### 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

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 $\mathtt{\text{RSIDE}}=\mathtt{\text{on}}$ then the string sRSIDE is set to "R" else it is set to "L".
• If $\mathtt{\text{LUPLO}}=\mathtt{\text{on}}$ then the string sLUPLO is set to "L" else it is set to "U".
• Integer input transa is mapped to the string sTRANSA: $\left\{0,1\right\}\to \mathtt{\text{"N"}}$, $\left\{2\right\}\to \mathtt{\text{"T"}}$ and $\left\{3\right\}\to \mathtt{\text{"C"}}$.
• If $\mathtt{\text{NDIAG}}=\mathtt{\text{on}}$ 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 [6] for more details.

Inputs

 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 $\odot$0.00E+00 Long (I32) NDIAG Matrix A is not assumed to be unit triangular Bool alpha Scalar coefficient alpha  $\odot$0.0 Double (F64) HLD Hold Bool

Outputs

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

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