1, Frobenius, or Infinity norm; or largest element
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float | plasma_clange (plasma_enum_t norm, int m, int n, plasma_complex32_t *pA, int lda) |
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void | plasma_omp_clange (plasma_enum_t norm, plasma_desc_t A, float *work, float *value, plasma_sequence_t *sequence, plasma_request_t *request) |
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double | plasma_dlange (plasma_enum_t norm, int m, int n, double *pA, int lda) |
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void | plasma_omp_dlange (plasma_enum_t norm, plasma_desc_t A, double *work, double *value, plasma_sequence_t *sequence, plasma_request_t *request) |
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float | plasma_slange (plasma_enum_t norm, int m, int n, float *pA, int lda) |
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void | plasma_omp_slange (plasma_enum_t norm, plasma_desc_t A, float *work, float *value, plasma_sequence_t *sequence, plasma_request_t *request) |
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double | plasma_zlange (plasma_enum_t norm, int m, int n, plasma_complex64_t *pA, int lda) |
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void | plasma_omp_zlange (plasma_enum_t norm, plasma_desc_t A, double *work, double *value, plasma_sequence_t *sequence, plasma_request_t *request) |
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1, Frobenius, or Infinity norm; or largest element
float plasma_clange |
( |
plasma_enum_t |
norm, |
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int |
m, |
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int |
n, |
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plasma_complex32_t * |
pA, |
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int |
lda |
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) |
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Returns the norm of a general matrix as
clange = ( max(abs(A(i,j))), NORM = PlasmaMaxNorm ( ( norm1(A), NORM = PlasmaOneNorm ( ( normI(A), NORM = PlasmaInfNorm ( ( normF(A), NORM = PlasmaFrobeniusNorm
where norm1 denotes the one norm of a matrix (maximum column sum), normI denotes the infinity norm of a matrix (maximum row sum) and normF denotes the Frobenius norm of a matrix (square root of sum of squares). Note that max(abs(A(i,j))) is not a consistent matrix norm.
- Parameters
-
[in] | norm |
- PlasmaMaxNorm: max norm
- PlasmaOneNorm: one norm
- PlasmaInfNorm: infinity norm
- PlasmaFrobeniusNorm: Frobenius norm
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[in] | m | The number of rows of the matrix A. m >= 0. When m = 0, the returned value is set to zero. |
[in] | n | The number of columns of the matrix A. n >= 0. When n = 0, the returned value is set to zero. |
[in] | pA | The m-by-n matrix A. |
[in] | lda | The leading dimension of the array A. lda >= max(1,m). |
- Return values
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float | The specified norm of the general matrix A. |
- See also
- plasma_omp_clange
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plasma_clange
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plasma_slange
-
plasma_slange
void plasma_omp_clange |
( |
plasma_enum_t |
norm, |
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plasma_desc_t |
A, |
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float * |
work, |
|
|
float * |
value, |
|
|
plasma_sequence_t * |
sequence, |
|
|
plasma_request_t * |
request |
|
) |
| |
Calculates the max, one, infinity or Frobenius norm of a general matrix. Non-blocking equivalent of plasma_clange(). May return before the computation is finished. Operates on matrices stored by tiles. All matrices are passed through descriptors. All dimensions are taken from the descriptors. Allows for pipelining of operations at runtime.
- Parameters
-
[in] | norm |
- PlasmaMaxNorm: Max norm
- PlasmaOneNorm: One norm
- PlasmaInfNorm: Infinity norm
- PlasmaFrobeniusNorm: Frobenius norm
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[in] | A | The descriptor of matrix A. |
[out] | work | Workspace of size:
- PlasmaMaxNorm: A.mt*A.nt
- PlasmaOneNorm: A.mt*A.n + A.n
- PlasmaInfNorm: A.nt*A.m + A.m
- PlasmaFrobeniusNorm: 2*A.mt*A.nt
|
[out] | value | The calculated value of the norm requested. |
[in] | sequence | Identifies the sequence of function calls that this call belongs to (for completion checks and exception handling purposes). |
[out] | request | Identifies this function call (for exception handling purposes). |
- Return values
-
void | Errors are returned by setting sequence->status and request->status to error values. The sequence->status and request->status should never be set to PlasmaSuccess (the initial values) since another async call may be setting a failure value at the same time. |
- See also
- plasma_clange
-
plasma_omp_clange
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plasma_omp_slange
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plasma_omp_slange
double plasma_dlange |
( |
plasma_enum_t |
norm, |
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int |
m, |
|
|
int |
n, |
|
|
double * |
pA, |
|
|
int |
lda |
|
) |
| |
Returns the norm of a general matrix as
dlange = ( max(abs(A(i,j))), NORM = PlasmaMaxNorm ( ( norm1(A), NORM = PlasmaOneNorm ( ( normI(A), NORM = PlasmaInfNorm ( ( normF(A), NORM = PlasmaFrobeniusNorm
where norm1 denotes the one norm of a matrix (maximum column sum), normI denotes the infinity norm of a matrix (maximum row sum) and normF denotes the Frobenius norm of a matrix (square root of sum of squares). Note that max(abs(A(i,j))) is not a consistent matrix norm.
