mult_rz – LINALG

Multiplies a general matrix by the orthogonal matrix Z from an RZ factorization such that $C = op(Z) C$ or $C = C op(Z)$

Type	Intent	Attributes		Name
logical,	intent(in)		::	lside	Set to true to compute $C = op(Z) C$ ; else, set to false to compute $C = C op(Z)$ .
logical,	intent(in)		::	trans	Set to true if $op(Z) = Z^{T}$ ; else, set to false if $op(Z) = Z$ .
integer(kind=int32),	intent(in)		::	l	The number of columns in matrix $A$ containing the meaningful part of the Householder vectors. If lside is true, $M \ge L \ge 0$ ; else, if lside is false, $N \ge L \ge 0$ .
real(kind=real64),	intent(in),	dimension(:,:)	::	a	The $K$ -by- $LTA$ matrix $Z$ , where $LTA = M$ if lside is true; else, $LTA = N$ if lside is false. The I-th row must contain the Householder vector in the last $k$ rows.
real(kind=real64),	intent(in),	dimension(:)	::	tau	A $K$ -element array containing the scalar factors of the elementary reflectors, where $M \ge K \ge 0$ if lside is true; else, $N \ge K \ge 0$ if lside is false.
real(kind=real64),	intent(in),	dimension(:,:)	::	c	The $M$ -by- $N$ matrix $C$ .

The $M$ -by- $N$ product of the orthgonal matrix $Z$ and the original matrix $C$ .

Multiplies a general matrix by the orthogonal matrix Z from an RZ factorization such that $C = op(Z) C$ or $C = C op(Z)$ .

Type	Intent	Attributes		Name
logical,	intent(in)		::	lside	Set to true to compute $C = op(Z) C$ ; else, set to false to compute $C = C op(Z)$ .
logical,	intent(in)		::	trans	Set to true if $op(Z) = Z^{T}$ ; else, set to false if $op(Z) = Z$ .
integer(kind=int32),	intent(in)		::	l	The number of columns in matrix $A$ containing the meaningful part of the Householder vectors. If lside is true, $M \ge L \ge 0$ ; else, if lside is false, $N \ge L \ge 0$ .
complex(kind=real64),	intent(in),	dimension(:,:)	::	a	The $K$ -by- $LTA$ matrix $Z$ , where $LTA = M$ if lside is true; else, $LTA = N$ if lside is false. The I-th row must contain the Householder vector in the last $k$ rows.
complex(kind=real64),	intent(in),	dimension(:)	::	tau	A $K$ -element array containing the scalar factors of the elementary reflectors, where $M \ge K \ge 0$ if lside is true; else, $N \ge K \ge 0$ if lside is false.
complex(kind=real64),	intent(in),	dimension(:,:)	::	c	The $M$ -by- $N$ matrix $C$ .

The $M$ -by- $N$ product of the orthgonal matrix $Z$ and the original matrix $C$ .

Multiplies a general matrix by the orthogonal matrix Z from an RZ factorization such that $C = op(Z) C$ .

Type	Intent	Attributes		Name
logical,	intent(in)		::	trans	Set to true if $op(Z) = Z^{T}$ ; else, set to false if $op(Z) = Z$ .
integer(kind=int32),	intent(in)		::	l	The number of columns in matrix $A$ containing the meaningful part of the Householder vectors.
real(kind=real64),	intent(in),	dimension(:,:)	::	a	The $M$ -by- $M$ matrix $Z$ . The I-th row must contain the Householder vector in the last $k$ rows.
real(kind=real64),	intent(in),	dimension(:)	::	tau	An $M$ -element array containing the scalar factors of the elementary reflectors.
real(kind=real64),	intent(in),	dimension(:)	::	c	The $M$ -element array $C$ .

The product of $Z$ and $C$ .

Multiplies a general matrix by the orthogonal matrix Z from an RZ factorization such that $C = op(Z) C$ .

Type	Intent	Attributes		Name
logical,	intent(in)		::	trans	Set to true if $op(Z) = Z^{T}$ ; else, set to false if $op(Z) = Z$ .
integer(kind=int32),	intent(in)		::	l	The number of columns in matrix $A$ containing the meaningful part of the Householder vectors.
complex(kind=real64),	intent(in),	dimension(:,:)	::	a	The $M$ -by- $M$ matrix $Z$ . The I-th row must contain the Householder vector in the last $k$ rows.
complex(kind=real64),	intent(in),	dimension(:)	::	tau	An $M$ -element array containing the scalar factors of the elementary reflectors.
complex(kind=real64),	intent(in),	dimension(:)	::	c	On input, the $M$ -element array $C$ . On output, the product of $Z$ and $C$ .

The product of $Z$ and $C$ .

mult_rz Interface