spotrf(3)
Variants Computational routines
Description
variantsPOcomputational
NAME
variantsPOcomputational - Variants Computational routines
SYNOPSIS
Functions
subroutine
cpotrf (UPLO, N, A, LDA, INFO)
CPOTRF VARIANT: right looking block version of the
algorithm, calling Level 3 BLAS.
subroutine dpotrf (UPLO, N, A, LDA, INFO)
DPOTRF VARIANT: right looking block version of the
algorithm, calling Level 3 BLAS.
subroutine spotrf (UPLO, N, A, LDA, INFO)
SPOTRF VARIANT: right looking block version of the
algorithm, calling Level 3 BLAS.
subroutine zpotrf (UPLO, N, A, LDA, INFO)
ZPOTRF VARIANT: right looking block version of the
algorithm, calling Level 3 BLAS.
Detailed Description
This is the group of Variants Computational routines
Function Documentation
subroutine cpotrf (character UPLO, integer N, complex, dimension( lda, * ) A,integer LDA, integer INFO)
CPOTRF VARIANT: right looking block version of the algorithm, calling Level 3 BLAS. CPOTRF VARIANT: top-looking block version of the algorithm, calling Level 3 BLAS.
Purpose:
CPOTRF computes
the Cholesky factorization of a real Hermitian
positive definite matrix A.
The
factorization has the form
A = U**H * U, if UPLO = ’U’, or
A = L * L**H, if UPLO = ’L’,
where U is an upper triangular matrix and L is lower
triangular.
This is the right looking block version of the algorithm, calling Level 3 BLAS.
Parameters
UPLO
UPLO is
CHARACTER*1
= ’U’: Upper triangle of A is stored;
= ’L’: Lower triangle of A is stored.
N
N is INTEGER
The order of the matrix A. N >= 0.
A
A is COMPLEX
array, dimension (LDA,N)
On entry, the Hermitian matrix A. If UPLO = ’U’,
the leading
N-by-N upper triangular part of A contains the upper
triangular part of the matrix A, and the strictly lower
triangular part of A is not referenced. If UPLO =
’L’, the
leading N-by-N lower triangular part of A contains the lower
triangular part of the matrix A, and the strictly upper
triangular part of A is not referenced.
On exit, if
INFO = 0, the factor U or L from the Cholesky
factorization A = U**H*U or A = L*L**H.
LDA
LDA is INTEGER
The leading dimension of the array A. LDA >=
max(1,N).
INFO
INFO is 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 is not
positive definite, and the factorization could not be
completed.
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date
December 2016
Purpose:
CPOTRF computes
the Cholesky factorization of a real symmetric
positive definite matrix A.
The
factorization has the form
A = U**H * U, if UPLO = ’U’, or
A = L * L**H, if UPLO = ’L’,
where U is an upper triangular matrix and L is lower
triangular.
This is the top-looking block version of the algorithm, calling Level 3 BLAS.
Parameters
UPLO
UPLO is
CHARACTER*1
= ’U’: Upper triangle of A is stored;
= ’L’: Lower triangle of A is stored.
N
N is INTEGER
The order of the matrix A. N >= 0.
A
A is COMPLEX
array, dimension (LDA,N)
On entry, the symmetric matrix A. If UPLO = ’U’,
the leading
N-by-N upper triangular part of A contains the upper
triangular part of the matrix A, and the strictly lower
triangular part of A is not referenced. If UPLO =
’L’, the
leading N-by-N lower triangular part of A contains the lower
triangular part of the matrix A, and the strictly upper
triangular part of A is not referenced.
On exit, if
INFO = 0, the factor U or L from the Cholesky
factorization A = U**H*U or A = L*L**H.
LDA
LDA is INTEGER
The leading dimension of the array A. LDA >=
max(1,N).
INFO
INFO is 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 is not
positive definite, and the factorization could not be
completed.
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date
December 2016
subroutine dpotrf (character UPLO, integer N, double precision, dimension(lda, * ) A, integer LDA, integer INFO)
DPOTRF VARIANT: right looking block version of the algorithm, calling Level 3 BLAS. DPOTRF VARIANT: top-looking block version of the algorithm, calling Level 3 BLAS.
Purpose:
DPOTRF computes
the Cholesky factorization of a real symmetric
positive definite matrix A.
