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<p>Polynomial interval eigenvalue problems in a bounded uncertain environment are studied in this article. Here, the polynomial function has the complex Hermitian interval matrix coefficients. We have computed the eigenvalue enclosures (as new theorems) for the polynomial eigenvalue problem with complex Hermitian interval matrices. We have discussed the computational complexity of the proposed method and analyzed the tightness of different eigenvalue enclosures. Demonstrations are made for the present problem in the system of ordinary differential equations that appears in a dynamical system with bounded uncertainty.</p>

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Enclosure for the polynomial eigenvalue problems of complex Hermitian interval matrices and their appearances in dynamical phenomenon having bounded uncertainty

  • 期刊论文

  • 发表日期：

    2025年5月7日

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  • Suman Maiti,
  • Snehashish Chakraverty

摘要

Polynomial interval eigenvalue problems in a bounded uncertain environment are studied in this article. Here, the polynomial function has the complex Hermitian interval matrix coefficients. We have computed the eigenvalue enclosures (as new theorems) for the polynomial eigenvalue problem with complex Hermitian interval matrices. We have discussed the computational complexity of the proposed method and analyzed the tightness of different eigenvalue enclosures. Demonstrations are made for the present problem in the system of ordinary differential equations that appears in a dynamical system with bounded uncertainty.