version 1.7, 2010/12/21 13:53:53
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version 1.8, 2011/07/22 07:38:18
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SUBROUTINE ZPBTF2( UPLO, N, KD, AB, LDAB, INFO ) |
SUBROUTINE ZPBTF2( UPLO, N, KD, AB, LDAB, INFO ) |
* |
* |
* -- LAPACK routine (version 3.2) -- |
* -- LAPACK routine (version 3.3.1) -- |
* -- LAPACK is a software package provided by Univ. of Tennessee, -- |
* -- LAPACK is a software package provided by Univ. of Tennessee, -- |
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- |
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- |
* November 2006 |
* -- April 2011 -- |
* |
* |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
CHARACTER UPLO |
CHARACTER UPLO |
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* positive definite band matrix A. |
* positive definite band matrix A. |
* |
* |
* The factorization has the form |
* The factorization has the form |
* A = U' * U , if UPLO = 'U', or |
* A = U**H * U , if UPLO = 'U', or |
* A = L * L', if UPLO = 'L', |
* A = L * L**H, if UPLO = 'L', |
* where U is an upper triangular matrix, U' is the conjugate transpose |
* where U is an upper triangular matrix, U**H is the conjugate transpose |
* of U, and L is lower triangular. |
* of U, and L is lower triangular. |
* |
* |
* This is the unblocked version of the algorithm, calling Level 2 BLAS. |
* This is the unblocked version of the algorithm, calling Level 2 BLAS. |
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* if UPLO = 'L', AB(1+i-j,j) = A(i,j) for j<=i<=min(n,j+kd). |
* if UPLO = 'L', AB(1+i-j,j) = A(i,j) for j<=i<=min(n,j+kd). |
* |
* |
* On exit, if INFO = 0, the triangular factor U or L from the |
* On exit, if INFO = 0, the triangular factor U or L from the |
* Cholesky factorization A = U'*U or A = L*L' of the band |
* Cholesky factorization A = U**H *U or A = L*L**H of the band |
* matrix A, in the same storage format as A. |
* matrix A, in the same storage format as A. |
* |
* |
* LDAB (input) INTEGER |
* LDAB (input) INTEGER |
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* |
* |
IF( UPPER ) THEN |
IF( UPPER ) THEN |
* |
* |
* Compute the Cholesky factorization A = U'*U. |
* Compute the Cholesky factorization A = U**H * U. |
* |
* |
DO 10 J = 1, N |
DO 10 J = 1, N |
* |
* |
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10 CONTINUE |
10 CONTINUE |
ELSE |
ELSE |
* |
* |
* Compute the Cholesky factorization A = L*L'. |
* Compute the Cholesky factorization A = L*L**H. |
* |
* |
DO 20 J = 1, N |
DO 20 J = 1, N |
* |
* |