Compact quasi‐Newton preconditioners for symmetric positive definite linear systems

Luca Bergamaschi; José Marín; Ángeles Martínez

doi:10.1002/nla.2322

Compact quasi‐Newton preconditioners for symmetric positive definite linear systems

Numerical Linear Algebra with Applications ◽

10.1002/nla.2322 ◽

2020 ◽

Vol 27 (6) ◽

Author(s):

Luca Bergamaschi ◽

José Marín ◽

Ángeles Martínez

Keyword(s):

Linear Systems ◽

Positive Definite ◽

Symmetric Positive Definite ◽

Quasi Newton

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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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Riemannian Gradient-Based Online Identification Method for Linear Systems with Symmetric Positive-Definite Matrix

2019 IEEE 58th Conference on Decision and Control (CDC) ◽

10.1109/cdc40024.2019.9030228 ◽

2019 ◽

Author(s):

Hiroyuki Sato ◽

Kazuhiro Sato

Keyword(s):

Linear Systems ◽

Positive Definite Matrix ◽

Positive Definite ◽

Symmetric Positive Definite Matrix ◽

Online Identification ◽

Symmetric Positive Definite ◽

Identification Method ◽

Gradient Based

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A Block FSAI-ILU Parallel Preconditioner for Symmetric Positive Definite Linear Systems

SIAM Journal on Scientific Computing ◽

10.1137/090779760 ◽

2010 ◽

Vol 32 (5) ◽

pp. 2468-2484 ◽

Cited By ~ 40

Author(s):

Carlo Janna ◽

Massimilano Ferronato ◽

Giuseppe Gambolati

Keyword(s):

Linear Systems ◽

Positive Definite ◽

Symmetric Positive Definite

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On Partial Cholesky Factorization and a Variant of Quasi-Newton Preconditioners for Symmetric Positive Definite Matrices

Axioms ◽

10.3390/axioms7030044 ◽

2018 ◽

Vol 7 (3) ◽

pp. 44 ◽

Cited By ~ 1

Author(s):

Benedetta Morini

Keyword(s):

Positive Definite ◽

Cholesky Factorization ◽

Positive Definite Matrices ◽

Symmetric Positive Definite ◽

Symmetric Positive Definite Matrices ◽

Quasi Newton

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Block SOR two-stage iterative methods for solution of symmetric positive definite linear systems

2010 3rd International Conference on Advanced Computer Theory and Engineering(ICACTE) ◽

10.1109/icacte.2010.5578996 ◽

2010 ◽

Cited By ~ 1

Author(s):

Fang Cai ◽

Jie Xiao ◽

Zhao-Hong Xiang

Keyword(s):

Linear Systems ◽

Iterative Methods ◽

Positive Definite ◽

Two Stage ◽

Symmetric Positive Definite

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Generalizations of the nonstationary multisplitting iterative method for symmetric positive definite linear systems

Applied Mathematics and Computation ◽

10.1016/j.amc.2009.12.033 ◽

2010 ◽

Vol 216 (6) ◽

pp. 1707-1714

Author(s):

Rui-Ping Wen ◽

Chuan-Long Wang ◽

Xi-Hong Yan

Keyword(s):

Iterative Method ◽

Linear Systems ◽

Positive Definite ◽

Symmetric Positive Definite

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A sparse preconditioner for symmetric positive definite banded circulant and toeplitz linear systems

International Journal of Computer Mathematics ◽

10.1080/00207169408804354 ◽

1994 ◽

Vol 54 (3-4) ◽

pp. 229-238 ◽

Cited By ~ 3

Author(s):

David J. Evans ◽

Dušan Caf

Keyword(s):

Linear Systems ◽

Positive Definite ◽

Symmetric Positive Definite

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Two lopsided TSCSP (LTSCSP) iteration methods for solution of complex symmetric positive definite linear systems

Engineering With Computers ◽

10.1007/s00366-020-01126-4 ◽

2020 ◽

Author(s):

Mehdi Dehghan ◽

Akbar Shirilord

Keyword(s):

Linear Systems ◽

Positive Definite ◽

Symmetric Positive Definite ◽

Iteration Methods ◽

Complex Symmetric

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A derivation of the Levinson algorithm for solving linear systems with symmetric positive definite Toeplitz matrix

Journal of Computational and Applied Mathematics ◽

10.1016/0771-050x(76)90041-3 ◽

1976 ◽

Vol 2 (1) ◽

pp. 63-65 ◽

Cited By ~ 1

Author(s):

R. De Meersman

Keyword(s):

Linear Systems ◽

Toeplitz Matrix ◽

Positive Definite ◽

Symmetric Positive Definite ◽

Levinson Algorithm

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A Parallel Multi-threaded Solver for Symmetric Positive Definite Bordered-Band Linear Systems

Parallel Processing and Applied Mathematics - Lecture Notes in Computer Science ◽

10.1007/978-3-319-32149-3_10 ◽

2016 ◽

pp. 96-105

Author(s):

Peter Benner ◽

Pablo Ezzatti ◽

Enrique S. Quintana-Ortí ◽

Alfredo Remón

Keyword(s):

Linear Systems ◽

Positive Definite ◽

Symmetric Positive Definite

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