% -*- texinfo -*- % @deftypefn {Function File} {@var{c} =} condeig (@var{a}) % @deftypefnx {Function File} {[@var{v}, @var{lambda}, @var{c}] =} condeig (@var{a}) % Compute condition numbers of the eigenvalues of a matrix. The % condition numbers are the reciprocals of the cosines of the angles % between the left and right eigenvectors. % % @subheading Arguments % % @itemize @bullet % @item % @var{a} must be a square numeric matrix. % @end itemize % % @subheading Return values % % @itemize @bullet % @item % @var{c} is a vector of condition numbers of the eigenvalue of % @var{a}. % % @item % @var{v} is the matrix of right eigenvectors of @var{a}. The result is % the same as for @code{[v, lambda] = eig (a)}. % % @item % @var{lambda} is the diagonal matrix of eigenvalues of @var{a}. The % result is the same as for @code{[v, lambda] = eig (a)}. % @end itemize % % @subheading Example % % @example % @group % a = [1, 2; 3, 4]; % c = condeig (a) % @result{} [1.0150; 1.0150] % @end group % @end example % @end deftypefn