Sage Reference Manual: Matrices and Spaces of Matrices - Mirrors

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Sage Reference Manual: Matrices and Spaces of Matrices, Release 6.1.1 sage: import sage.matrix.benchmark as b sage: ts = b.rank2_ZZ(300) sage: tm = b.rank2_ZZ(300, system=’magma’) # optional - magma sage.matrix.benchmark.rank_GF(n=500, p=16411, system=’sage’) Rank over GF(p): Given a n x (n+10) matrix over GF(p) with random entries, compute the rank. INPUT: •n - matrix dimension (default: 300) •p - prime number (default: 16411) •system - either ‘magma’ or ‘sage’ (default: ‘sage’) EXAMPLES: sage: import sage.matrix.benchmark as b sage: ts = b.rank_GF(1000) sage: tm = b.rank_GF(1000, system=’magma’) # optional - magma sage.matrix.benchmark.rank_ZZ(n=700, min=0, max=9, system=’sage’) Rank over ZZ: Given a n x (n+10) matrix over ZZ with random entries between min and max, compute the rank. INPUT: •n - matrix dimension (default: 700) •min - minimal value for entries of matrix (default: 0) •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.rank_ZZ(300) sage: tm = b.rank_ZZ(300, system=’magma’) # optional - magma sage.matrix.benchmark.report(F, title, systems=[’sage’, ‘magma’], **kwds) Run benchmarks with default arguments for each function in the list F. INPUT: •F - a list of callables used for benchmarking •title - a string describing this report •systems - a list of systems (supported entries are ‘sage’ and ‘magma’) •**kwds - keyword arguments passed to all functions in F EXAMPLES: sage: import sage.matrix.benchmark as b sage: print "starting"; import sys; sys.stdout.flush(); b.report([b.det_ZZ], ’Test’, systems=[’s starting... ====================================================================== Test ====================================================================== ... ====================================================================== 420 Chapter 24. Benchmarks for matrices
Sage Reference Manual: Matrices and Spaces of Matrices, Release 6.1.1 sage.matrix.benchmark.report_GF(p=16411, **kwds) Runs all the reports for finite field matrix operations, for prime p=16411. INPUT: •p - ignored •**kwds - passed through to report() Note: right now, even though p is an input, it is being ignored! If you need to check the performance for other primes, you can call individual benchmark functions. EXAMPLES: sage: import sage.matrix.benchmark as b sage: print "starting"; import sys; sys.stdout.flush(); b.report_GF(systems=[’sage’]) starting... ====================================================================== Dense benchmarks over GF with prime 16411 ====================================================================== ... ====================================================================== sage.matrix.benchmark.report_ZZ(**kwds) Reports all the benchmarks for integer matrices and few rational matrices. INPUT: •**kwds - passed through to report() EXAMPLES: sage: import sage.matrix.benchmark as b sage: print "starting"; import sys; sys.stdout.flush(); b.report_ZZ(systems=[’sage’]) starting... ====================================================================== Dense benchmarks over ZZ ====================================================================== ... ====================================================================== # long ti sage.matrix.benchmark.smithform_ZZ(n=128, min=0, max=9, system=’sage’) Smith Form over ZZ: Given a n x n matrix over ZZ with random entries between min and max, compute the Smith normal form. INPUT: •n - matrix dimension (default: 128) •min - minimal value for entries of matrix (default: 0) •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.smithform_ZZ(100) sage: tm = b.smithform_ZZ(100, system=’magma’) # optional - magma sage.matrix.benchmark.vecmat_ZZ(n=300, min=-9, max=9, system=’sage’, times=200) Vector matrix multiplication over ZZ. 421
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