perturbation and conditions for weighted moore-penrose inverse and weighted linear least squares problem |
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perturbation and conditions for weighted moore-penrose inverse and weighted linear least squares problem 收藏此文
全部作者 ： 王淑璠 郑兵 熊志平
第一作者单位 ： 兰州大学数学与统计学院
论文摘要 ： it is well known that the normwise relative condition numbers measure the sensitiv-ity of an input data to small perturbations. condition numbers play an important rolein numerical analysis. in this paper, we consider various weighted normwise relativecondition number formulas for the weighted moore-penrose inverse of a full-columnrank matrix and obtain explicit expressions for the weighted condition number of thelinear least-squares(ls) problems minx kax ?bkm. these explicit expressions are de-rived for the case where the matrix and vector weighted norms and the assumptionrank(a + ) = rank(a) are used. they extend the earlier work of some anthers.
关键词 ： condition number; weighted linear least squares problem; weighted moore-
发表日期 ： 2008年03月06日
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