Developer Reference

Contents

?trmvt

Performs matrix-vector operations.

Syntax

void strmvt
(
const
char*
uplo
,
const
MKL_INT*
n
,
const
float*
t
,
const
MKL_INT*
ldt
,
float*
x
,
const
MKL_INT*
incx
,
const
float*
y
,
const
MKL_INT*
incy
,
float*
w
,
const
MKL_INT*
incw
,
const
float*
z
,
const
MKL_INT*
incz
);
void dtrmvt
(
const
char*
uplo
,
const
MKL_INT*
n
,
const
double*
t
,
const
MKL_INT*
ldt
,
double*
x
,
const
MKL_INT*
incx
,
const
double*
y
,
const
MKL_INT*
incy
,
double*
w
,
const
MKL_INT*
incw
,
const
double*
z
,
const
MKL_INT*
incz
);
void ctrmvt
(
const
char*
uplo
,
const
MKL_INT*
n
,
const
MKL_Complex8*
t
,
const
MKL_INT*
ldt
,
MKL_Complex8*
x
,
const
MKL_INT*
incx
,
const
MKL_Complex8*
y
,
const
MKL_INT*
incy
,
MKL_Complex8*
w
,
const
MKL_INT*
incw
,
const
MKL_Complex8*
z
,
const
MKL_INT*
incz
);
void ztrmvt
(
const
char*
uplo
,
const
MKL_INT*
n
,
const
MKL_Complex16*
t
,
const
MKL_INT*
ldt
,
MKL_Complex16*
x
,
const
MKL_INT*
incx
,
const
MKL_Complex16*
y
,
const
MKL_INT*
incy
,
MKL_Complex16*
w
,
const
MKL_INT*
incw
,
const
MKL_Complex16*
z
,
const
MKL_INT*
incz
);
Include Files
  • mkl_scalapack.h
Description
?trmvt
performs the matrix-vector operations as follows:
strmvt
and
dtrmvt
:   x :=
T
' *y, and w :=
T
*z
ctrmvt
and
ztrmvt
:   x := conjg(
T
' ) *y, and w :=
T
*z,
where x is an
n
element vector and
T
is an
n
-by-
n
upper or lower triangular matrix.
Input Parameters
uplo
On entry,
uplo
specifies whether the matrix is an upper or lower triangular matrix as follows:
uplo
= 'U' or 'u'
A
is an upper triangular matrix.
uplo
= 'L' or 'l'
A
is a lower triangular matrix.
Unchanged on exit.
n
On entry,
n
specifies the order of the matrix
A
.
n
must be at least zero.
Unchanged on exit.
t
Array of size (
ldt
,
n
).
Before entry with
uplo
= 'U' or 'u', the leading
n
-by-
n
upper triangular part of the array
t
must contain the upper triangular matrix and the strictly lower triangular part of
t
is not referenced.
Before entry with
uplo
= 'L' or 'l', the leading
n
-by-
n
lower triangular part of the array
t
must contain the lower triangular matrix and the strictly upper triangular part of
t
is not referenced.
ldt
On entry,
lda
specifies the first dimension of
A
as declared in the calling (sub) program.
lda
must be at least max( 1,
n
).
Unchanged on exit.
incx
On entry,
incx
specifies the increment for the elements of
x
.
incx
must not be zero.
Unchanged on exit.
y
Array of size at least ( 1 + (
n
- 1 )*abs(
incy
) ).
Before entry, the incremented array
y
must contain the
n
element vector
y
.
Unchanged on exit.
incy
On entry,
incy
specifies the increment for the elements of
y
.
incy
must not be zero.
Unchanged on exit.
incw
On entry,
incw
specifies the increment for the elements of
w
.
incw
must not be zero.
Unchanged on exit.
z
Array of size at least ( 1 + (
n
- 1 )*abs(
incz
) ).
Before entry, the incremented array
z
must contain the
n
element vector
z
.
Unchanged on exit.
incz
On entry,
incz
specifies the increment for the elements of
z
.
incz
must not be zero.
Unchanged on exit.
Output Parameters
t
Before entry with
uplo
= 'U' or 'u', the leading
n
-by-
n
upper triangular part of the array
t
must contain the upper triangular matrix and the strictly lower triangular part of
t
is not referenced.
Before entry with
uplo
= 'L' or 'l', the leading
n
-by-
n
lower triangular part of the array
t
must contain the lower triangular matrix and the strictly upper triangular part of
t
is not referenced.
x
Array of size at least ( 1 + (
n
- 1 )*abs(
incx
) ).
On exit,
x
=
T
' *
y
.
w
Array of size at least ( 1 + (
n
- 1 )*abs(
incw
) ).
On exit,
w
=
T
*
z
.

Product and Performance Information

1

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