diff options
Diffstat (limited to 'SRC/dtgsen.f')
| -rw-r--r-- | SRC/dtgsen.f | 14 |
1 files changed, 7 insertions, 7 deletions
diff --git a/SRC/dtgsen.f b/SRC/dtgsen.f index 5c269fd0..583d087f 100644 --- a/SRC/dtgsen.f +++ b/SRC/dtgsen.f @@ -28,7 +28,7 @@ * * DTGSEN reorders the generalized real Schur decomposition of a real * matrix pair (A, B) (in terms of an orthonormal equivalence trans- -* formation Q' * (A, B) * Z), so that a selected cluster of eigenvalues +* formation Q**T * (A, B) * Z), so that a selected cluster of eigenvalues * appears in the leading diagonal blocks of the upper quasi-triangular * matrix A and the upper triangular B. The leading columns of Q and * Z form orthonormal bases of the corresponding left and right eigen- @@ -208,7 +208,7 @@ * In other words, the selected eigenvalues are the eigenvalues of * (A11, B11) in: * -* U'*(A, B)*W = (A11 A12) (B11 B12) n1 +* U**T*(A, B)*W = (A11 A12) (B11 B12) n1 * ( 0 A22),( 0 B22) n2 * n1 n2 n1 n2 * @@ -217,10 +217,10 @@ * (deflating subspaces) of (A, B). * * If (A, B) has been obtained from the generalized real Schur -* decomposition of a matrix pair (C, D) = Q*(A, B)*Z', then the +* decomposition of a matrix pair (C, D) = Q*(A, B)*Z**T, then the * reordered generalized real Schur form of (C, D) is given by * -* (C, D) = (Q*U)*(U'*(A, B)*W)*(Z*W)', +* (C, D) = (Q*U)*(U**T*(A, B)*W)*(Z*W)**T, * * and the first n1 columns of Q*U and Z*W span the corresponding * deflating subspaces of (C, D) (Q and Z store Q*U and Z*W, resp.). @@ -242,10 +242,10 @@ * where sigma-min(Zu) is the smallest singular value of the * (2*n1*n2)-by-(2*n1*n2) matrix * -* Zu = [ kron(In2, A11) -kron(A22', In1) ] -* [ kron(In2, B11) -kron(B22', In1) ]. +* Zu = [ kron(In2, A11) -kron(A22**T, In1) ] +* [ kron(In2, B11) -kron(B22**T, In1) ]. * -* Here, Inx is the identity matrix of size nx and A22' is the +* Here, Inx is the identity matrix of size nx and A22**T is the * transpose of A22. kron(X, Y) is the Kronecker product between * the matrices X and Y. * |