CXML
blas1
A library of linear algebra routines
Description
Basic Linear Algebra Subroutines Level 1 (BLAS 1) are a part of the Compaq
Extended Math Library (CXML). The BLAS1 subprograms perform low granularity
operations on vectors that involve one or two vectors as input and return
either a vector or a scalar as output. These subprograms have been
optimized to provide high performance on Alpha systems.
The following routines are included in BLAS 1. The Subprogram Name is the
name of the manual page containing documentation on the subprogram.
Subprogram Name Operation
isamax
Calculates, in single-precision arithmetic, the
index of the element of a real vector with maximum
absolute value.
idamax
Calculates, in double-precision arithmetic, the
index of the element of a real vector with maximum
absolute value.
icamax
Calculates, in single-precision arithmetic, the
index of the element of a complex vector with
maximum absolute value.
izamax
Calculates, in double-precision arithmetic, the
index of the element of a complex vector with
maximum absolute value.
sasum
Calculates, in single-precision arithmetic, the
sum of the absolute values of the elements of a
real vector.
dasum
Calculates, in double-precision arithmetic, the
sum of the absolute values of the elements of a
real vector.
scasum
Calculates, in single-precision arithmetic, the
sum of the absolute values of the elements of a
complex vector.
dzasum
Calculates, in double-precision arithmetic, the
sum of the absolute values of the elements of a
complex vector.
saxpy
Calculates, in single-precision arithmetic, the
product of a real scalar and a real vector and
adds the result to a real vector.
daxpy
Calculates, in double-precision arithmetic, the
product of a real scalar and a real vector and
adds the result to a real vector.
caxpy
Calculates, in single-precision arithmetic, the
product of a complex scalar and a complex vector
and adds the result to a complex vector.
zaxpy
Calculates, in double-precision arithmetic, the
product of a complex scalar and a complex vector
and adds the result to a complex vector.
scopy
Copies a real, single-precision vector.
dcopy
Copies a real, double-precision vector.
ccopy
Copies a complex, single-precision vector.
zcopy
Copies a complex, double-precision vector.
sdot
Calculates the inner product of two real, single-
precision vectors.
ddot
Calculates the inner product of two real, double-
precision vectors.
dsdot
Calculates the inner product of two real, single-
precision vectors using double precision
arithmetic operations and returns a double-
precision result.
cdotc
Calculates the conjugated inner product of two
complex, single-precision vectors.
zdotc
Calculates the conjugated inner product of two
complex, double-precision vectors.
cdotu
Calculates the unconjugated inner product of two
complex, single-precision vectors.
zdotu
Calculates the unconjugated inner product of two
complex, double-precision vectors.
sdsdot
Calculates the inner product of two real, single
precision vectors, using double precision
arithmetic operations, adds the inner product
result to a real single-precision scalar, and
returns a single precision result.
snrm2
Calculates, in single-precision arithmetic, the
square root of the sum of the squares of the
elements of a real vector.
dnrm2
Calculates, in double-precision arithmetic, the
square root of the sum of the squares of the
elements of a real vector.
scnrm2
Calculates, in single-precision arithmetic, the
square root of the sum of the squares of the
elements of a complex vector.
dznrm2
Calculates, in double-precision arithmetic, the
square root of the sum of the squares of the
elements of a complex vector.
crot
Applies a complex Givens plane rotation to two
complex, single-precision vectors.
zrot
Applies a complex Givens plane rotation to two
complex, double-precision vectors.
srot
Applies a real Givens plane rotation to two real,
single-precision vectors.
drot
Applies a real Givens plane rotation to two real,
double-precision vectors.
csrot
Applies a real Givens plane rotation to two
complex, single-precision vectors.
zdrot
Applies a real Givens plane rotation to two
complex, double-precision vectors.
srotm
Applies a modified Givens transformation to two
real, single-precision vectors.
drotm
Applies a modified Givens transformation to two
real double-precision vectors.
srotg
Generates the real elements for a real, single-
precision Givens plane rotation.
drotg
Generates the real elements for a real, double-
precision Givens plane rotation.
crotg
Generates the elements for a complex, single-
precision Givens plane rotation.
zrotg
Generates the elements for a complex, double-
precision Givens plane rotation.
srotmg
Generates the elements for a real, single-
precision modified Givens transform.
drotmg
Generates the elements for a real, double-
precision modified Givens transform.
sscal
Calculates, in single-precision arithmetic, the
product of a real scalar and a real vector.
dscal
Calculates, in double-precision arithmetic, the
product of a real scalar and a real vector.
cscal
Calculates, in single-precision arithmetic, the
product of a complex scalar and a complex vector.
zscal
Calculates, in double-precision arithmetic, the
product of a complex scalar and a complex vector.
csscal
Calculates, in single-precision arithmetic, the
product of a real scalar and a complex vector.
zdscal
Calculates, in double-precision arithmetic, the
product of a real scalar and a complex vector.
sswap
Swaps the elements of two real, single-precision
vectors.
dswap
Swaps the elements of two real, double-precision
vectors.
cswap
Swaps the elements of two complex, single-
precision vectors.
zswap
Swaps the elements of two complex, double-
precision vectors.
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