一、引言所谓矩阵反问题就是已知矩阵的某些信息来确定矩阵。在对电学、光学或自动控制的线性系统进行测试时,由于资料不完全或者要求对已有的资料进行校核时,提出了如下的问题,它包含了下面两层意思:首先已知距阵的一些有关信息(包括实测数据和理论上的要求),确定一个矩阵集合S_E,并要求研究该集合非空的条件,集合的性质,给出该集合元素的表达式;进一步给定一个矩阵A(实测给出或者计算 I. INTRODUCTION The so-called matrix inverse problem is to determine the matrix with some information about the known matrix. When testing linear, electrical, optical or automatic systems, the following two questions were raised because of incomplete data or the need to check existing data: (Including the measured data and theoretical requirements) to determine a matrix set S_E, and asked to study the conditions of the collection is not empty, the nature of the collection, given the elements of the expression; further given a matrix A (Actual measurement given or calculated