A Simple Method for Solving the Secular Equation

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  • 永年方程式の簡便な解き方
  • エイネン ホウテイシキ ノ カンベン ナ トキ カタ

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A simple method is proposed for solving the secular equation of the form (λI-a)x=0, where a is a known matrix, I the unit matrix, each of rank n, λ is the unknown eigen-value and x its eigen-function. In the present method, only one set of linear simultaneous equations of degree n needed be solved to get n; eigen values and their eigen-functions. Time and effort to solve this kind of problem will thus be greatly reduced by the present method.

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