mats.C File Reference

#include <linbox/linbox-config.h>
#include <iostream>
#include <string>
#include <linbox/util/timer.h>
#include <linbox/matrix/dense-matrix.h>
#include <linbox/ring/pir-ntl-zz_p.h>

Include dependency graph for mats.C:

Functions
template<class PIR >
void	Mat (DenseMatrix< PIR > &M, PIR &R, int &n, string src)
	Output matrix is determined by src which may be: "random-rough" This mat will have s, near sqrt(n), distinct invariant factors, each repeated twice), involving the s primes 101, 103, ... More...

Function Documentation

Mat()

void Mat	(	DenseMatrix< PIR > &	M,
		PIR &	R,
		int &	n,
		string	src
	)

Output matrix is determined by src which may be: "random-rough" This mat will have s, near sqrt(n), distinct invariant factors, each repeated twice), involving the s primes 101, 103, ...

"random" This mat will have the same nontrivial invariant factors as diag(1,2,3,5,8, ... 999, 0, 1, 2, ...). "fib" This mat will have the same nontrivial invariant factors as diag(1,2,3,5,8, ... fib(k)), where k is about sqrt(n). The basic matrix is block diagonal with i-th block of order i and being a tridiagonal {-1,0,1} matrix whose snf = diag(i-1 1's, fib(i)), where fib(1) = 1, fib(2) = 2. But note that, depending on n, the last block may be truncated, thus repeating an earlier fibonacci number. "file" (or any other string) Also "tref" and file with format "kdense"