Figure Properties - SERC

gallery
2-930
Test Matrices (Continued)
toeppd tridiag triw vander
wathen wilk
cauchy—Cauchy matrix
C = gallery('cauchy',x,y) returns an n-by-n matrix,
C(i,j) = 1/(x(i)+y(j)). Arguments x and y are vectors of length n. If you
pass in scalars for x and y, they are interpreted as vectors 1:x and 1:y.
C = gallery('cauchy',x) returns the same as above with y = x. That is, the
command returns C(i,j) = 1/(x(i)+x(j)).
Explicit formulas are known for the inverse and determinant of a Cauchy
matrix. The determinant det(C) is nonzero if x and y both have distinct
elements. C is totally positive if 0 < x(1)