Volume 10, Issue 1
TTSCSP-Based Iteration Methods for Complex Weakly Nonlinear Systems

Tahereh Salimi Siahkolaei & Davod Khojasteh Salkuyeh

East Asian J. Appl. Math., 10 (2020), pp. 1-21.

Published online: 2020-01

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  • Abstract

We present Picard-TTSCSP and nonlinear TTSCSP-like iteration methods for systems of weakly nonlinear equations. These methods require solving two subsystems with constant positive definite coefficient matrices. Such subsystems are solved by the conjugate gradient method. Local convergence of the methods is established and numerical experiments demonstrate the efficiency of the methods.

  • Keywords

Weakly nonlinear system, TTSCSP iteration method, inner/outer iteration scheme.

  • AMS Subject Headings

65F10, 65F50, 65W05

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

salimi_tahereh@ phd.guilan.ac.ir (Tahereh Salimi Siahkolaei)

khojasteh@guilan.ac.ir (Davod Khojasteh Salkuyeh)

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@Article{EAJAM-10-1, author = {Tahereh and Salimi Siahkolaei and salimi_tahereh@ phd.guilan.ac.ir and 6299 and Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran. and Tahereh Salimi Siahkolaei and Davod and Khojasteh Salkuyeh and khojasteh@guilan.ac.ir and 6300 and Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran. and Davod Khojasteh Salkuyeh}, title = {TTSCSP-Based Iteration Methods for Complex Weakly Nonlinear Systems}, journal = {East Asian Journal on Applied Mathematics}, year = {2020}, volume = {10}, number = {1}, pages = {1--21}, abstract = {

We present Picard-TTSCSP and nonlinear TTSCSP-like iteration methods for systems of weakly nonlinear equations. These methods require solving two subsystems with constant positive definite coefficient matrices. Such subsystems are solved by the conjugate gradient method. Local convergence of the methods is established and numerical experiments demonstrate the efficiency of the methods.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.281018.100419}, url = {http://global-sci.org/intro/article_detail/eajam/13575.html} }
TY - JOUR T1 - TTSCSP-Based Iteration Methods for Complex Weakly Nonlinear Systems AU - Salimi Siahkolaei , Tahereh AU - Khojasteh Salkuyeh , Davod JO - East Asian Journal on Applied Mathematics VL - 1 SP - 1 EP - 21 PY - 2020 DA - 2020/01 SN - 10 DO - http://doi.org/10.4208/eajam.281018.100419 UR - https://global-sci.org/intro/article_detail/eajam/13575.html KW - Weakly nonlinear system, TTSCSP iteration method, inner/outer iteration scheme. AB -

We present Picard-TTSCSP and nonlinear TTSCSP-like iteration methods for systems of weakly nonlinear equations. These methods require solving two subsystems with constant positive definite coefficient matrices. Such subsystems are solved by the conjugate gradient method. Local convergence of the methods is established and numerical experiments demonstrate the efficiency of the methods.

TaherehSalimi Siahkolaei & DavodKhojasteh Salkuyeh. (2020). TTSCSP-Based Iteration Methods for Complex Weakly Nonlinear Systems. East Asian Journal on Applied Mathematics. 10 (1). 1-21. doi:10.4208/eajam.281018.100419
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