Condition numbers for the truncated total least squares problem and their estimations

Numerical Linear Algebra with Applications ◽

10.1002/nla.2369 ◽

2021 ◽

Author(s):

Qing‐Le Meng ◽

Huai‐An Diao ◽

Zheng‐Jian Bai

Keyword(s):

Least Squares ◽

Total Least Squares ◽

Condition Numbers ◽

Least Squares Problem ◽

Truncated Total Least Squares

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Perturbation analysis and condition numbers of mixed least squares-scaled total least squares problem

Numerical Algorithms ◽

10.1007/s11075-021-01151-4 ◽

2021 ◽

Author(s):

Pingping Zhang ◽

Qun Wang

Keyword(s):

Least Squares ◽

Perturbation Analysis ◽

Total Least Squares ◽

Condition Numbers ◽

Least Squares Problem

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Mixed and componentwise condition numbers for a linear function of the solution of the total least squares problem

Linear Algebra and its Applications ◽

10.1016/j.laa.2018.01.008 ◽

2018 ◽

Vol 544 ◽

pp. 1-29 ◽

Cited By ~ 5

Author(s):

Huai-An Diao ◽

Yang Sun

Keyword(s):

Least Squares ◽

Linear Function ◽

Total Least Squares ◽

Condition Numbers ◽

Least Squares Problem

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Some results on condition numbers of the scaled total least squares problem

Linear Algebra and its Applications ◽

10.1016/j.laa.2010.07.022 ◽

2011 ◽

Vol 435 (3) ◽

pp. 674-686 ◽

Cited By ~ 16

Author(s):

Bingyu Li ◽

Zhongxiao Jia

Keyword(s):

Least Squares ◽

Total Least Squares ◽

Condition Numbers ◽

Least Squares Problem

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Condition Numbers of the Multidimensional Total Least Squares Problem

SIAM Journal on Matrix Analysis and Applications ◽

10.1137/15m1053815 ◽

2017 ◽

Vol 38 (3) ◽

pp. 924-948 ◽

Cited By ~ 6

Author(s):

Bing Zheng ◽

Lingsheng Meng ◽

Yimin Wei

Keyword(s):

Least Squares ◽

Total Least Squares ◽

Condition Numbers ◽

Least Squares Problem

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A Unitarily Constrained Total Least Squares Problem in Signal Processing

SIAM Journal on Matrix Analysis and Applications ◽

10.1137/0613046 ◽

1992 ◽

Vol 13 (3) ◽

pp. 729-745 ◽

Cited By ~ 37

Author(s):

K. S. Arun

Keyword(s):

Signal Processing ◽

Least Squares ◽

Total Least Squares ◽

Least Squares Problem

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A fast algorithm for solving the Sylvester structured total least squares problem

Signal Processing ◽

10.1016/j.sigpro.2007.03.001 ◽

2007 ◽

Vol 87 (10) ◽

pp. 2313-2319 ◽

Cited By ~ 3

Author(s):

Bingyu Li ◽

Zhuojun Liu ◽

Lihong Zhi

Keyword(s):

Least Squares ◽

Fast Algorithm ◽

Total Least Squares ◽

Least Squares Problem ◽

Structured Total Least Squares

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Condition Numbers for a Linear Function of the Solution to the Constrained and Weighted Least Squares Problem and Their Statistical Estimation

Taiwanese Journal of Mathematics ◽

10.11650/tjm/201202 ◽

2020 ◽

Author(s):

Mahvish Samar

Keyword(s):

Least Squares ◽

Linear Function ◽

Statistical Estimation ◽

Weighted Least Squares ◽

Condition Numbers ◽

Least Squares Problem

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Analysis and Properties of the Generalized Total Least Squares Problem $AX \approx B$ When Some or All Columns in A are Subject to Error

SIAM Journal on Matrix Analysis and Applications ◽

10.1137/0610023 ◽

1989 ◽

Vol 10 (3) ◽

pp. 294-315 ◽

Cited By ~ 131

Author(s):

Sabine Van Huffel ◽

Joos Vandewalle

Keyword(s):

Least Squares ◽

Total Least Squares ◽

Least Squares Problem

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A note on the scaled total least squares problem

Linear Algebra and its Applications ◽

10.1016/j.laa.2007.03.015 ◽

2008 ◽

Vol 428 (2-3) ◽

pp. 469-478 ◽

Cited By ~ 2

Author(s):

Wei Xu ◽

Sanzheng Qiao ◽

Yimin Wei

Keyword(s):

Least Squares ◽

Total Least Squares ◽

Least Squares Problem

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Generalization of a total least squares problem in frequency-domain system identification

IEEE Transactions on Instrumentation and Measurement ◽

10.1109/tim.2002.808054 ◽

2002 ◽

Vol 51 (6) ◽

pp. 1353-1357 ◽

Cited By ~ 1

Author(s):

L. Balogh ◽

I. Kollar

Keyword(s):

System Identification ◽

Least Squares ◽

Frequency Domain ◽

Total Least Squares ◽

Least Squares Problem

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