--- rpl/lapack/lapack/ztgsna.f 2010/12/21 13:53:57 1.7 +++ rpl/lapack/lapack/ztgsna.f 2011/07/22 07:38:21 1.8 @@ -2,10 +2,10 @@ $ LDVL, VR, LDVR, S, DIF, MM, M, WORK, LWORK, $ IWORK, INFO ) * -* -- LAPACK routine (version 3.2) -- +* -- LAPACK routine (version 3.3.1) -- * -- LAPACK is a software package provided by Univ. of Tennessee, -- * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- -* November 2006 +* -- April 2011 -- * * .. Scalar Arguments .. CHARACTER HOWMNY, JOB @@ -132,12 +132,12 @@ * The reciprocal of the condition number of the i-th generalized * eigenvalue w = (a, b) is defined as * -* S(I) = (|v'Au|**2 + |v'Bu|**2)**(1/2) / (norm(u)*norm(v)) +* S(I) = (|v**HAu|**2 + |v**HBu|**2)**(1/2) / (norm(u)*norm(v)) * * where u and v are the right and left eigenvectors of (A, B) * corresponding to w; |z| denotes the absolute value of the complex * number, and norm(u) denotes the 2-norm of the vector u. The pair -* (a, b) corresponds to an eigenvalue w = a/b (= v'Au/v'Bu) of the +* (a, b) corresponds to an eigenvalue w = a/b (= v**HAu/v**HBu) of the * matrix pair (A, B). If both a and b equal zero, then (A,B) is * singular and S(I) = -1 is returned. * @@ -166,7 +166,7 @@ * Zl = [ kron(a, In-1) -kron(1, A22) ] * [ kron(b, In-1) -kron(1, B22) ]. * -* Here In-1 is the identity matrix of size n-1 and X' is the conjugate +* Here In-1 is the identity matrix of size n-1 and X**H is the conjugate * transpose of X. kron(X, Y) is the Kronecker product between the * matrices X and Y. *