Mercurial > hg > octave-kai
changeset 5481:65e02518f4f5
[project @ 2005-10-04 17:12:08 by jwe]
author | jwe |
---|---|
date | Tue, 04 Oct 2005 17:12:08 +0000 |
parents | cbd2443dc475 |
children | 6bbfc37975d2 |
files | src/DLD-FUNCTIONS/qz.cc |
diffstat | 1 files changed, 18 insertions(+), 16 deletions(-) [+] |
line wrap: on
line diff
--- a/src/DLD-FUNCTIONS/qz.cc +++ b/src/DLD-FUNCTIONS/qz.cc @@ -225,7 +225,7 @@ @item @code{[AA, BB, Q, Z, V, W, lambda] = qz (A, B)}\n\ \n\ Computes qz decomposition, generalized eigenvectors, and \n\ - generalized eigenvalues of @math{(A - sB)}\n\ +generalized eigenvalues of @math{(A - sB)}\n\ @iftex\n\ @tex\n\ $$ AV = BV{ \\rm diag }(\\lambda) $$\n\ @@ -236,9 +236,11 @@ @ifinfo\n\ @example\n\ @group\n\ - A*V = B*V*diag(lambda)\n\ - W'*A = diag(lambda)*W'*B\n\ - AA = Q'*A*Z, BB = Q'*B*Z\n\ +\n\ + A*V = B*V*diag(lambda)\n\ + W'*A = diag(lambda)*W'*B\n\ + AA = Q'*A*Z, BB = Q'*B*Z\n\ +\n\ @end group\n\ @end example\n\ @end ifinfo\n\ @@ -247,36 +249,36 @@ @item @code{[AA,BB,Z@{, lambda@}] = qz(A,B,opt)}\n\ \n\ As in form [2], but allows ordering of generalized eigenpairs\n\ - for (e.g.) solution of discrete time algebraic Riccati equations.\n\ - Form 3 is not available for complex matrices, and does not compute\n\ - the generalized eigenvectors @var{V}, @var{W}, nor the orthogonal matrix @var{Q}.\n\ +for (e.g.) solution of discrete time algebraic Riccati equations.\n\ +Form 3 is not available for complex matrices, and does not compute\n\ +the generalized eigenvectors @var{V}, @var{W}, nor the orthogonal matrix @var{Q}.\n\ @table @var\n\ @item opt\n\ - for ordering eigenvalues of the GEP pencil. The leading block\n\ - of the revised pencil contains all eigenvalues that satisfy:\n\ +for ordering eigenvalues of the GEP pencil. The leading block\n\ +of the revised pencil contains all eigenvalues that satisfy:\n\ @table @code\n\ @item \"N\"\n\ - = unordered (default) \n\ += unordered (default) \n\ \n\ @item \"S\"\n\ = small: leading block has all |lambda| <=1 \n\ \n\ @item \"B\"\n\ - = big: leading block has all |lambda >= 1 \n\ += big: leading block has all |lambda| >= 1 \n\ \n\ @item \"-\"\n\ - = negative real part: leading block has all eigenvalues\n\ - in the open left half-plant\n\ += negative real part: leading block has all eigenvalues\n\ +in the open left half-plane\n\ \n\ @item \"+\"\n\ - = nonnegative real part: leading block has all eigenvalues\n\ - in the closed right half-plane\n\ += nonnegative real part: leading block has all eigenvalues\n\ +in the closed right half-plane\n\ @end table\n\ @end table\n\ @end enumerate\n\ \n\ Note: qz performs permutation balancing, but not scaling (see balance).\n\ - Order of output arguments was selected for compatibility with MATLAB\n\ +Order of output arguments was selected for compatibility with MATLAB\n\ \n\ @seealso{balance, dare, eig, schur}\n\ @end deftypefn")