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

Musheng Wei

doi:10.1137/0729084

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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A new technique of quaternion equality constrained least squares problem

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2007.06.005 ◽

2008 ◽

Vol 216 (2) ◽

pp. 509-513 ◽

Cited By ~ 15

Author(s):

Tongsong Jiang ◽

Jianli Zhao ◽

Musheng Wei

Keyword(s):

Least Squares ◽

New Technique ◽

Constrained Least Squares ◽

Least Squares Problem ◽

A New Technique ◽

Equality Constrained Least Squares

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Real structure‐preserving algorithm for quaternion equality constrained least squares problem

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.6214 ◽

2020 ◽

Author(s):

Ying Li ◽

Yanzhen Zhang ◽

Musheng Wei ◽

Hong Zhao

Keyword(s):

Least Squares ◽

Real Structure ◽

Constrained Least Squares ◽

Structure Preserving ◽

Least Squares Problem ◽

Equality Constrained Least Squares

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An algorithm based on QSVD for the quaternion equality constrained least squares problem

Numerical Algorithms ◽

10.1007/s11075-020-01019-z ◽

2020 ◽

Author(s):

Yanzhen Zhang ◽

Ying Li ◽

Musheng Wei ◽

Hong Zhao

Keyword(s):

Least Squares ◽

Constrained Least Squares ◽

Least Squares Problem ◽

Equality Constrained Least Squares

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Row-Wise Backward Stable Elimination Methods for the Equality Constrained Least Squares Problem

SIAM Journal on Matrix Analysis and Applications ◽

10.1137/s0895479898335957 ◽

1999 ◽

Vol 21 (1) ◽

pp. 313-326 ◽

Cited By ~ 17

Author(s):

Anthony J. Cox ◽

Nicholas J. Higham

Keyword(s):

Least Squares ◽

Constrained Least Squares ◽

Least Squares Problem ◽

Equality Constrained Least Squares

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Equality constrained least squares problem over quaternion field

Applied Mathematics Letters ◽

10.1016/s0893-9659(03)90012-7 ◽

2003 ◽

Vol 16 (6) ◽

pp. 883-888 ◽

Cited By ~ 25

Author(s):

Tongsong Jiang ◽

Musheng Wei

Keyword(s):

Least Squares ◽

Constrained Least Squares ◽

Least Squares Problem ◽

Quaternion Field ◽

Equality Constrained Least Squares

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On direct elimination methods for solving the equality constrained least squares problem

Linear and Multilinear Algebra ◽

10.1080/03081080801928068 ◽

2010 ◽

Vol 58 (2) ◽

pp. 173-184

Author(s):

Qiaohua Liu ◽

Musheng Wei

Keyword(s):

Least Squares ◽

Constrained Least Squares ◽

Least Squares Problem ◽

Equality Constrained Least Squares

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GSOR Method for the Equality Constrained Least Squares Problems and the Generalized Least Squares Problems

International Journal of Computer Mathematics ◽

10.1080/00207160212112 ◽

2002 ◽

Vol 79 (8) ◽

pp. 955-960

Author(s):

Changjun Li ◽

David J. Evans

Keyword(s):

Least Squares ◽

Generalized Least Squares ◽

Least Squares Problems ◽

Constrained Least Squares ◽

Equality Constrained Least Squares

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A Nonmonotone Matrix-Free Algorithm for Nonlinear Equality-Constrained Least-Squares Problems

SIAM Journal on Scientific Computing ◽

10.1137/20m1349138 ◽

2021 ◽

pp. S743-S766

Author(s):

El Houcine Bergou ◽

Youssef Diouane ◽

Vyacheslav Kungurtsev ◽

Clément W. Royer

Keyword(s):

Least Squares ◽

Least Squares Problems ◽

Constrained Least Squares ◽

Equality Constrained Least Squares ◽

Matrix Free ◽

Nonlinear Equality

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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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Algorithm 587: Two Algorithms for the Linearly Constrained Least Squares Problem

ACM Transactions on Mathematical Software ◽

10.1145/356004.356010 ◽

1982 ◽

Vol 8 (3) ◽

pp. 323-333 ◽

Cited By ~ 47

Author(s):

Richard J. Hanson ◽

Karen H. Haskell

Keyword(s):

Least Squares ◽

Constrained Least Squares ◽

Least Squares Problem ◽

Linearly Constrained

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