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Iterative Methods for Solving New Generalized Absolute Value Equations

  • Shubham Kumar
  • Joydip Dhar
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Abstract

In this paper, we propose two iterative methods, the modified Picard method (MPM) and the generalized Traub method (GTM), to solve a new generalized absolute value equation (NGAVE). We establish their convergence under appropriate assumptions. Additionally, numerical examples demonstrate the effectiveness and applicability of the developed algorithms.

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Cite

BibTeXRIS
BibTeX
@misc{kumar2026iterative,
  title = {{Iterative Methods for Solving New Generalized Absolute Value Equations}},
  author = {Shubham Kumar and Joydip Dhar},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.39933},
  eprint = {2610.39933},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.39933},
}
RIS
TY  - UNPB
TI  - Iterative Methods for Solving New Generalized Absolute Value Equations
AU  - Shubham Kumar
AU  - Joydip Dhar
PY  - 2026
DA  - 2026/10/29
PB  - arXiv
DO  - 10.48550/arxiv.2610.39933
UR  - https://arxiv.org/abs/2610.39933
AB  - In this paper, we propose two iterative methods, the modified Picard method (MPM) and the generalized Traub method (GTM), to solve a new generalized absolute value equation (NGAVE). We establish their convergence under appropriate assumptions. Additionally, numerical examples demonstrate the effectiveness and applicability of the developed algorithms.
ER  -