PHCmaple: A Maple Interface to the Numerical Homotopy Algorithms in PHCpack∗
نویسندگان
چکیده
Our Maple package PHCmaple provides a convenient interface to the functions of PHCpack, a collection of numeric algorithms for solving polynomial systems using polynomial homotopy continuation, which was recently extended with facilities to deal with positive dimensional solution sets. The interface illustrates the benefits of linking computer algebra with numerical software. PHCmaple serves as a first step in a larger project to integrate a numerical solver in a computer algebra system.
منابع مشابه
Interfacing with the Numerical Homotopy Algorithms in PHCpack
Our Maple package PHCmaple came to existence in 2004 when it provided a convenient interface to the basic functionality of phc, a program which is a part of PHCpack and implements numeric algorithms for solving polynomial systems using polynomial homotopy continuation. Following the recent development of PHCpack the package has been extended with functions that deal with singular polynomial sys...
متن کاملGenerating A Mathematical Web Service Client With xfy
We have developed a probabilistic method that uses numerical polynomial homotopy continuation to compute Galois groups of Schubert problems. Our implementation of the method produced answers to the questions considered inaccessible by other techniques. The problem of computing all solutions of a system of polynomial equations may be solved using numerical polynomial homotopy continuation [10]. ...
متن کاملNumerical Irreducible Decomposition Using PHCpack
Homotopy continuation methods have proven to be reliable and efficient to approximate all isolated solutions of polynomial systems. In this paper we show how we can use this capability as a blackbox device to solve systems which have positive dimensional components of solutions. We indicate how the software package PHCpack can be used in conjunction with Maple and programs written in C. We desc...
متن کاملPHCpack in Macaulay
The Macaulay2 package PHCpack provides an interface to PHCpack, a generalpurpose polynomial system solver that uses homotopy continuation. The main method is a numerical blackbox solver which is implemented for all Laurent systems. The package also provides a fast mixed volume computation, the ability to filter solutions, homotopy path tracking, and a numerical irreducible decomposition method....
متن کاملPHCpack in Macaulay2
The Macaulay2 package PHCpack provides an interface to PHCpack, a generalpurpose polynomial system solver that uses homotopy continuation. The main method is a numerical blackbox solver which is implemented for all Laurent systems. The package also provides a fast mixed volume computation, the ability to filter solutions, homotopy path tracking, and a numerical irreducible decomposition method....
متن کامل