org.netlib.lapack
Class DSPSV
java.lang.Object
org.netlib.lapack.DSPSV
public class DSPSV
 extends java.lang.Object
DSPSV is a simplified interface to the JLAPACK routine dspsv.
This interface converts Javastyle 2D rowmajor arrays into
the 1D columnmajor 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
* =======
*
* DSPSV computes the solution to a real system of linear equations
* A * X = B,
* where A is an NbyN symmetric matrix stored in packed format and X
* and B are NbyNRHS matrices.
*
* The diagonal pivoting method is used to factor A as
* A = U * D * U**T, if UPLO = 'U', or
* A = L * D * L**T, if UPLO = 'L',
* where U (or L) is a product of permutation and unit upper (lower)
* triangular matrices, D is symmetric and block diagonal with 1by1
* and 2by2 diagonal blocks. 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.
*
* NRHS (input) INTEGER
* The number of right hand sides, i.e., the number of columns
* of the matrix B. NRHS >= 0.
*
* AP (input/output) DOUBLE PRECISION array, dimension (N*(N+1)/2)
* On entry, the upper or lower triangle of the symmetric matrix
* A, packed columnwise in a linear array. The jth column of A
* is stored in the array AP as follows:
* if UPLO = 'U', AP(i + (j1)*j/2) = A(i,j) for 1<=i<=j;
* if UPLO = 'L', AP(i + (j1)*(2nj)/2) = A(i,j) for j<=i<=n.
* See below for further details.
*
* On exit, the block diagonal matrix D and the multipliers used
* to obtain the factor U or L from the factorization
* A = U*D*U**T or A = L*D*L**T as computed by DSPTRF, stored as
* a packed triangular matrix in the same storage format as A.
*
* IPIV (output) INTEGER array, dimension (N)
* Details of the interchanges and the block structure of D, as
* determined by DSPTRF. If IPIV(k) > 0, then rows and columns
* k and IPIV(k) were interchanged, and D(k,k) is a 1by1
* diagonal block. If UPLO = 'U' and IPIV(k) = IPIV(k1) < 0,
* then rows and columns k1 and IPIV(k) were interchanged and
* D(k1:k,k1:k) is a 2by2 diagonal block. If UPLO = 'L' and
* IPIV(k) = IPIV(k+1) < 0, then rows and columns k+1 and
* IPIV(k) were interchanged and D(k:k+1,k:k+1) is a 2by2
* diagonal block.
*
* B (input/output) DOUBLE PRECISION array, dimension (LDB,NRHS)
* On entry, the NbyNRHS right hand side matrix B.
* On exit, if INFO = 0, the NbyNRHS 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 ith argument had an illegal value
* > 0: if INFO = i, D(i,i) is exactly zero. The factorization
* has been completed, but the block diagonal matrix D is
* exactly singular, so the solution could not be
* computed.
*
* Further Details
* ===============
*
* The packed storage scheme is illustrated by the following example
* when N = 4, UPLO = 'U':
*
* Twodimensional storage of the symmetric matrix A:
*
* a11 a12 a13 a14
* a22 a23 a24
* a33 a34 (aij = aji)
* a44
*
* Packed storage of the upper triangle of A:
*
* AP = [ a11, a12, a22, a13, a23, a33, a14, a24, a34, a44 ]
*
* =====================================================================
*
* .. External Functions ..
Constructor Summary 
DSPSV()

Method Summary 
static void 
DSPSV(java.lang.String uplo,
int n,
int nrhs,
double[] ap,
int[] ipiv,
double[][] b,
intW info)

Methods inherited from class java.lang.Object 
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait 
DSPSV
public DSPSV()
DSPSV
public static void DSPSV(java.lang.String uplo,
int n,
int nrhs,
double[] ap,
int[] ipiv,
double[][] b,
intW info)