- Parameters
-
[in] | norm |
- PlasmaMaxNorm: max norm
- PlasmaOneNorm: one norm
- PlasmaInfNorm: infinity norm
- PlasmaFrobeniusNorm: Frobenius norm
|
[in] | m | The number of rows of the matrix A. m >= 0. When m = 0, the returned value is set to zero. |
[in] | n | The number of columns of the matrix A. n >= 0. When n = 0, the returned value is set to zero. |
[in] | pA | The m-by-n matrix A. |
[in] | lda | The leading dimension of the array A. lda >= max(1,m). |
- Return values
-
double | The specified norm of the general matrix A. |
- See also
- plasma_omp_dlange
-
plasma_clange
-
plasma_dlange
-
plasma_slange
void plasma_omp_dlange |
( |
plasma_enum_t |
norm, |
|
|
plasma_desc_t |
A, |
|
|
double * |
work, |
|
|
double * |
value, |
|
|
plasma_sequence_t * |
sequence, |
|
|
plasma_request_t * |
request |
|
) |
| |
Calculates the max, one, infinity or Frobenius norm of a general matrix. Non-blocking equivalent of plasma_dlange(). May return before the computation is finished. Operates on matrices stored by tiles. All matrices are passed through descriptors. All dimensions are taken from the descriptors. Allows for pipelining of operations at runtime.
- Parameters
-
[in] | norm |
- PlasmaMaxNorm: Max norm
- PlasmaOneNorm: One norm
- PlasmaInfNorm: Infinity norm
- PlasmaFrobeniusNorm: Frobenius norm
|
[in] | A | The descriptor of matrix A. |
[out] | work | Workspace of size:
- PlasmaMaxNorm: A.mt*A.nt
- PlasmaOneNorm: A.mt*A.n + A.n
- PlasmaInfNorm: A.nt*A.m + A.m
- PlasmaFrobeniusNorm: 2*A.mt*A.nt
|
[out] | value | The calculated value of the norm requested. |
[in] | sequence | Identifies the sequence of function calls that this call belongs to (for completion checks and exception handling purposes). |
[out] | request | Identifies this function call (for exception handling purposes). |
- Return values
-
void | Errors are returned by setting sequence->status and request->status to error values. The sequence->status and request->status should never be set to PlasmaSuccess (the initial values) since another async call may be setting a failure value at the same time. |
- See also
- plasma_dlange
-
plasma_omp_clange
-
plasma_omp_dlange
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plasma_omp_slange
float plasma_slange |
( |
plasma_enum_t |
norm, |
|
|
int |
m, |
|
|
int |
n, |
|
|
float * |
pA, |
|
|
int |
lda |
|
) |
| |
Returns the norm of a general matrix as
slange = ( max(abs(A(i,j))), NORM = PlasmaMaxNorm ( ( norm1(A), NORM = PlasmaOneNorm ( ( normI(A), NORM = PlasmaInfNorm ( ( normF(A), NORM = PlasmaFrobeniusNorm
where norm1 denotes the one norm of a matrix (maximum column sum), normI denotes the infinity norm of a matrix (maximum row sum) and normF denotes the Frobenius norm of a matrix (square root of sum of squares). Note that max(abs(A(i,j))) is not a consistent matrix norm.
- Parameters
-
[in] | norm |
- PlasmaMaxNorm: max norm
- PlasmaOneNorm: one norm
- PlasmaInfNorm: infinity norm
- PlasmaFrobeniusNorm: Frobenius norm
|
[in] | m | The number of rows of the matrix A. m >= 0. When m = 0, the returned value is set to zero. |
[in] | n | The number of columns of the matrix A. n >= 0. When n = 0, the returned value is set to zero. |
[in] | pA | The m-by-n matrix A. |
[in] | lda | The leading dimension of the array A. lda >= max(1,m). |
- Return values
-
float | The specified norm of the general matrix A. |
- See also
- plasma_omp_slange
-
plasma_clange
-
plasma_slange
-
plasma_slange
void plasma_omp_slange |
( |
plasma_enum_t |
norm, |
|
|
plasma_desc_t |
A, |
|
|
float * |
work, |
|
|
float * |
value, |
|
|
plasma_sequence_t * |
sequence, |
|
|
plasma_request_t * |
request |
|
) |
| |
Calculates the max, one, infinity or Frobenius norm of a general matrix. Non-blocking equivalent of plasma_slange(). May return before the computation is finished. Operates on matrices stored by tiles. All matrices are passed through descriptors. All dimensions are taken from the descriptors. Allows for pipelining of operations at runtime.
