Solving Systems of Transcendental Equations

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

Choose an equation or a system of equations from the popup menu. The first three choices are univariate complex analytic equations, the last one is a pair of real equations not derived from a single complex analytic one. You can move around the rectangle in which the solutions are to be found by choosing the coordinates of its center and its width and height. After choosing the equation (or system of equations) to be solved and the region in which to look for solutions, increase the number of iterations to see the rectangles subdivided and tested for the presence of solutions. When there are no more blue rectangles left, all the solutions contained in the region (if any) will be represented by green points.

Contributed by: Andrzej Kozlowski (March 2011)
Open content licensed under CC BY-NC-SA


Snapshots


Details

For the details of Semenov's algorithm see the related Demonstration "Semenov's Algorithm for Solving Nonlinear Equations" and: V. Yu. Semenov, "The Method of Determining All Real Nonmultiple Roots of Systems of Nonlinear Equations," The Journal of Computational Mathematics and Mathematical Physics, 47(9), 2007 p. 1428.



Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send