?trmvt

Developer Reference for Intel® oneAPI Math Kernel Library for Fortran

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ID 766686

Date 10/15/2026

Version

Public

?trmvt

Performs matrix-vector operations.

Syntax

call strmvt(uplo, n, t, ldt, x, incx, y, incy, w, incw, z, incz)
call dtrmvt(uplo, n, t, ldt, x, incx, y, incy, w, incw, z, incz)
call ctrmvt(uplo, n, t, ldt, x, incx, y, incy, w, incw, z, incz)
call ztrmvt(uplo, n, t, ldt, x, incx, y, incy, w, incw, z, incz)

Include Files

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: CHARACTER*1. 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: INTEGER. On entry, n specifies the order of the matrix A . n must be at least zero. Unchanged on exit.
t: REAL for strmvt DOUBLE PRECISION for dtrmvt COMPLEX for ctrmvt DOUBLE COMPLEX for ztrmvt 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: INTEGER. 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: INTEGER. On entry, incx specifies the increment for the elements of x . incx must not be zero. Unchanged on exit.
y: REAL for strmvt DOUBLE PRECISION for dtrmvt COMPLEX for ctrmvt DOUBLE COMPLEX for ztrmvt 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: INTEGER. On entry, incy specifies the increment for the elements of y . incy must not be zero. Unchanged on exit.
incw: INTEGER. On entry, incw specifies the increment for the elements of w . incw must not be zero. Unchanged on exit.
z: REAL for strmvt DOUBLE PRECISION for dtrmvt COMPLEX for ctrmvt DOUBLE COMPLEX for ztrmvt 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: INTEGER. 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: REAL for strmvt DOUBLE PRECISION for dtrmvt COMPLEX for ctrmvt DOUBLE COMPLEX for ztrmvt Array of size at least ( 1 + ( n - 1 )*abs( incx ) ). On exit, x = T ‘ * y .
w: REAL for strmvt DOUBLE PRECISION for dtrmvt COMPLEX for ctrmvt DOUBLE COMPLEX for ztrmvt Array of size at least ( 1 + ( n - 1 )*abs( incw ) ). On exit, w = T * z .

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Developer Reference for Intel® oneAPI Math Kernel Library for Fortran

?trmvt

Syntax

Include Files

Description

Input Parameters

Output Parameters