question: public int rank ( ) { double eps = Math . pow ( 2.0 , - 52.0 ) ; double tol = Math . max ( m , n ) * s [ 0 ] * eps ; int r = 0 ; for ( int i = 0 ; i < s . length ; i ++ ) { if ( s [ i ] > tol ) { r ++ ; } } return r ; }
target:  Effective numerical matrix rank