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On the Roots of a Transcendental Equation
Journal of the London Mathematical Society, 1952S. Sherman
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2629. Roots of a transcendental equation
The Mathematical Gazette, 1956E. M. Wright
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Explicit Solutions for Transcendental Equations
SIAM Review, 2002The approach presented here determines the roots of a transcendental function by locating the singularities of the reciprocal of the function. If an analytic function, \(f(z)\), contains a single simple pole at \(z_0\) somewhere inside \(C\), then the singularity can be removed by multiplying \(f(z)\) by \((z- z_0)\).
James W. Stevens, Rogelio Luck
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Transcendental solutions of diophantine equations
Functional Analysis and Its Applications, 1989See the review in Zbl 0665.30031.
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Complex Roots of a Transcendental Equation
The Mathematical Gazette, 1954A joint paper by Tranter and the present author concerning the heat flow in an infinite medium heated by a sphere has necessitated a proof that no complex zeros of the ...
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An interval iteration for multiple roots of transcendental equations [PDF]
BIT Numerical Mathematics, 1995 Let \(f: X^{(0)}\subseteq {\mathbb{R}}\to {\mathbb{R}}\) be a function which has a multiple root \(x^*\) in the compact interval \(X^{(0)}\). Let the function \(\phi\) be defined on \(X^{(0)}\), and let \(\phi\) generate an iterative method via \(z_{k+ 1}= \phi(z_k)\) which converges to \(x^*\) locally with convergence order \(p\).
Lin, Q, Rokne, JG
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The Solution of Algebraic and Transcendental Equations by Iteration
The Mathematical Gazette, 1953AbstractThis note gives a general 2nd order solution, with the corresponding 3rd order correction, by means of which a good numerical answer can be obtained from an approximate estimate in one operation, and results of high accuracy by one or two iterations.
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Numerical Calculation for Complex Transcendental Equation
Applied Mechanics and Materials, 2012The traditional method to calculate complex transcendental equation is poor, which can't meet requirements of calculating imaginary answer and fast calculation at the same time. This paper proposes "modified dichotomy method" through modifying the classical dichotomy method to solve complex transcendental equation, that can not only calculates ...
Tie Lin Sun, Hui Sun
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Transcendental equation solver: A novel neural network for solving transcendental equation
Applied Soft Computing, 2022Guojun Wang +5 more
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A general method for solving transcendental equations
USSR Computational Mathematics and Mathematical Physics, 1978Abstract A METHOD for solving transcendental equations is described; its convergence is proved, and its correctness analyzed. A numerical example is given.
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