p?ptsv
p?ptsv
Syntax
Solves a symmetric or Hermitian positive definite tridiagonal system of linear equations.
void
psptsv
(
MKL_INT
*n
,
MKL_INT
*nrhs
,
float
*d
,
float
*e
,
MKL_INT
*ja
,
MKL_INT
*desca
,
float
*b
,
MKL_INT
*ib
,
MKL_INT
*descb
,
float
*work
,
MKL_INT
*lwork
,
MKL_INT
*info
);
void
pdptsv
(
MKL_INT
*n
,
MKL_INT
*nrhs
,
double
*d
,
double
*e
,
MKL_INT
*ja
,
MKL_INT
*desca
,
double
*b
,
MKL_INT
*ib
,
MKL_INT
*descb
,
double
*work
,
MKL_INT
*lwork
,
MKL_INT
*info
);
void
pcptsv
(
char
*uplo
,
MKL_INT
*n
,
MKL_INT
*nrhs
,
float
*d
,
MKL_Complex8
*e
,
MKL_INT
*ja
,
MKL_INT
*desca
,
MKL_Complex8
*b
,
MKL_INT
*ib
,
MKL_INT
*descb
,
MKL_Complex8
*work
,
MKL_INT
*lwork
,
MKL_INT
*info
);
void
pzptsv
(
char
*uplo
,
MKL_INT
*n
,
MKL_INT
*nrhs
,
double
*d
,
MKL_Complex16
*e
,
MKL_INT
*ja
,
MKL_INT
*desca
,
MKL_Complex16
*b
,
MKL_INT
*ib
,
MKL_INT
*descb
,
MKL_Complex16
*work
,
MKL_INT
*lwork
,
MKL_INT
*info
);
Include Files
- mkl_scalapack.h
Description
The
p?ptsv
function
solves a system of linear equations A
(1:n
, ja
:ja
+n
-1)*X
= B
(ib
:ib
+n
-1, 1:nrhs
)where is an
A
(1:n
, ja
:ja
+n
-1)n
-by-n
real tridiagonal symmetric positive definite distributed matrix. Cholesky factorization is used to factor a reordering of the matrix into
L*L'
.Optimization Notice
|
---|
Intel's compilers may or may not optimize to the same degree for non-Intel microprocessors for optimizations that are not unique to Intel microprocessors. These optimizations include SSE2, SSE3, and SSSE3 instruction sets and other optimizations. Intel does not guarantee the availability, functionality, or effectiveness of any optimization on microprocessors not manufactured by Intel. Microprocessor-dependent optimizations in this product are intended for use with Intel microprocessors. Certain optimizations not specific to Intel microarchitecture are reserved for Intel microprocessors. Please refer to the applicable product User and Reference Guides for more information regarding the specific instruction sets covered by this notice.
Notice revision #20110804
|
This notice covers the following instruction sets: SSE2, SSE4.2, AVX2, AVX-512.
Input Parameters
- n
- (global) The order of matrixA(.n≥0)
- nrhs
- (global) The number of right-hand sides; the number of columns of the distributed submatrixB(.nrhs≥0)
- d
- (local)Pointer to local part of global vector storing the main diagonal of the matrix.
- e
- (local)Pointer to local part of global vector storing the upper diagonal of the matrix. Globally,is not referenced, anddu(n)dumust be aligned withd.
- ja
- (global) The index in the global matrixAindicating the start of the matrix to be operated on (which may be either all ofAor a submatrix ofA).
- desca
- (global and local) array of sizedlen.If1,dtype (dtype_a=501 or 502);dlen≥ 7If2,dtype (dtype_a=1).dlen≥ 9The array descriptor for the distributed matrixA.Contains information of mapping ofAto memory.
- b
- (local)Pointer into the local memory to an array of local lead size.lld_b≥nbOn entry, this array contains the local pieces of the right hand sides.B(ib:ib+n-1, 1:nrhs)
- ib
- (global) The row index in the global matrixBindicating the first row of the matrix to be operated on (which may be either all ofbor a submatrix ofB).
- descb
- (global and local) array of sizedlen.If1,dtype (dtype_b= 502);dlen≥ 7If2,dtype (dtype_b= 1).dlen≥ 9The array descriptor for the distributed matrixB.Contains information of mapping ofBto memory.
- work
- (local).Temporary workspace. This space may be overwritten in between calls tofunctions.workmust be the size given inlwork.
- lwork
- (local or global) Size of user-input workspacework. Iflworkis too small, the minimal acceptable size will be returned inwork[0]and an error code is returned..lwork> (12*NPCOL+3*nb)+max((10+2*min(100,nrhs))*NPCOL+4*nrhs, 8*NPCOL)
Output Parameters
- d
- On exit, this array contains information containing the factors of the matrix. Must be of size greater than or equal todesca[.nb_ - 1]
- e
- On exit, this array contains information containing the factors of the matrix. Must be of size greater than or equal todesca[.nb_ - 1]
- b
- On exit, this contains the local piece of the solutions distributed matrixX.
- work
- On exit,work[0]contains the minimallwork.
- info
- (local) If, the execution is successful.info=0< 0: If thei-th argument is an array and thej-entry had an illegal value, then, if theinfo= -(i*100+j)i-th argument is a scalar and had an illegal value, then.info= -i> 0: If, the submatrix stored on processorinfo=k≤NPROCSinfoand factored locally was not positive definite, and the factorization was not completed.If, the submatrix stored on processorinfo=k>NPROCSrepresenting interactions with other processors was not positive definite, and the factorization was not completed.info-NPROCS