Numerical Simulations Laboratory

Solver for all zeros of a complex analytic function that lie within a rectangular region

The purpose of the ZerSol library is the finding all zeros of an analytic function that are contained in a given rectangular region of a complex plane. It is based on the argument principle and recursive subdivisions of the region coupled with the Newton's iterations at the final stage of the search. The ZerSol library assumes that evaluation of the function is expensive and it tries to minimize the number of the function calls by using efficient algorithms and special data structures. The library provides an extensive set of interface functions for the search customization and it outputs detailed diagnostic messages in case of failures. Also, it is supplied with a set of test cases and bindings for C and Fortran users.

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