Sage Reference Manual: Matrices and Spaces of Matrices - Mirrors

Sage Reference Manual: Matrices and Spaces of Matrices, Release 6.1.1
sage: import sage.matrix.benchmark as b
sage: ts = b.matrix_add_ZZ(200)
sage: tm = b.matrix_add_ZZ(200, system=’magma’)
# optional - magma
sage.matrix.benchmark.matrix_add_ZZ_2(n=200, bits=16, system=’sage’, times=50)
Matrix addition over ZZ. Given an n x n matrix A and B over ZZ with random bits-bit entries, compute A +
B.
INPUT:
•n - matrix dimension (default: 200)
•bits - bitsize of entries
•system - either ‘sage’ or ‘magma’ (default: ‘sage’)
•times - number of experiments (default: 50)
EXAMPLES:
sage: import sage.matrix.benchmark as b
sage: ts = b.matrix_add_ZZ_2(200)
sage: tm = b.matrix_add_ZZ_2(200, system=’magma’)
# optional - magma
sage.matrix.benchmark.matrix_multiply_GF(n=100, p=16411, system=’sage’, times=3)
Given an n x n matrix A over GF(p) with random entries, compute A * (A+1).
INPUT:
•n - matrix dimension (default: 100)
•p - prime number (default: 16411)
•system - either ‘magma’ or ‘sage’ (default: ‘sage’)
•times - number of experiments (default: 3)
EXAMPLES:
sage: import sage.matrix.benchmark as b
sage: ts = b.matrix_multiply_GF(100, p=19)
sage: tm = b.matrix_multiply_GF(100, p=19, system=’magma’)
# optional - magma
sage.matrix.benchmark.matrix_multiply_QQ(n=100, bnd=2, system=’sage’, times=1)
Given an n x n matrix A over QQ with random entries whose numerators and denominators are bounded by bnd,
compute A * (A+1).
INPUT:
•n - matrix dimension (default: 300)
•bnd - numerator and denominator bound (default: bnd)
•system - either ‘sage’ or ‘magma’ (default: ‘sage’)
•times - number of experiments (default: 1)
EXAMPLES:
sage: import sage.matrix.benchmark as b
sage: ts = b.matrix_multiply_QQ(100)
sage: tm = b.matrix_multiply_QQ(100, system=’magma’)
# optional - magma
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