Solving Linear Systems with Iterative and Least Squares Methods

Practical Numerical and Scientific Computing with MATLAB® and Python ◽

10.1201/9780429021985-2 ◽

2020 ◽

pp. 23-56

Author(s):

Eihab B. M. Bashier

Keyword(s):

Least Squares ◽

Linear Systems

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TSIRM: A Two-Stage Iteration with Least-Squares Residual Minimization Algorithm to Solve Large Sparse Linear Systems

2015 IEEE International Parallel and Distributed Processing Symposium Workshop ◽

10.1109/ipdpsw.2015.45 ◽

2015 ◽

Author(s):

Raphael Couturier ◽

Lilia Ziane Khodja ◽

Christophe Guyeux

Keyword(s):

Least Squares ◽

Linear Systems ◽

Sparse Linear Systems ◽

Minimization Algorithm ◽

Two Stage ◽

Residual Minimization

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Linear systems having nonnegative least squares solution

Linear and Multilinear Algebra ◽

10.1080/03081088408817583 ◽

1984 ◽

Vol 15 (2) ◽

pp. 121-132

Author(s):

S.K. Jain ◽

L.E. Snyder

Keyword(s):

Least Squares ◽

Linear Systems ◽

Nonnegative Least Squares ◽

Least Squares Solution

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Level-2 condition numbers for least-squares solution of Kronecker product linear systems

International Journal of Computer Mathematics ◽

10.1080/00207160701464557 ◽

2008 ◽

Vol 85 (5) ◽

pp. 827-841 ◽

Cited By ~ 1

Author(s):

Wenhua Kang ◽

Hua Xiang

Keyword(s):

Least Squares ◽

Linear Systems ◽

Kronecker Product ◽

Condition Numbers ◽

Least Squares Solution ◽

Level 2

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Parameter identification and convergence analysis based on the least-squares method for a class of non-linear systems Part 1. SISO case

International Journal of Systems Science ◽

10.1080/00207729108910587 ◽

1991 ◽

Vol 22 (1) ◽

pp. 33-48 ◽

Cited By ~ 8

Author(s):

MING-WANG ZHAO ◽

YONG-ZAI LU

Keyword(s):

Parameter Identification ◽

Least Squares ◽

Convergence Analysis ◽

Linear Systems ◽

Least Squares Method ◽

Non Linear ◽

Non Linear Systems

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Exploiting Lower Precision Arithmetic in Solving Symmetric Positive Definite Linear Systems and Least Squares Problems

SIAM Journal on Scientific Computing ◽

10.1137/19m1298263 ◽

2021 ◽

Vol 43 (1) ◽

pp. A258-A277

Author(s):

Nicholas J. Higham ◽

Srikara Pranesh

Keyword(s):

Least Squares ◽

Linear Systems ◽

Positive Definite ◽

Least Squares Problems ◽

Symmetric Positive Definite

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Row elimination for solving sparse linear systems and least squares problems

Lecture Notes in Mathematics - Numerical Analysis ◽

10.1007/bfb0080119 ◽

1976 ◽

pp. 122-133 ◽

Cited By ~ 11

Author(s):

W. Morven Gentleman

Keyword(s):

Least Squares ◽

Linear Systems ◽

Sparse Linear Systems ◽

Least Squares Problems

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Chapter 3: Linear Systems and Least Squares

Matrix Methods in Data Mining and Pattern Recognition, second edition ◽

10.1137/1.9781611975864.ch3 ◽

2019 ◽

pp. 21-32

Keyword(s):

Least Squares ◽

Linear Systems

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Improved componentwise verified error bounds for least squares problems and underdetermined linear systems

Numerical Algorithms ◽

10.1007/s11075-013-9735-6 ◽

2013 ◽

Vol 66 (2) ◽

pp. 309-322 ◽

Cited By ~ 5

Author(s):

Siegfried M. Rump

Keyword(s):

Least Squares ◽

Linear Systems ◽

Error Bounds ◽

Least Squares Problems ◽

Underdetermined Linear Systems

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On-line Modified Least-squares Parameter Estimation of Linear Systems with Input-output Data Polluted by Measurement Noises **

IFAC Proceedings Volumes ◽

10.1016/s1474-6670(17)54837-5 ◽

1988 ◽

Vol 21 (9) ◽

pp. 863-868

Author(s):

Chun-Bo Feng ◽

Wei-Xing Zheng

Keyword(s):

Parameter Estimation ◽

Least Squares ◽

Linear Systems ◽

Input Output ◽

Output Data ◽

On Line ◽

Measurement Noises

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An efficient LDU algorithm for the minimal least squares solution of linear systems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2018.05.037 ◽

2018 ◽

Vol 344 ◽

pp. 346-355 ◽

Cited By ~ 1

Author(s):

I. Fernández de Bustos ◽

V. García-Marina ◽

G. Urkullu ◽

M. Abasolo

Keyword(s):

Least Squares ◽

Linear Systems ◽

Least Squares Solution

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