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<p>We study the convergence of two-step Ulm-Chebyshev-like method for solving the inverse singular value problems. We focus on the case when the given singular values are positive and multiple. This work extends the result of W. Ma (2022). We show that the new method is cubically convergent. Moreover, numerical experiments are given in the last section, which show that the proposed method is practical and efficient.</p>

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Two-step Ulm-Chebyshev-like method for inverse singular value problems with multiple singular values

  • 期刊论文

  • 发表日期：

    2025年2月18日

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  • Wei Ma,
  • Yuqing Zhu,
  • Yawei Dang

摘要

We study the convergence of two-step Ulm-Chebyshev-like method for solving the inverse singular value problems. We focus on the case when the given singular values are positive and multiple. This work extends the result of W. Ma (2022). We show that the new method is cubically convergent. Moreover, numerical experiments are given in the last section, which show that the proposed method is practical and efficient.