--- rpl/lapack/lapack/zggrqf.f 2010/12/21 13:53:45 1.7 +++ rpl/lapack/lapack/zggrqf.f 2011/07/22 07:38:14 1.8 @@ -1,10 +1,10 @@ SUBROUTINE ZGGRQF( M, P, N, A, LDA, TAUA, B, LDB, TAUB, WORK, $ LWORK, 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 .. INTEGER INFO, LDA, LDB, LWORK, M, N, P @@ -40,9 +40,9 @@ * In particular, if B is square and nonsingular, the GRQ factorization * of A and B implicitly gives the RQ factorization of A*inv(B): * -* A*inv(B) = (R*inv(T))*Z' +* A*inv(B) = (R*inv(T))*Z**H * -* where inv(B) denotes the inverse of the matrix B, and Z' denotes the +* where inv(B) denotes the inverse of the matrix B, and Z**H denotes the * conjugate transpose of the matrix Z. * * Arguments @@ -118,7 +118,7 @@ * * Each H(i) has the form * -* H(i) = I - taua * v * v' +* H(i) = I - taua * v * v**H * * where taua is a complex scalar, and v is a complex vector with * v(n-k+i+1:n) = 0 and v(n-k+i) = 1; v(1:n-k+i-1) is stored on exit in @@ -132,7 +132,7 @@ * * Each H(i) has the form * -* H(i) = I - taub * v * v' +* H(i) = I - taub * v * v**H * * where taub is a complex scalar, and v is a complex vector with * v(1:i-1) = 0 and v(i) = 1; v(i+1:p) is stored on exit in B(i+1:p,i), @@ -193,7 +193,7 @@ CALL ZGERQF( M, N, A, LDA, TAUA, WORK, LWORK, INFO ) LOPT = WORK( 1 ) * -* Update B := B*Q' +* Update B := B*Q**H * CALL ZUNMRQ( 'Right', 'Conjugate Transpose', P, N, MIN( M, N ), $ A( MAX( 1, M-N+1 ), 1 ), LDA, TAUA, B, LDB, WORK,