MB_DTRMM – Performs B := alpha*op(A)*B or B := alpha*B*op(A), where op(X) = X or op(X) = X^T for triangular matrix A

MB_DTRMM – Performs B := alphaop(A)B or B := alphaBop(A), where op(X) = X or op(X) = X^T for triangular matrix A

Block SymbolLicensing group: STANDARD

Function Description
The output references yA and yB are always set to the corresponding input references uA and uB. If HLD = on then nothing is computed otherwise the BLAS function DTRMM is called internally:

DTRMM(sRSIDE, sLUPLO, sTRANSA, sNDIAG, M, N, alpha, uA, LDA, uB, LDB);

where parameters of DTRMM are set in the following way:

If $RSIDE = on$ then the string sRSIDE is set to "R" else it is set to "L".
If $LUPLO = on$ then the string sLUPLO is set to "L" else it is set to "U".
Integer input transa is mapped to the string sTRANSA: ${0, 1} \to "N"$ , ${2} \to "T"$ and ${3} \to "C"$ .
If $NDIAG = on$ then the string sNDIAG is set to "N" else it is set to "U".
M is number of rows of the matrix referenced by uB.
N is number of columns of the matrix referenced by uB.
LDA and LDB are leading dimensions of matrices referenced by uA and uB.

The error flag E is set to on if:

the reference uA or uB is not defined (i.e. input uA or uB is not connected),
transa is less than 0 or greater than 3,
matrix referenced by uA is not square or is not compatible with the matrix referenced by uB,
the call of the function DTRMM returns error using the function XERBLA, see the system log.

See BLAS documentation [9] for more details.

This block does not propagate the signal quality. More information can be found in the 1.4 section.

Input

uA	Input reference to matrix A	Reference
uB	Input reference to matrix B	Reference
RSIDE	Operation is applied from right side	Bool
LUPLO	Matrix A is a lower triangular matrix	Bool
transa	Transposition of matrix A $↓$ 0 $↑$ 3	Long (I32)
NDIAG	Matrix A is not assumed to be unit triangular	Bool
alpha	Scalar coefficient alpha	Double (F64)
HLD	Hold	Bool

Output

yA	Output reference to matrix A	Reference
yB	Output reference to matrix B	Reference
E	Error indicator	Bool

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