数学杂志Issue(2):419-428,10.
实对称五对角矩阵Procrustes 问题
REAL SYMMETRIC FIVE-DIAGONAL MATRIX PROCRUSTES PROBLEM
摘要
Abstract
In this paper, we study real symmetric five-diagonal Procrustes. By using the singular value decomposition and analytic methods, we find the real symmetric five-diagonal matrix X which minimizes the Frobenius (or Euclidean) norm of AX−B, with A and B as given rectangular matrices. Numerical difficulties are discussed and illustrated by example.关键词
实对称五对角矩阵/Procrustes问题Key words
real symmetric five-diagonal matrix/Procrustes problem分类
数理科学引用本文复制引用
李姣芬,张晓宁..实对称五对角矩阵Procrustes 问题[J].数学杂志,2015,(2):419-428,10.基金项目
国家自然科学青年基金资助(11301107) (11301107)
国家自然科学数学天元基金资助(11226323) (11226323)
广西自然科学青年基金(2013GXNSFBA019009) (2013GXNSFBA019009)