gbmv Interface
public interface gbmv
GBMV performs one of the matrix-vector operations y := alphaAx + betay, or y := alphaATx + betay, or y := alpha*AHx + betay, where alpha and beta are scalars, x and y are vectors and A is an m by n band matrix, with kl sub-diagonals and ku super-diagonals.
Subroutines
public pure subroutine cgbmv(trans, m, n, kl, ku, alpha, a, lda, x, incx, beta, y, incy)
Arguments
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| character(len=1), | intent(in) | :: | trans | |||
| integer(kind=ilp), | intent(in) | :: | m | |||
| integer(kind=ilp), | intent(in) | :: | n | |||
| integer(kind=ilp), | intent(in) | :: | kl | |||
| integer(kind=ilp), | intent(in) | :: | ku | |||
| complex(kind=sp), | intent(in) | :: | alpha | |||
| complex(kind=sp), | intent(in) | :: | a(lda,*) | |||
| integer(kind=ilp), | intent(in) | :: | lda | |||
| complex(kind=sp), | intent(in) | :: | x(*) | |||
| integer(kind=ilp), | intent(in) | :: | incx | |||
| complex(kind=sp), | intent(in) | :: | beta | |||
| complex(kind=sp), | intent(inout) | :: | y(*) | |||
| integer(kind=ilp), | intent(in) | :: | incy |
public pure subroutine dgbmv(trans, m, n, kl, ku, alpha, a, lda, x, incx, beta, y, incy)
Arguments
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| character(len=1), | intent(in) | :: | trans | |||
| integer(kind=ilp), | intent(in) | :: | m | |||
| integer(kind=ilp), | intent(in) | :: | n | |||
| integer(kind=ilp), | intent(in) | :: | kl | |||
| integer(kind=ilp), | intent(in) | :: | ku | |||
| real(kind=dp), | intent(in) | :: | alpha | |||
| real(kind=dp), | intent(in) | :: | a(lda,*) | |||
| integer(kind=ilp), | intent(in) | :: | lda | |||
| real(kind=dp), | intent(in) | :: | x(*) | |||
| integer(kind=ilp), | intent(in) | :: | incx | |||
| real(kind=dp), | intent(in) | :: | beta | |||
| real(kind=dp), | intent(inout) | :: | y(*) | |||
| integer(kind=ilp), | intent(in) | :: | incy |
public pure subroutine sgbmv(trans, m, n, kl, ku, alpha, a, lda, x, incx, beta, y, incy)
Arguments
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| character(len=1), | intent(in) | :: | trans | |||
| integer(kind=ilp), | intent(in) | :: | m | |||
| integer(kind=ilp), | intent(in) | :: | n | |||
| integer(kind=ilp), | intent(in) | :: | kl | |||
| integer(kind=ilp), | intent(in) | :: | ku | |||
| real(kind=sp), | intent(in) | :: | alpha | |||
| real(kind=sp), | intent(in) | :: | a(lda,*) | |||
| integer(kind=ilp), | intent(in) | :: | lda | |||
| real(kind=sp), | intent(in) | :: | x(*) | |||
| integer(kind=ilp), | intent(in) | :: | incx | |||
| real(kind=sp), | intent(in) | :: | beta | |||
| real(kind=sp), | intent(inout) | :: | y(*) | |||
| integer(kind=ilp), | intent(in) | :: | incy |
public pure subroutine zgbmv(trans, m, n, kl, ku, alpha, a, lda, x, incx, beta, y, incy)
Arguments
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| character(len=1), | intent(in) | :: | trans | |||
| integer(kind=ilp), | intent(in) | :: | m | |||
| integer(kind=ilp), | intent(in) | :: | n | |||
| integer(kind=ilp), | intent(in) | :: | kl | |||
| integer(kind=ilp), | intent(in) | :: | ku | |||
| complex(kind=dp), | intent(in) | :: | alpha | |||
| complex(kind=dp), | intent(in) | :: | a(lda,*) | |||
| integer(kind=ilp), | intent(in) | :: | lda | |||
| complex(kind=dp), | intent(in) | :: | x(*) | |||
| integer(kind=ilp), | intent(in) | :: | incx | |||
| complex(kind=dp), | intent(in) | :: | beta | |||
| complex(kind=dp), | intent(inout) | :: | y(*) | |||
| integer(kind=ilp), | intent(in) | :: | incy |
Module Procedures
public pure subroutine stdlib_cgbmv(trans, m, n, kl, ku, alpha, a, lda, x, incx, beta, y, incy)
CGBMV performs one of the matrix-vector operations y := alphaAx + betay, or y := alphaATx + betay, or y := alpha*AHx + betay, where alpha and beta are scalars, x and y are vectors and A is an m by n band matrix, with kl sub-diagonals and ku super-diagonals.
