Provably optimal sparse solutions to overdetermined linear systems with non-negativity constraints in a least-squares sense by implicit enumeration

Optimization and Engineering ◽

10.1007/s11081-021-09676-2 ◽

2021 ◽

Author(s):

Fatih S. Aktaş ◽

Ömer Ekmekcioglu ◽

Mustafa Ç. Pinar

Keyword(s):

Least Squares ◽

Linear Systems ◽

Implicit Enumeration ◽

Overdetermined Linear Systems ◽

Sparse Solutions

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Overdetermined Linear Systems. The Method of Least Squares

A Theoretical Introduction to Numerical Analysis ◽

10.1201/9781420011166-9 ◽

2006 ◽

pp. 211-230

Author(s):

Victor S. Ryaben’kii ◽

Semyon V. Tsynkov

Keyword(s):

Least Squares ◽

Linear Systems ◽

Method Of Least Squares ◽

Overdetermined Linear Systems

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Particularities of overdetermined linear systems arising in particle size analysis

Journal de Physique III ◽

10.1051/jp3:1992198 ◽

1992 ◽

Vol 2 (8) ◽

pp. 1547-1555

Author(s):

D. M. Calistru ◽

R. Mondescu ◽

I. Baltog

Keyword(s):

Particle Size ◽

Linear Systems ◽

Particle Size Analysis ◽

Size Analysis ◽

Overdetermined 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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Sparse Solutions of Underdetermined Linear Systems and Their Applications

10.1137/1.9781611976519 ◽

2021 ◽

Author(s):

Ming-Jun Lai ◽

Yang Wang

Keyword(s):

Linear Systems ◽

Underdetermined Linear Systems ◽

Sparse Solutions

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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 ◽

Author(s):

Wenhua Kang ◽

Hua Xiang

Keyword(s):

Least Squares ◽

Linear Systems ◽

Kronecker Product ◽

Condition Numbers ◽

Least Squares Solution ◽

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Orthant–Monotonic Norms and Overdetermined Linear Systems

Journal of Approximation Theory ◽

10.1006/jath.1996.3024 ◽

1997 ◽

Vol 88 (2) ◽

pp. 209-227

Author(s):

K. Zietak

Keyword(s):

Linear Systems ◽

Overdetermined Linear Systems

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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 ◽

Author(s):

MING-WANG ZHAO ◽

YONG-ZAI LU

Keyword(s):

Parameter Identification ◽

Least Squares ◽

Convergence Analysis ◽

Linear Systems ◽

Least Squares Method ◽

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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Rewighted L1-minimization for sparse solutions to underdetermined linear systems

2013 6th International Congress on Image and Signal Processing (CISP) ◽

10.1109/cisp.2013.6743943 ◽

2013 ◽

Author(s):

Zhengguang Xie ◽

Jianping Hu

Keyword(s):

Linear Systems ◽

L1 Minimization ◽

Underdetermined Linear Systems ◽

Sparse Solutions

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