GEMM[tsa,tsb,α,a,b,β,c]
computes the matrix-matrix multiplication α optsa[a].optsb[b]+β c and resets c to the result.
GEMM
GEMM[tsa,tsb,α,a,b,β,c]
computes the matrix-matrix multiplication α optsa[a].optsb[b]+β c and resets c to the result.
Details and Options
- To use GEMM, you first need to load the BLAS Package using Needs ["LinearAlgebra`BLAS`"].
- The following arguments must be given:
-
tsa input string transposition string for atsb input string transposition string for bα input expression scalar mutliplea input expression rectangular matrixb input expression rectangular matrixβ input expression scalar multiplec input/output symbol rectangular matrix; the symbol value is modified in place
- The transposition strings describing the operators optsa and optsb and may be specified as:
-
"N" no transposition"T" transpose"C" conjugate transpose
- Dimensions of the matrix arguments must be such that the dot product and addition are well defined.
Examples
open all close allBasic Examples (1)
Load the BLAS package:
Compute Transpose [a].b+2 c and save it in c:
Scope (4)
Real matrices:
Complex matrices:
Arbitrary-precision matrices:
Symbolic matrices:
Properties & Relations (3)
GEMM["N","N",α,a,b,β,c] is equivalent to c=α a.b+β c:
GEMM["T","N",α,a,b,β,b] is equivalent to c=α Transpose [a].b+β c:
GEMM["C" ,"T",α,a,b,β,b] is equivalent to c=α ConjugateTranspose [a].Transpose [b]+β c:
Possible Issues (2)
The last argument must be a symbol:
The last argument must be initialized to a matrix:
Related Guides
Text
Wolfram Research (2017), GEMM, Wolfram Language function, https://reference.wolfram.com/language/LowLevelLinearAlgebra/ref/GEMM.html.
CMS
Wolfram Language. 2017. "GEMM." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/LowLevelLinearAlgebra/ref/GEMM.html.
APA
Wolfram Language. (2017). GEMM. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/LowLevelLinearAlgebra/ref/GEMM.html
BibTeX
@misc{reference.wolfram_2025_gemm, author="Wolfram Research", title="{GEMM}", year="2017", howpublished="\url{https://reference.wolfram.com/language/LowLevelLinearAlgebra/ref/GEMM.html}", note=[Accessed: 16-November-2025]}
BibLaTeX
@online{reference.wolfram_2025_gemm, organization={Wolfram Research}, title={GEMM}, year={2017}, url={https://reference.wolfram.com/language/LowLevelLinearAlgebra/ref/GEMM.html}, note=[Accessed: 16-November-2025]}