Multiplicative perturbation theory of the Moore–Penrose inverse and the least squares problem

Linear Algebra and its Applications ◽

10.1016/j.laa.2016.03.027 ◽

2016 ◽

Vol 503 ◽

pp. 1-25 ◽

Cited By ~ 5

Author(s):

Nieves Castro-González ◽

Froilán M. Dopico ◽

Juan M. Molera

Keyword(s):

Perturbation Theory ◽

Least Squares ◽

Least Squares Problem ◽

Multiplicative Perturbation

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Perturbation theory for the Eckart-Young-Mirsky theorem and the constrained total least squares problem

Linear Algebra and its Applications ◽

10.1016/s0024-3795(98)10018-6 ◽

1998 ◽

Vol 280 (2-3) ◽

pp. 267-287 ◽

Cited By ~ 11

Author(s):

Musheng Wei

Keyword(s):

Perturbation Theory ◽

Least Squares ◽

Total Least Squares ◽

Least Squares Problem

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Perturbation Theory for the Rank-Deficient Equality Constrained Least Squares Problem

SIAM Journal on Numerical Analysis ◽

10.1137/0729084 ◽

1992 ◽

Vol 29 (5) ◽

pp. 1462-1481 ◽

Cited By ~ 19

Author(s):

Musheng Wei

Keyword(s):

Perturbation Theory ◽

Least Squares ◽

Constrained Least Squares ◽

Least Squares Problem ◽

Equality Constrained Least Squares

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Perturbation Theory for the Least Squares Problem with Linear Equality Constraints

SIAM Journal on Numerical Analysis ◽

10.1137/0717028 ◽

1980 ◽

Vol 17 (3) ◽

pp. 338-350 ◽

Cited By ~ 74

Author(s):

Lars Eldén

Keyword(s):

Perturbation Theory ◽

Least Squares ◽

Equality Constraints ◽

Least Squares Problem ◽

Linear Equality Constraints ◽

Linear Equality

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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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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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An efficient method for solving a matrix least squares problem over a matrix inequality constraint

Computational Optimization and Applications ◽

10.1007/s10589-015-9783-z ◽

2015 ◽

Vol 63 (2) ◽

pp. 393-423 ◽

Cited By ~ 6

Author(s):

Jiao-fen Li ◽

Wen Li ◽

Ru Huang

Keyword(s):

Least Squares ◽

Efficient Method ◽

Inequality Constraint ◽

Matrix Inequality ◽

Least Squares Problem

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The Least Squares Problem

Compact Textbooks in Mathematics - Elementary Numerical Mathematics for Programmers and Engineers ◽

10.1007/978-3-319-44660-8_4 ◽

2016 ◽

pp. 69-84

Author(s):

Gisbert Stoyan ◽

Agnes Baran

Keyword(s):

Least Squares ◽

Least Squares Problem

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Solution of the Adiabatic Sound Wave Equation as a Nonlinear Least Squares Problem

International Journal of Thermophysics ◽

10.1007/s10765-018-2479-8 ◽

2019 ◽

Vol 40 (2) ◽

Author(s):

Muhamed Bijedić ◽

Sabina Begić

Keyword(s):

Wave Equation ◽

Least Squares ◽

Sound Wave ◽

Nonlinear Least Squares ◽

Least Squares Problem ◽

Nonlinear Least Squares Problem

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A regularized strong duality for nonsymmetric semidefinite least squares problem

Optimization Letters ◽

10.1007/s11590-010-0233-7 ◽

2010 ◽

Vol 5 (4) ◽

pp. 665-682 ◽

Cited By ~ 1

Author(s):

Yingnan Wang ◽

Naihua Xiu ◽

Ziyan Luo

Keyword(s):

Least Squares ◽

Strong Duality ◽

Least Squares Problem

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Perturbation of the least squares problem

Linear Algebra and its Applications ◽

10.1016/0024-3795(90)90316-5 ◽

1990 ◽

Vol 141 ◽

pp. 177-182 ◽

Cited By ~ 15

Author(s):

Musheng Wei

Keyword(s):

Least Squares ◽

Least Squares Problem

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