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<p>This article presents ‘direct-adjoint-looping’ (DAL), showcasing its effectiveness in optimizing nonlinear dynamical systems. It also tries to demystify the oft-heard term: ‘singular value decomposition’. The need for optimization in dynamical systems and the use of DAL in achieving it is illustrated through a simple example inspired by fluid dynamics. Given the prevalence of dynamical systems, DAL has universal application across various fields. It is hoped that the reader will try this technique to solve problems that they define for themselves.</p>

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Finding Optimal Solutions Using Direct-Adjoint-Looping

  • 期刊论文

  • 发表日期：

    2025年7月1日

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  • Harshit Joshi,
  • Rama Govindarajan

摘要

This article presents ‘direct-adjoint-looping’ (DAL), showcasing its effectiveness in optimizing nonlinear dynamical systems. It also tries to demystify the oft-heard term: ‘singular value decomposition’. The need for optimization in dynamical systems and the use of DAL in achieving it is illustrated through a simple example inspired by fluid dynamics. Given the prevalence of dynamical systems, DAL has universal application across various fields. It is hoped that the reader will try this technique to solve problems that they define for themselves.