Normalized Frobenius condition number of the orthogonal projections of the identity

被引：2

作者：

Suarez, Antonio ^{[1
]}

Gonzalez, Luis ^{[1
]}

机构：

[1] Univ Las Palmas Gran Canaria, Dept Math, Las Palmas Gran Canaria 35017, Spain

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2013年 / 400卷 / 02期

关键词：

Frobenius norm minimization; Orthogonal projections; Frobenius condition number; MATRICES;

D O I：

10.1016/j.jmaa.2012.11.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the orthogonal projection (in the Frobenius sense) AN of the identity matrix I onto the matrix subspace AS (A is an element of R-nxn, S being an arbitrary subspace of R-nxn). Lower and upper bounds on the normalized Frobenius condition number of matrix AN are given. Furthermore, for every matrix subspace S subset of R-nxn, a new index (kappa) over cap (F) (A, S), which generalizes the normalized Frobenius condition number of matrix A, is defined and analyzed. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：510 / 516

页数：7

共 12 条

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