The
factorization has the form
A = U**T * U, if UPLO = ’U’, or
A = L * L**T, if UPLO = ’L’,
where U is an upper triangular matrix and L is lower
triangular.
This is the right looking block version of the algorithm, calling Level 3 BLAS.
Parameters
UPLO
UPLO is
CHARACTER*1
= ’U’: Upper triangle of A is stored;
= ’L’: Lower triangle of A is stored.
N
N is INTEGER
The order of the matrix A. N >= 0.
A
A is DOUBLE
PRECISION array, dimension (LDA,N)
On entry, the symmetric matrix A. If UPLO = ’U’,
the leading
N-by-N upper triangular part of A contains the upper
triangular part of the matrix A, and the strictly lower
triangular part of A is not referenced. If UPLO =
’L’, the
leading N-by-N lower triangular part of A contains the lower
triangular part of the matrix A, and the strictly upper
triangular part of A is not referenced.
On exit, if
INFO = 0, the factor U or L from the Cholesky
factorization A = U**T*U or A = L*L**T.
LDA
LDA is INTEGER
The leading dimension of the array A. LDA >=
max(1,N).
INFO
INFO is 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 is not
positive definite, and the factorization could not be
completed.
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date
December 2016
Purpose:
DPOTRF computes
the Cholesky factorization of a real symmetric
positive definite matrix A.
The
factorization has the form
A = U**T * U, if UPLO = ’U’, or
A = L * L**T, if UPLO = ’L’,
where U is an upper triangular matrix and L is lower
triangular.
This is the top-looking block version of the algorithm, calling Level 3 BLAS.
Parameters
UPLO
UPLO is
CHARACTER*1
= ’U’: Upper triangle of A is stored;
= ’L’: Lower triangle of A is stored.
N
N is INTEGER
The order of the matrix A. N >= 0.
A
A is DOUBLE
PRECISION array, dimension (LDA,N)
On entry, the symmetric matrix A. If UPLO = ’U’,
the leading
N-by-N upper triangular part of A contains the upper
triangular part of the matrix A, and the strictly lower
triangular part of A is not referenced. If UPLO =
’L’, the
leading N-by-N lower triangular part of A contains the lower
triangular part of the matrix A, and the strictly upper
triangular part of A is not referenced.
On exit, if
INFO = 0, the factor U or L from the Cholesky
factorization A = U**T*U or A = L*L**T.
LDA
LDA is INTEGER
The leading dimension of the array A. LDA >=
max(1,N).
INFO
INFO is 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 is not
positive definite, and the factorization could not be
completed.
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date
December 2016
subroutine spotrf (character UPLO, integer N, real, dimension( lda, * ) A,integer LDA, integer INFO)
SPOTRF VARIANT: right looking block version of the algorithm, calling Level 3 BLAS. SPOTRF VARIANT: top-looking block version of the algorithm, calling Level 3 BLAS.
Purpose:
SPOTRF computes
the Cholesky factorization of a real symmetric
positive definite matrix A.
The
factorization has the form
A = U**T * U, if UPLO = ’U’, or
A = L * L**T, if UPLO = ’L’,
where U is an upper triangular matrix and L is lower
triangular.
This is the right looking block version of the algorithm, calling Level 3 BLAS.
Parameters
UPLO
UPLO is
CHARACTER*1
= ’U’: Upper triangle of A is stored;
= ’L’: Lower triangle of A is stored.
N
N is INTEGER
The order of the matrix A. N >= 0.
A
A is REAL
array, dimension (LDA,N)
On entry, the symmetric matrix A. If UPLO = ’U’,
the leading
N-by-N upper triangular part of A contains the upper
triangular part of the matrix A, and the strictly lower
triangular part of A is not referenced. If UPLO =
’L’, the
leading N-by-N lower triangular part of A contains the lower
triangular part of the matrix A, and the strictly upper
triangular part of A is not referenced.
On exit, if
INFO = 0, the factor U or L from the Cholesky
factorization A = U**T*U or A = L*L**T.
LDA
LDA is INTEGER
The leading dimension of the array A. LDA >=
max(1,N).
INFO
INFO is 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 is not
positive definite, and the factorization could not be
completed.
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date
December 2016
Purpose:
SPOTRF computes
the Cholesky factorization of a real symmetric
positive definite matrix A.
