由混合数据构造Jacobi矩阵  

ON THE CONSTRUCTION OF A JACOBI MATRIX FROM MIXED DATA

作　　者：吕炯兴[1] 

机构地区：[1]南京航空航天大学

出　　处：《计算数学》1996年第2期171-176,共6页Mathematica Numerica Sinica

摘　　要：由混合数据构造Ｊａｃｏｂｉ矩阵吕炯兴（南京航空航天大学）ＯＮＴＨＥＣＯＮＳＴＲＵＣＴＩＯＮＯＦＡＪＡＣＯＢＩＭＡＴＲＩＸＦＲＯＭＭＩＸＥＤＤＡＴＡ￥ＬｕＴｏｎｇ－ｘｉｎｇ（ＮａｎｊｉｎｇＵｎｉｖｅｒｓｉｔｙｏｆＡｅｒｏｎａｕｔｉｃｓａｎｄＡｓｔｒｏｎ...Abstract This paper discusses the following inverse problem: Problem MD. Given a set of distinct real numbers and n - 1 real numbers a1, a2,... , a[n/2], b1, b2, . .. b[n-1)/2], (where [x] denotes the greatest integer less than or equal to x). Construct a n x n Jacobi matrix J such that J has eigenvalues and where ei denotes the ith column of n×n identity matrix. The sufficient and necessary condition for the solubility of Problem MD is derived, and the algebraic expression of the solution is given if the solution exists.

关 键 词：雅可比矩阵 混合数据 反问题 特征值 

分 类 号：O241.6[理学—计算数学]