Provided by: msolve_0.6.5-1build2_amd64 
NAME
msolve - computer algebra algorithms for solving polynomial systems
DESCRIPTION
msolve library for polynomial system solving implemented by J. Berthomieu, C. Eder, M. Safey El Din
Basic call:
./msolve -f [FILE1] -o [FILE2]
FILE1 and FILE2 are respectively the input and output files
Standard options
-f FILE File name (mandatory).
-h Prints this help. -o FILE Name of output file. -t THR Number of threads to be used.
Default: 1.
-v n Level of verbosity, 0 - 2
0 - no output (default). 1 - global information at the start and
end of the computation.
2 - detailed output for each step of the
algorithm, e.g. matrix sizes, #pairs, ...
Input file format:
- first line: variables separated by a comma - second line: characteristic of the field - next
lines provide the polynomials (one per line),
separated by a comma (no comma after the final polynomial)
Output file format: When there is no solution in an algebraic closure of the base field [-1]: Where there
are infinitely many solutions in an algebraic closure of the base field: [1, nvars, -1,[]]: Else: Over
prime fields: a rational parametrization of the solutions When input coefficients are rational numbers:
real solutions to the input system (see the -P flag to recover a parametrization of the solutions) See
the msolve tutorial for more details (https://msolve.lip6.fr)
Advanced options:
-F FILE File name encoding parametrizations in binary format.
-g GB Prints reduced Groebner bases of input system for
first prime characteristic w.r.t. grevlex ordering. One element per line is printed, commata
separated. 0 - Nothing is printed. (default) 1 - Leading ideal is printed. 2 - Full reduced
Groebner basis is printed.
-c GEN Handling genericity: If the staircase is not generic
enough, msolve can automatically try to fix this situation via first trying a change of the order
of variables and finally adding a random linear form with a new variable (smallest w.r.t. DRL) 0 -
Nothing is done, msolve quits. 1 - Change order of variables. 2 - Change order of variables,
then try adding a
random linear form. (default)
-C Use sparse-FGLM-col algorithm:
Given an input file with k polynomials compute the quotient of the ideal generated by the first
k-1 polynomials with respect to the kth polynomial.
-e ELIM Define an elimination order: msolve supports two
blocks, each block using degree reverse lexicographical monomial order. ELIM has to be a number
between 1 and #variables-1. The basis the first block eliminated is then computed.
-I Isolates the real roots (provided some univariate data)
without re-computing a Gr??bner basis Default: 0 (no).
-l LIN Linear algebra variant to be applied:
1 - exact sparse / dense 2 - exact sparse (default)
42 - sparse / dense linearization (probabilistic) 44 - sparse linearization (probabilistic)
-m MPR Maximal number of pairs used per matrix.
Default: 0 (unlimited).
-n NF Given n input generators compute normal form of the last NF
elements of the input w.r.t. a degree reverse lexicographical Gr??bner basis of the irst (n - NF)
input elements. At the moment this only works for prime field computations. Combining this
option with the "-i" option assumes that the first (n - NF) elements generate already a degree
reverse lexicographical Gr??bner basis.
-p PRE Precision of the real root isolation.
Default is 32.
-P PAR Get also rational parametrization of solution set.
Default is 0. For a detailed description of the output format please see the general output data
format section above.
-q Q Uses signature-based algorithms.
Default: 0 (no).
-r RED Reduce Groebner basis.
Default: 1 (yes).
-s HTS Initial hash table size given
as power of two. Default: 17.
-S Use f4sat saturation algorithm:
Given an input file with k polynomials compute the saturation of the ideal generated by the first
k-1 polynomials with respect to the kth polynomial.
-u UHT Number of steps after which the
hash table is newly generated. Default: 0, i.e. no update.
msolve library for polynomial system solving implemented by J. Berthomieu, C. Eder, M. Safey El Din
Basic call:
./msolve -f [FILE1] -o [FILE2]
FILE1 and FILE2 are respectively the input and output files
Standard options
-f FILE File name (mandatory).
-h Prints this help. -o FILE Name of output file. -t THR Number of threads to be used.
Default: 1.
-v n Level of verbosity, 0 - 2
0 - no output (default). 1 - global information at the start and
end of the computation.
2 - detailed output for each step of the
algorithm, e.g. matrix sizes, #pairs, ...
Input file format:
- first line: variables separated by a comma - second line: characteristic of the field - next
lines provide the polynomials (one per line),
separated by a comma (no comma after the final polynomial)
Output file format: When there is no solution in an algebraic closure of the base field [-1]: Where there
are infinitely many solutions in an algebraic closure of the base field: [1, nvars, -1,[]]: Else: Over
prime fields: a rational parametrization of the solutions When input coefficients are rational numbers:
real solutions to the input system (see the -P flag to recover a parametrization of the solutions) See
the msolve tutorial for more details (https://msolve.lip6.fr)
Advanced options:
-F FILE File name encoding parametrizations in binary format.
-g GB Prints reduced Groebner bases of input system for
first prime characteristic w.r.t. grevlex ordering. One element per line is printed, commata
separated. 0 - Nothing is printed. (default) 1 - Leading ideal is printed. 2 - Full reduced
Groebner basis is printed.
-c GEN Handling genericity: If the staircase is not generic
enough, msolve can automatically try to fix this situation via first trying a change of the order
of variables and finally adding a random linear form with a new variable (smallest w.r.t. DRL) 0 -
Nothing is done, msolve quits. 1 - Change order of variables. 2 - Change order of variables,
then try adding a
random linear form. (default)
-C Use sparse-FGLM-col algorithm:
Given an input file with k polynomials compute the quotient of the ideal generated by the first
k-1 polynomials with respect to the kth polynomial.
-e ELIM Define an elimination order: msolve supports two
blocks, each block using degree reverse lexicographical monomial order. ELIM has to be a number
between 1 and #variables-1. The basis the first block eliminated is then computed.
-I Isolates the real roots (provided some univariate data)
without re-computing a Gr??bner basis Default: 0 (no).
-l LIN Linear algebra variant to be applied:
1 - exact sparse / dense 2 - exact sparse (default)
42 - sparse / dense linearization (probabilistic) 44 - sparse linearization (probabilistic)
-m MPR Maximal number of pairs used per matrix.
Default: 0 (unlimited).
-n NF Given n input generators compute normal form of the last NF
elements of the input w.r.t. a degree reverse lexicographical Gr??bner basis of the irst (n - NF)
input elements. At the moment this only works for prime field computations. Combining this
option with the "-i" option assumes that the first (n - NF) elements generate already a degree
reverse lexicographical Gr??bner basis.
-p PRE Precision of the real root isolation.
Default is 32.
-P PAR Get also rational parametrization of solution set.
Default is 0. For a detailed description of the output format please see the general output data
format section above.
-q Q Uses signature-based algorithms.
Default: 0 (no).
-r RED Reduce Groebner basis.
Default: 1 (yes).
-s HTS Initial hash table size given
as power of two. Default: 17.
-S Use f4sat saturation algorithm:
Given an input file with k polynomials compute the saturation of the ideal generated by the first
k-1 polynomials with respect to the kth polynomial.
-u UHT Number of steps after which the
hash table is newly generated. Default: 0, i.e. no update.
msolve March 2024 MSOLVE(1)