nrm2: Vector 2 norm

\( ||x||_2 \) More...

Functions
float	magma_cblas_scnrm2 (magma_int_t n, const magmaFloatComplex *x, magma_int_t incx)
	Returns 2-norm of vector x. More...
double	magma_cblas_dnrm2 (magma_int_t n, const double *x, magma_int_t incx)
	Returns 2-norm of vector x. More...
float	magma_cblas_snrm2 (magma_int_t n, const float *x, magma_int_t incx)
	Returns 2-norm of vector x. More...
double	magma_cblas_dznrm2 (magma_int_t n, const magmaDoubleComplex *x, magma_int_t incx)
	Returns 2-norm of vector x. More...
float	magma_scnrm2 (magma_int_t n, magmaFloatComplex_const_ptr dx, magma_int_t incx, magma_queue_t queue)
double	magma_dnrm2 (magma_int_t n, magmaDouble_const_ptr dx, magma_int_t incx, magma_queue_t queue)
float	magma_snrm2 (magma_int_t n, magmaFloat_const_ptr dx, magma_int_t incx, magma_queue_t queue)
double	magma_dznrm2 (magma_int_t n, magmaDoubleComplex_const_ptr dx, magma_int_t incx, magma_queue_t queue)

Detailed Description

\( ||x||_2 \)

Function Documentation

float magma_cblas_scnrm2	(	magma_int_t	n,
		const magmaFloatComplex *	x,
		magma_int_t	incx
	)

Returns 2-norm of vector x.

Avoids unnecesary over/underflow.

To avoid dependence on CBLAS and incompatability issues between BLAS libraries, MAGMA uses its own implementation, following BLAS reference.

Parameters

[in]	n	Number of elements in vector x. n >= 0.
[in]	x	COMPLEX array on CPU host. The n element vector x of dimension (1 + (n-1)*incx).
[in]	incx	Stride between consecutive elements of x. incx > 0.

double magma_cblas_dnrm2	(	magma_int_t	n,
		const double *	x,
		magma_int_t	incx
	)

Returns 2-norm of vector x.

Avoids unnecesary over/underflow.

To avoid dependence on CBLAS and incompatability issues between BLAS libraries, MAGMA uses its own implementation, following BLAS reference.

Parameters

[in]	n	Number of elements in vector x. n >= 0.
[in]	x	DOUBLE PRECISION array on CPU host. The n element vector x of dimension (1 + (n-1)*incx).
[in]	incx	Stride between consecutive elements of x. incx > 0.

float magma_cblas_snrm2	(	magma_int_t	n,
		const float *	x,
		magma_int_t	incx
	)

Returns 2-norm of vector x.

Avoids unnecesary over/underflow.

To avoid dependence on CBLAS and incompatability issues between BLAS libraries, MAGMA uses its own implementation, following BLAS reference.

Parameters

[in]	n	Number of elements in vector x. n >= 0.
[in]	x	REAL array on CPU host. The n element vector x of dimension (1 + (n-1)*incx).
[in]	incx	Stride between consecutive elements of x. incx > 0.

double magma_cblas_dznrm2	(	magma_int_t	n,
		const magmaDoubleComplex *	x,
		magma_int_t	incx
	)

Returns 2-norm of vector x.

Avoids unnecesary over/underflow.

To avoid dependence on CBLAS and incompatability issues between BLAS libraries, MAGMA uses its own implementation, following BLAS reference.

Parameters

[in]	n	Number of elements in vector x. n >= 0.
[in]	x	COMPLEX_16 array on CPU host. The n element vector x of dimension (1 + (n-1)*incx).
[in]	incx	Stride between consecutive elements of x. incx > 0.

float magma_scnrm2	(	magma_int_t	n,
		magmaFloatComplex_const_ptr	dx,
		magma_int_t	incx,
		magma_queue_t	queue
	)

Returns

2-norm of vector x; \( \text{sqrt}( x^H x ) \). Avoids unnecesary over/underflow.

Parameters

[in]	n	Number of elements in vector x and y. n >= 0.
[in]	dx	COMPLEX array on GPU device. The n element vector x of dimension (1 + (n-1)*incx).
[in]	incx	Stride between consecutive elements of dx. incx > 0.
[in]	queue	magma_queue_t Queue to execute in.

double magma_dnrm2	(	magma_int_t	n,
		magmaDouble_const_ptr	dx,
		magma_int_t	incx,
		magma_queue_t	queue
	)

Returns

2-norm of vector x; \( \text{sqrt}( x^H x ) \). Avoids unnecesary over/underflow.

Parameters

[in]	n	Number of elements in vector x and y. n >= 0.
[in]	dx	DOUBLE PRECISION array on GPU device. The n element vector x of dimension (1 + (n-1)*incx).
[in]	incx	Stride between consecutive elements of dx. incx > 0.
[in]	queue	magma_queue_t Queue to execute in.

float magma_snrm2	(	magma_int_t	n,
		magmaFloat_const_ptr	dx,
		magma_int_t	incx,
		magma_queue_t	queue
	)

Returns

2-norm of vector x; \( \text{sqrt}( x^H x ) \). Avoids unnecesary over/underflow.

Parameters

[in]	n	Number of elements in vector x and y. n >= 0.
[in]	dx	REAL array on GPU device. The n element vector x of dimension (1 + (n-1)*incx).
[in]	incx	Stride between consecutive elements of dx. incx > 0.
[in]	queue	magma_queue_t Queue to execute in.

double magma_dznrm2	(	magma_int_t	n,
		magmaDoubleComplex_const_ptr	dx,
		magma_int_t	incx,
		magma_queue_t	queue
	)

Returns

2-norm of vector x; \( \text{sqrt}( x^H x ) \). Avoids unnecesary over/underflow.

Parameters

[in]	n	Number of elements in vector x and y. n >= 0.
[in]	dx	COMPLEX_16 array on GPU device. The n element vector x of dimension (1 + (n-1)*incx).
[in]	incx	Stride between consecutive elements of dx. incx > 0.
[in]	queue	magma_queue_t Queue to execute in.