- Parameters
-
[in] | norm |
- PlasmaMaxNorm: Max norm
- PlasmaOneNorm: One norm
- PlasmaInfNorm: Infinity norm
- PlasmaFrobeniusNorm: Frobenius norm
|
[in] | A | The descriptor of matrix A. |
[out] | work | Workspace of size:
- PlasmaMaxNorm: A.mt*A.nt
- PlasmaOneNorm: A.mt*A.n + A.n
- PlasmaInfNorm: A.nt*A.m + A.m
- PlasmaFrobeniusNorm: 2*A.mt*A.nt
|
[out] | value | The calculated value of the norm requested. |
[in] | sequence | Identifies the sequence of function calls that this call belongs to (for completion checks and exception handling purposes). |
[out] | request | Identifies this function call (for exception handling purposes). |
- Return values
-
void | Errors are returned by setting sequence->status and request->status to error values. The sequence->status and request->status should never be set to PlasmaSuccess (the initial values) since another async call may be setting a failure value at the same time. |
- See also
- plasma_slange
-
plasma_omp_clange
-
plasma_omp_slange
-
plasma_omp_slange
double plasma_zlange |
( |
plasma_enum_t |
norm, |
|
|
int |
m, |
|
|
int |
n, |
|
|
plasma_complex64_t * |
pA, |
|
|
int |
lda |
|
) |
| |
Returns the norm of a general matrix as
zlange = ( max(abs(A(i,j))), NORM = PlasmaMaxNorm ( ( norm1(A), NORM = PlasmaOneNorm ( ( normI(A), NORM = PlasmaInfNorm ( ( normF(A), NORM = PlasmaFrobeniusNorm
where norm1 denotes the one norm of a matrix (maximum column sum), normI denotes the infinity norm of a matrix (maximum row sum) and normF denotes the Frobenius norm of a matrix (square root of sum of squares). Note that max(abs(A(i,j))) is not a consistent matrix norm.
- Parameters
-
[in] | norm |
- PlasmaMaxNorm: max norm
- PlasmaOneNorm: one norm
- PlasmaInfNorm: infinity norm
- PlasmaFrobeniusNorm: Frobenius norm
|
[in] | m | The number of rows of the matrix A. m >= 0. When m = 0, the returned value is set to zero. |
[in] | n | The number of columns of the matrix A. n >= 0. When n = 0, the returned value is set to zero. |
[in] | pA | The m-by-n matrix A. |
[in] | lda | The leading dimension of the array A. lda >= max(1,m). |
- Return values
-
double | The specified norm of the general matrix A. |
- See also
- plasma_omp_zlange
-
plasma_clange
-
plasma_dlange
-
plasma_slange
void plasma_omp_zlange |
( |
plasma_enum_t |
norm, |
|
|
plasma_desc_t |
A, |
|
|
double * |
work, |
|
|
double * |
value, |
|
|
plasma_sequence_t * |
sequence, |
|
|
plasma_request_t * |
request |
|
) |
| |
Calculates the max, one, infinity or Frobenius norm of a general matrix. Non-blocking equivalent of plasma_zlange(). May return before the computation is finished. Operates on matrices stored by tiles. All matrices are passed through descriptors. All dimensions are taken from the descriptors. Allows for pipelining of operations at runtime.
- Parameters
-
[in] | norm |
- PlasmaMaxNorm: Max norm
- PlasmaOneNorm: One norm
- PlasmaInfNorm: Infinity norm
- PlasmaFrobeniusNorm: Frobenius norm
|
[in] | A | The descriptor of matrix A. |
[out] | work | Workspace of size:
- PlasmaMaxNorm: A.mt*A.nt
- PlasmaOneNorm: A.mt*A.n + A.n
- PlasmaInfNorm: A.nt*A.m + A.m
- PlasmaFrobeniusNorm: 2*A.mt*A.nt
|
[out] | value | The calculated value of the norm requested. |
[in] | sequence | Identifies the sequence of function calls that this call belongs to (for completion checks and exception handling purposes). |
[out] | request | Identifies this function call (for exception handling purposes). |
- Return values
-
void | Errors are returned by setting sequence->status and request->status to error values. The sequence->status and request->status should never be set to PlasmaSuccess (the initial values) since another async call may be setting a failure value at the same time. |
- See also
- plasma_zlange
-
plasma_omp_clange
-
plasma_omp_dlange
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plasma_omp_slange