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A new class of quite elementary closed-form integral formulae for roots of nonlinear equations

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Publication:1115106
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DOI10.1016/0096-3003(89)90101-XzbMath0664.65045OpenAlexW2092772350MaRDI QIDQ1115106

N. I. Iokimidis, K. E. Papadakis

Publication date: 1989

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(89)90101-x


zbMATH Keywords

rate of convergencenonlinear equationNumerical experimentsfinite intervalKepler equationnumber of rootssign functionsimple rootKronecker-Picard method


Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)


Related Items (1)

Selective solutions to transcendental equations



Cites Work

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  • A unified Riemann-Hilbert approach to the analytical determination of zeros of sectionally analytic functions
  • A new simple method for the analytical solution of Kepler's equation
  • Two elementary analytical formulae for roots of nonlinear equations
  • Exact Inversion of Dispersion Relations
  • An exact analytical solution of Kepler's equation


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