Sage Reference Manual: Matrices and Spaces of Matrices - Mirrors

Sage Reference Manual: Matrices and Spaces of Matrices, Release 6.1.1
INPUT:
•n - matrix dimension (default: 300)
•min - minimal value for entries of matrix (default: -9)
•max - maximal value for entries of matrix (default: 9)
•system - either ‘sage’ or ‘magma’ (default: ‘sage’)
EXAMPLES:
sage: import sage.matrix.benchmark as b
sage: ts = b.inverse_QQ(100)
sage: tm = b.inverse_QQ(100, system=’magma’)
# optional - magma
sage.matrix.benchmark.invert_hilbert_QQ(n=40, system=’sage’)
Runs the benchmark for calculating the inverse of the hilbert matrix over rationals of dimension n.
INPUT:
•n - matrix dimension (default: 300)
•system - either ‘sage’ or ‘magma’ (default: ‘sage’)
EXAMPLES:
sage: import sage.matrix.benchmark as b
sage: ts = b.invert_hilbert_QQ(30)
sage: tm = b.invert_hilbert_QQ(30, system=’magma’)
# optional - magma
sage.matrix.benchmark.matrix_add_GF(n=1000, p=16411, system=’sage’, times=100)
Given two n x n matrix over GF(p) with random entries, add them.
INPUT:
•n - matrix dimension (default: 300)
•p - prime number (default: 16411)
•system - either ‘magma’ or ‘sage’ (default: ‘sage’)
•times - number of experiments (default: 100)
EXAMPLES:
sage: import sage.matrix.benchmark as b
sage: ts = b.matrix_add_GF(500, p=19)
sage: tm = b.matrix_add_GF(500, p=19, system=’magma’)
# optional - magma
sage.matrix.benchmark.matrix_add_ZZ(n=200, min=-9, max=9, system=’sage’, times=50)
Matrix addition over ZZ Given an n x n matrix A and B over ZZ with random entries between min and max,
inclusive, compute A + B times times.
INPUT:
•n - matrix dimension (default: 200)
•min - minimal value for entries of matrix (default: -9)
•max - maximal value for entries of matrix (default: 9)
•system - either ‘sage’ or ‘magma’ (default: ‘sage’)
•times - number of experiments (default: 50)
EXAMPLES:
416 Chapter 24. Benchmarks for matrices