SUBROUTINE DLASET( UPLO, M, N, ALPHA, BETA, A, LDA ) ! ! -- LAPACK auxiliary routine (version 3.1) -- ! Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. ! November 2006 ! ! .. Scalar Arguments .. CHARACTER UPLO INTEGER LDA, M, N DOUBLE PRECISION ALPHA, BETA ! .. ! .. Array Arguments .. DOUBLE PRECISION A( LDA, * ) ! .. ! ! Purpose ! ======= ! ! DLASET initializes an m-by-n matrix A to BETA on the diagonal and ! ALPHA on the offdiagonals. ! ! Arguments ! ========= ! ! UPLO (input) CHARACTER*1 ! Specifies the part of the matrix A to be set. ! = 'U': Upper triangular part is set; the strictly lower ! triangular part of A is not changed. ! = 'L': Lower triangular part is set; the strictly upper ! triangular part of A is not changed. ! Otherwise: All of the matrix A is set. ! ! M (input) INTEGER ! The number of rows of the matrix A. M >= 0. ! ! N (input) INTEGER ! The number of columns of the matrix A. N >= 0. ! ! ALPHA (input) DOUBLE PRECISION ! The constant to which the offdiagonal elements are to be set. ! ! BETA (input) DOUBLE PRECISION ! The constant to which the diagonal elements are to be set. ! ! A (input/output) DOUBLE PRECISION array, dimension (LDA,N) ! On exit, the leading m-by-n submatrix of A is set as follows: ! ! if UPLO = 'U', A(i,j) = ALPHA, 1<=i<=j-1, 1<=j<=n, ! if UPLO = 'L', A(i,j) = ALPHA, j+1<=i<=m, 1<=j<=n, ! otherwise, A(i,j) = ALPHA, 1<=i<=m, 1<=j<=n, i.ne.j, ! ! and, for all UPLO, A(i,i) = BETA, 1<=i<=min(m,n). ! ! LDA (input) INTEGER ! The leading dimension of the array A. LDA >= max(1,M). ! ! ===================================================================== ! ! .. Local Scalars .. INTEGER I, J ! .. ! .. External Functions .. ! LOGICAL LSAME ! EXTERNAL LSAME ! .. ! .. Intrinsic Functions .. INTRINSIC MIN ! .. ! .. Executable Statements .. ! IF( LSAME( UPLO, 'U' ) ) THEN ! ! Set the strictly upper triangular or trapezoidal part of the ! array to ALPHA. ! DO 20 J = 2, N DO 10 I = 1, MIN( J-1, M ) A( I, J ) = ALPHA 10 CONTINUE 20 CONTINUE ! ELSE IF( LSAME( UPLO, 'L' ) ) THEN ! ! Set the strictly lower triangular or trapezoidal part of the ! array to ALPHA. ! DO 40 J = 1, MIN( M, N ) DO 30 I = J + 1, M A( I, J ) = ALPHA 30 CONTINUE 40 CONTINUE ! ELSE ! ! Set the leading m-by-n submatrix to ALPHA. ! DO 60 J = 1, N DO 50 I = 1, M A( I, J ) = ALPHA 50 CONTINUE 60 CONTINUE END IF ! ! Set the first min(M,N) diagonal elements to BETA. ! DO 70 I = 1, MIN( M, N ) A( I, I ) = BETA 70 CONTINUE ! RETURN ! ! End of DLASET ! END SUBROUTINE DLASET