The
factorization has the form
A = U**T * U, if UPLO = ’U’, or
A = L * L**T, if UPLO = ’L’,
where U is an upper triangular matrix and L is lower
triangular.
This is the top-looking block version of the algorithm, calling Level 3 BLAS.
Parameters
UPLO
UPLO is
CHARACTER*1
= ’U’: Upper triangle of A is stored;
= ’L’: Lower triangle of A is stored.
N
N is INTEGER
The order of the matrix A. N >= 0.
A
A is REAL
array, dimension (LDA,N)
On entry, the symmetric matrix A. If UPLO = ’U’,
the leading
N-by-N upper triangular part of A contains the upper
triangular part of the matrix A, and the strictly lower
triangular part of A is not referenced. If UPLO =
’L’, the
leading N-by-N lower triangular part of A contains the lower
triangular part of the matrix A, and the strictly upper
triangular part of A is not referenced.
On exit, if
INFO = 0, the factor U or L from the Cholesky
factorization A = U**T*U or A = L*L**T.
LDA
LDA is INTEGER
The leading dimension of the array A. LDA >=
max(1,N).
INFO
INFO is 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 is not
positive definite, and the factorization could not be
completed.
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date
December 2016
subroutine zpotrf (character UPLO, integer N, complex*16, dimension( lda, * )A, integer LDA, integer INFO)
ZPOTRF VARIANT: right looking block version of the algorithm, calling Level 3 BLAS. ZPOTRF VARIANT: top-looking block version of the algorithm, calling Level 3 BLAS.
Purpose:
ZPOTRF computes
the Cholesky factorization of a real Hermitian
positive definite matrix A.
The
factorization has the form
A = U**H * U, if UPLO = ’U’, or
A = L * L**H, if UPLO = ’L’,
where U is an upper triangular matrix and L is lower
triangular.
This is the right looking block version of the algorithm, calling Level 3 BLAS.
Parameters
UPLO
UPLO is
CHARACTER*1
= ’U’: Upper triangle of A is stored;
= ’L’: Lower triangle of A is stored.
N
N is INTEGER
The order of the matrix A. N >= 0.
A
A is COMPLEX*16
array, dimension (LDA,N)
On entry, the Hermitian matrix A. If UPLO = ’U’,
the leading
N-by-N upper triangular part of A contains the upper
triangular part of the matrix A, and the strictly lower
triangular part of A is not referenced. If UPLO =
’L’, the
leading N-by-N lower triangular part of A contains the lower
triangular part of the matrix A, and the strictly upper
triangular part of A is not referenced.
On exit, if
INFO = 0, the factor U or L from the Cholesky
factorization A = U**H*U or A = L*L**H.
LDA
LDA is INTEGER
The leading dimension of the array A. LDA >=
max(1,N).
INFO
INFO is 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 is not
positive definite, and the factorization could not be
completed.
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date
December 2016
Purpose:
ZPOTRF computes
the Cholesky factorization of a real symmetric
positive definite matrix A.
The
factorization has the form
A = U**H * U, if UPLO = ’U’, or
A = L * L**H, if UPLO = ’L’,
where U is an upper triangular matrix and L is lower
triangular.
This is the top-looking block version of the algorithm, calling Level 3 BLAS.
Parameters
UPLO
UPLO is
CHARACTER*1
= ’U’: Upper triangle of A is stored;
= ’L’: Lower triangle of A is stored.
N
N is INTEGER
The order of the matrix A. N >= 0.
A
A is COMPLEX*16
array, dimension (LDA,N)
On entry, the symmetric matrix A. If UPLO = ’U’,
the leading
N-by-N upper triangular part of A contains the upper
triangular part of the matrix A, and the strictly lower
triangular part of A is not referenced. If UPLO =
’L’, the
leading N-by-N lower triangular part of A contains the lower
triangular part of the matrix A, and the strictly upper
triangular part of A is not referenced.
On exit, if
INFO = 0, the factor U or L from the Cholesky
factorization A = U**H*U or A = L*L**H.
LDA
LDA is INTEGER
The leading dimension of the array A. LDA >=
max(1,N).
INFO
INFO is 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 is not
positive definite, and the factorization could not be
completed.
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date
December 2016
Author
Generated automatically by Doxygen for LAPACK from the source code.