A CONTRIBUTION TO THE CONDITIONING OF THE MIXED LEAST-SQUARES SCALED TOTAL LEAST-SQUARES PROBLEM

被引：0

作者：

Meng, Lingsheng ^{[1
]}

机构：

[1] Northwest Normal Univ, Coll Math & Stat, Lanzhou 730070, Peoples R China

来源：

ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS | 2022年 / 55卷

关键词：

mixed least-squares scaled total least-squares; condition numbers; mixed least-squares total least-squares;

D O I：

10.1553/etna_vol55s618

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new closed formula for first-order perturbation estimates for the solution of the mixed least-squares scaled total least-squares (MLSSTLS) problem is presented. It is mathematically equivalent to the one by [Zhang and Wang, Numer. Algorithms, 89 (2022), pp. 1223-1246]. With this formula, new closed formulas for the relative normwise, mixed, and componentwise condition numbers of the MLSSTLS problem are derived. Compact forms and upper bounds for the relative normwise condition number are also given in order to obtain economic storage and efficient computations.

引用

页码：618 / 626

页数：9

共 50 条

[1] A CONTRIBUTION TO THE CONDITIONING OF THE MIXED LEAST-SQUARES SCALED TOTAL LEAST-SQUARES PROBLEM
Meng L.
Electronic Transactions on Numerical Analysis, 2021, 55 : 618 - 626
[2] A CONTRIBUTION TO THE CONDITIONING OF THE TOTAL LEAST-SQUARES PROBLEM
Baboulin, Marc
Gratton, Serge
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2011, 32 (03) : 685 - 699
[3] AN ANALYSIS OF THE TOTAL LEAST-SQUARES PROBLEM
GOLUB, GH
VANLOAN, CF
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1980, 17 (06) : 883 - 893
[4] ALGEBRAIC CONNECTIONS BETWEEN THE LEAST-SQUARES AND TOTAL LEAST-SQUARES PROBLEMS
VANHUFFEL, S
VANDEWALLE, J
NUMERISCHE MATHEMATIK, 1989, 55 (04) : 431 - 449
[5] Localization of wideband signals using least-squares and total least-squares approaches
Valaee, S
Champagne, B
Kabal, P
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1999, 47 (05) : 1213 - 1222
[6] WHEN LEAST-SQUARES SQUARES LEAST
ALCHALABI, M
GEOPHYSICAL PROSPECTING, 1992, 40 (03) : 359 - 378
[7] Total least-squares problem for exponential function
Scitovski, R
Jukic, D
INVERSE PROBLEMS, 1996, 12 (03) : 341 - 349
[8] On the recursive total least-squares
Pham, C
Ogunfunmi, T
1997 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING, VOLS I - V: VOL I: PLENARY, EXPERT SUMMARIES, SPECIAL, AUDIO, UNDERWATER ACOUSTICS, VLSI; VOL II: SPEECH PROCESSING; VOL III: SPEECH PROCESSING, DIGITAL SIGNAL PROCESSING; VOL IV: MULTIDIMENSIONAL SIGNAL PROCESSING, NEURAL NETWORKS - VOL V: STATISTICAL SIGNAL AND ARRAY PROCESSING, APPLICATIONS, 1997, : 1989 - 1992
[9] A Problem of Least-Squares Type
Vashchenko, I. N.
MOSCOW UNIVERSITY MATHEMATICS BULLETIN, 2008, 63 (04) : 165 - 167
[10] COLLINEARITY AND TOTAL LEAST-SQUARES
FIERRO, RD
BUNCH, JR
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1994, 15 (04) : 1167 - 1181

← 1 2 3 4 5 →