Calculations
Averages of products of matrix elements in the circular ensembles can be calculated using Weingarten functions. For large dimension of the matrix these calculations become impractical, and a numerical method is advantageous. There exist efficient algorithms to generate random matrices in the circular ensembles.
Read more about this topic: Circular Ensemble
Famous quotes containing the word calculations:
“Heaven’s calculations don’t follow man’s calculations.”
—Chinese proverb.
“What, really, is wanted from a neighborhood? Convenience, certainly, an absence of major aggravation, to be sure. But perhaps most of all, ideally, what is wanted is a comfortable background, a breathing space of intermission between the intensities of private life and the calculations of public life.”
—Joseph Epstein (b. 1937)
“Nowhere are our calculations more frequently upset than in war.”
—Titus Livius (Livy)