Arguments
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| character(len=1), | intent(in) | :: | trans | |||
| integer(kind=ilp), | intent(in) | :: | m | |||
| integer(kind=ilp), | intent(in) | :: | n | |||
| integer(kind=ilp), | intent(in) | :: | kl | |||
| integer(kind=ilp), | intent(in) | :: | ku | |||
| complex(kind=sp), | intent(in) | :: | alpha | |||
| complex(kind=sp), | intent(in) | :: | a(lda,*) | |||
| integer(kind=ilp), | intent(in) | :: | lda | |||
| complex(kind=sp), | intent(in) | :: | x(*) | |||
| integer(kind=ilp), | intent(in) | :: | incx | |||
| complex(kind=sp), | intent(in) | :: | beta | |||
| complex(kind=sp), | intent(inout) | :: | y(*) | |||
| integer(kind=ilp), | intent(in) | :: | incy |
public pure subroutine stdlib_dgbmv(trans, m, n, kl, ku, alpha, a, lda, x, incx, beta, y, incy)
DGBMV performs one of the matrix-vector operations y := alphaAx + betay, or y := alphaATx + betay, where alpha and beta are scalars, x and y are vectors and A is an m by n band matrix, with kl sub-diagonals and ku super-diagonals.
Arguments
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| character(len=1), | intent(in) | :: | trans | |||
| integer(kind=ilp), | intent(in) | :: | m | |||
| integer(kind=ilp), | intent(in) | :: | n | |||
| integer(kind=ilp), | intent(in) | :: | kl | |||
| integer(kind=ilp), | intent(in) | :: | ku | |||
| real(kind=dp), | intent(in) | :: | alpha | |||
| real(kind=dp), | intent(in) | :: | a(lda,*) | |||
| integer(kind=ilp), | intent(in) | :: | lda | |||
| real(kind=dp), | intent(in) | :: | x(*) | |||
| integer(kind=ilp), | intent(in) | :: | incx | |||
| real(kind=dp), | intent(in) | :: | beta | |||
| real(kind=dp), | intent(inout) | :: | y(*) | |||
| integer(kind=ilp), | intent(in) | :: | incy |
public pure subroutine stdlib_sgbmv(trans, m, n, kl, ku, alpha, a, lda, x, incx, beta, y, incy)
SGBMV performs one of the matrix-vector operations y := alphaAx + betay, or y := alphaATx + betay, where alpha and beta are scalars, x and y are vectors and A is an m by n band matrix, with kl sub-diagonals and ku super-diagonals.
Arguments
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| character(len=1), | intent(in) | :: | trans | |||
| integer(kind=ilp), | intent(in) | :: | m | |||
| integer(kind=ilp), | intent(in) | :: | n | |||
| integer(kind=ilp), | intent(in) | :: | kl | |||
| integer(kind=ilp), | intent(in) | :: | ku | |||
| real(kind=sp), | intent(in) | :: | alpha | |||
| real(kind=sp), | intent(in) | :: | a(lda,*) | |||
| integer(kind=ilp), | intent(in) | :: | lda | |||
| real(kind=sp), | intent(in) | :: | x(*) | |||
| integer(kind=ilp), | intent(in) | :: | incx | |||
| real(kind=sp), | intent(in) | :: | beta | |||
| real(kind=sp), | intent(inout) | :: | y(*) | |||
| integer(kind=ilp), | intent(in) | :: | incy |
public pure subroutine stdlib_zgbmv(trans, m, n, kl, ku, alpha, a, lda, x, incx, beta, y, incy)
ZGBMV performs one of the matrix-vector operations y := alphaAx + betay, or y := alphaATx + betay, or y := alpha*AHx + betay, where alpha and beta are scalars, x and y are vectors and A is an m by n band matrix, with kl sub-diagonals and ku super-diagonals.
Arguments
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| character(len=1), | intent(in) | :: | trans | |||
| integer(kind=ilp), | intent(in) | :: | m | |||
| integer(kind=ilp), | intent(in) | :: | n | |||
| integer(kind=ilp), | intent(in) | :: | kl | |||
| integer(kind=ilp), | intent(in) | :: | ku | |||
| complex(kind=dp), | intent(in) | :: | alpha | |||
| complex(kind=dp), | intent(in) | :: | a(lda,*) | |||
| integer(kind=ilp), | intent(in) | :: | lda | |||
| complex(kind=dp), | intent(in) | :: | x(*) | |||
| integer(kind=ilp), | intent(in) | :: | incx | |||
| complex(kind=dp), | intent(in) | :: | beta | |||
| complex(kind=dp), | intent(inout) | :: | y(*) | |||
| integer(kind=ilp), | intent(in) | :: | incy |