)and Ltu(tm)of OAs by difference matrix and inner driving drum product of vector.Finally,mixed-level OAs and OAs of high strength are constructed by parallel principle and recursive construction.The problem of solving nonlinear equations and over-determined equations is trans-formed into the problem of selecting the function extreme value point.And then,according to the interval shrinkage of OAs,we do the orthogonal experiment to select the nonlinear equations under a certain improvement.Extreme value point of any function can be ob-tained by derivative extremum.This method takes less time to get high precision.There arc notable advantages for using matlab language program on the matrix operations since its basic computing unit is the matrix.Furthermore,compared with the C language,some operations are implemented much easier by Matlab.This paper mainly studies the construction and application in numerical calculation of OAs by Matlab.The paper consists of four chapters and its structure is as follows.Chapter 1 lists the construction method and principle to generate the model of sym-metric,mixed-level and high strength of OAs by matlab software.Chapter 2 lists some basic constructions of mixed orthogonal arrays.Chapter 3 studies how to use interval shrinkage to transfer solution of equations to seeking extremum of function.Chapter 4 summarizes the main content.of this paper and comes up with some sug-gestions.