## org.netlib.lapack Class DPBSV

```java.lang.Object
org.netlib.lapack.DPBSV
```

`public class DPBSVextends java.lang.Object`

```DPBSV is a simplified interface to the JLAPACK routine dpbsv.
This interface converts Java-style 2D row-major arrays into
the 1D column-major linearized arrays expected by the lower
level JLAPACK routines.  Using this interface also allows you
to omit offset and leading dimension arguments.  However, because
of these conversions, these routines will be slower than the low
level ones.  Following is the description from the original Fortran
source.  Contact seymour@cs.utk.edu with any questions.

*     ..
*
*  Purpose
*  =======
*
*  DPBSV computes the solution to a real system of linear equations
*     A * X = B,
*  where A is an N-by-N symmetric positive definite band matrix and X
*  and B are N-by-NRHS matrices.
*
*  The Cholesky decomposition is used to factor A as
*     A = U**T * U,  if UPLO = 'U', or
*     A = L * L**T,  if UPLO = 'L',
*  where U is an upper triangular band matrix, and L is a lower
*  triangular band matrix, with the same number of superdiagonals or
*  subdiagonals as A.  The factored form of A is then used to solve the

*  system of equations A * X = B.
*
*  Arguments
*  =========
*
*  UPLO    (input) CHARACTER*1
*          = 'U':  Upper triangle of A is stored;
*          = 'L':  Lower triangle of A is stored.
*
*  N       (input) INTEGER
*          The number of linear equations, i.e., the order of the
*          matrix A.  N >= 0.
*
*  KD      (input) INTEGER
*          The number of superdiagonals of the matrix A if UPLO = 'U',
*          or the number of subdiagonals if UPLO = 'L'.  KD >= 0.
*
*  NRHS    (input) INTEGER
*          The number of right hand sides, i.e., the number of columns
*          of the matrix B.  NRHS >= 0.
*
*  AB      (input/output) DOUBLE PRECISION array, dimension (LDAB,N)
*          On entry, the upper or lower triangle of the symmetric band
*          matrix A, stored in the first KD+1 rows of the array.  The
*          j-th column of A is stored in the j-th column of the array AB
*          as follows:
*          if UPLO = 'U', AB(KD+1+i-j,j) = A(i,j) for max(1,j-KD)<=i<=j;
*          if UPLO = 'L', AB(1+i-j,j)    = A(i,j) for j<=i<=min(N,j+KD).
*          See below for further details.
*
*          On exit, if INFO = 0, the triangular factor U or L from the
*          Cholesky factorization A = U**T*U or A = L*L**T of the band
*          matrix A, in the same storage format as A.
*
*  LDAB    (input) INTEGER
*          The leading dimension of the array AB.  LDAB >= KD+1.
*
*  B       (input/output) DOUBLE PRECISION array, dimension (LDB,NRHS)
*          On entry, the N-by-NRHS right hand side matrix B.
*          On exit, if INFO = 0, the N-by-NRHS solution matrix X.
*
*  LDB     (input) INTEGER
*          The leading dimension of the array B.  LDB >= max(1,N).
*
*  INFO    (output) INTEGER
*          = 0:  successful exit
*          < 0:  if INFO = -i, the i-th argument had an illegal value
*          > 0:  if INFO = i, the leading minor of order i of A is not
*                positive definite, so the factorization could not be
*                completed, and the solution has not been computed.
*
*  Further Details
*  ===============
*
*  The band storage scheme is illustrated by the following example, when
*  N = 6, KD = 2, and UPLO = 'U':
*
*  On entry:                       On exit:
*
*      *    *   a13  a24  a35  a46      *    *   u13  u24  u35  u46
*      *   a12  a23  a34  a45  a56      *   u12  u23  u34  u45  u56
*     a11  a22  a33  a44  a55  a66     u11  u22  u33  u44  u55  u66
*
*  Similarly, if UPLO = 'L' the format of A is as follows:
*
*  On entry:                       On exit:
*
*     a11  a22  a33  a44  a55  a66     l11  l22  l33  l44  l55  l66
*     a21  a32  a43  a54  a65   *      l21  l32  l43  l54  l65   *
*     a31  a42  a53  a64   *    *      l31  l42  l53  l64   *    *
*
*  Array elements marked * are not used by the routine.
*
*  =====================================================================
*
*     .. External Functions ..
```

Constructor Summary
`DPBSV()`

Method Summary
`static void` ```DPBSV(java.lang.String uplo, int n, int kd, int nrhs, double[][] ab, double[][] b, intW info)```

Methods inherited from class java.lang.Object
`clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait`

Constructor Detail

### DPBSV

`public DPBSV()`
Method Detail

### DPBSV

```public static void DPBSV(java.lang.String uplo,
int n,
int kd,
int nrhs,
double[][] ab,
double[][] b,
intW info)```