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<p>We give a simple proof of the well known fact that the approximate eigenvalues provided by the Rayleigh-Ritz method are increasingly accurate upper bounds to the exact ones. To this end, we resort to the variational principle and to a set of suitable projection operators.</p>

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On the Rayleigh-Ritz method

  • 期刊论文

  • 发表日期：

    2025年1月29日

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  • Francisco M. Fernández

摘要

We give a simple proof of the well known fact that the approximate eigenvalues provided by the Rayleigh-Ritz method are increasingly accurate upper bounds to the exact ones. To this end, we resort to the variational principle and to a set of suitable projection operators.