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Least-squares optimisation of numerical inversion of Laplace transforms

Least-squares optimisation of numerical inversion of Laplace transforms

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© The Institution of Electrical Engineers
Published

A scheme for computing optimal values of the constants occurring in the numerical inversion of Laplace transforms is developed. The scheme employs the techniques of linear least-squares theory and is used to compute real-valued constants.

Inspec keywords: numerical methods; Laplace transforms; optimisation; least squares approximations

Other keywords: Laplace transforms; computation; numerical methods; least squares optimization; optimization; inversion

Subjects: Integral transforms; Integral transforms; Numerical analysis

References

    1. 1)
      • V. Zakian . Optimization of numerical inversion of Laplace transforms. Electron. Lett. , 677 - 679
    2. 2)
      • Kautz, W.H.: `Network synthesis for specified transient response', report 209, MIT Research Laboratory of Electronics technical, 1952.
    3. 3)
      • V. Zakian . Numerical inversion of Laplace transforms. Electron. Lett. , 120 - 121
    4. 4)
      • W.H. Kautz . Transient synthesis in the time domain. IRE Trans. , 29 - 39
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