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+ 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