--- rpl/lapack/lapack/zlatrd.f 2010/12/21 13:53:52 1.7 +++ rpl/lapack/lapack/zlatrd.f 2011/07/22 07:38:18 1.8 @@ -1,9 +1,9 @@ SUBROUTINE ZLATRD( UPLO, N, NB, A, LDA, E, TAU, W, LDW ) * -* -- LAPACK auxiliary routine (version 3.2) -- +* -- LAPACK auxiliary 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 UPLO @@ -19,7 +19,7 @@ * * ZLATRD reduces NB rows and columns of a complex Hermitian matrix A to * Hermitian tridiagonal form by a unitary similarity -* transformation Q' * A * Q, and returns the matrices V and W which are +* transformation Q**H * A * Q, and returns the matrices V and W which are * needed to apply the transformation to the unreduced part of A. * * If UPLO = 'U', ZLATRD reduces the last NB rows and columns of a @@ -96,7 +96,7 @@ * * Each H(i) has the form * -* H(i) = I - tau * v * v' +* H(i) = I - tau * v * v**H * * where tau is a complex scalar, and v is a complex vector with * v(i:n) = 0 and v(i-1) = 1; v(1:i-1) is stored on exit in A(1:i-1,i), @@ -109,7 +109,7 @@ * * Each H(i) has the form * -* H(i) = I - tau * v * v' +* H(i) = I - tau * v * v**H * * where tau is a complex scalar, and v is a complex vector with * v(1:i) = 0 and v(i+1) = 1; v(i+1:n) is stored on exit in A(i+1:n,i), @@ -118,7 +118,7 @@ * The elements of the vectors v together form the n-by-nb matrix V * which is needed, with W, to apply the transformation to the unreduced * part of the matrix, using a Hermitian rank-2k update of the form: -* A := A - V*W' - W*V'. +* A := A - V*W**H - W*V**H. * * The contents of A on exit are illustrated by the following examples * with n = 5 and nb = 2: