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Alternating direction implicit iterative method for solving indefinite least squares problem

delete2025-07-09
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PRE
AI
L
Lingsheng Meng
P
Peizhe Li *
K
Kailiang Xin
DOI：10.1016/j.aml.2025.109677delete
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Abstract

Abstract

En 中文
• GSP method developed by extending the Zhang-Li SP approach, establishes unconditional convergence (spectral radius ρ<1) under the condition η>0, thereby providing theoretical foundations for ADI methods. • Dual-parameter ADI method ensures convergence for indefinite least squares via block splitting with β>α>0. • Sparse-system optimized solver avoids dense matrix operations while maintaining provable spectral radius <1 convergence.
Keywords:
GSP method
ADI methods
convergence
indefinite least squares
sparse-system solver

Journal

Applied Mathematics Letters cover
Applied Mathematics Letters
IF:
2.8
Papers:
466
Citations:
1.1W

Organization

No organization information available