Meiqin Li, Bingbing Ji, Jianxin Zhou
Abstract:
In this article we establish a double-orthogonal principle,
and a local min-orthogonal method with its step size rule, and its
convergence under assumptions more general than those in its previous versions.
With such a general framework, we justify mathematically the two new
algorithms proposed for solving W-type problems.
Numerical examples for finding multiple solutions to W-type and to
mixed M-W-type problems illustrate the flexibility of this method.
Published March 27, 2023.
Math Subject Classifications: 35B38, 58E05, 65N20.
Key Words: Multiple solution; numerical algorithms; convergence analysis.
DOI: https://doi.org/10.58997/ejde.sp.02.l1
Show me the PDF file (1568 K), TEX file for this article.
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Meiqin Li School of Engineering University of Virginia Charlottesville, VA 22904, USA email: ml2vq@virginia.edu |
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Bingbing Ji MicroStrategy Inc. Tysons Corner VA 22182 USA email: bingbing.tamu@gmail.com |
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Jianxin Zhou Texas A&M University College Station, TX 77843, USA email: jzhou@math.tamu.edu |
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