Annotation of OpenXM_contrib/PHC/Ada/Homotopy/READ_ME, Revision 1.1.1.1
1.1 maekawa 1: Polynomial homotopies, solutions of systems, scaling and reduction in PHCv2.
2:
3: New in this release is the capability of dealing with solution vectors of
4: multi-precision numbers.
5: The Creators in the package Homotopy allow more accessibility constants for
6: the Cheater's homotopy.
7:
8: This library is organized in three parts:
9: 1) Representation of solutions of families of systems.
10: 2) Homotopy with homogenization
11: 3) Scaling and reduction of polynomial systems.
12:
13: --------------------------------------------------------------------------------
14: file name : short description
15: --------------------------------------------------------------------------------
16: standard_complex_solutions : standard solutions to families of systems
17: standard_complex_solutions_io : input/output of standard solutions
18: multprec_complex_solutions : multprec solutions to families of systems
19: multprec_complex_solutions_io : input/output of multprec solutions
20: --------------------------------------------------------------------------------
21: homogenization : making polynomials homogeneous
22: projective_transformations : transform polynomials and solutions
23: homotopy : management of homotopy
24: drivers_for_homotopy_creation : menu-driven homotopy construction
25: --------------------------------------------------------------------------------
26: scaling : scaling systems and solutions
27: drivers_for_scaling : menu-driver for scaling routines
28: ts_drivscal : calls the driver
29: mainscal : scaling tool, as called by phc
30: reduction_of_polynomials : S-polynomials and R-polynomials
31: reduction_of_polynomial_systems : linear and nonlinear reduction
32: reduction_of_nonsquare_systems : transform overconstrained into square
33: drivers_for_reduction : menu-drivers for reducing systems
34: mainred : reduction tool, as called by phc
35: --------------------------------------------------------------------------------
36:
37: The standard and multi-precision solutions lists are two separate packages,
38: not implemented by means of generics, because of the difficulties with
39: mixed real-complex numbers.
40:
41: wc *adb counts 4818 lines of Ada code
42:
43: Note: some little tools have been added to manipulate lists of solutions.
44:
45: grepsols : make a selection from a list of solutions
46: mergesols : merge the list of solutions
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