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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.

更多信息和选项
Details and Options Details and Options
范例  
基本范例  
Scope  
Properties & Relations  
Possible Issues  
相关指南
按以下格式引用：
LinearAlgebra`BLAS`
LinearAlgebra`BLAS`

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.

更多信息和选项

  • To use GEMM, you first need to load the BLAS Package using Needs["LinearAlgebra`BLAS`"].
  • The following arguments must be given:
  • tsainput stringtransposition string for a
    tsbinput stringtransposition string for b
    αinput expressionscalar mutliple
    ainput expressionrectangular matrix
    binput expressionrectangular matrix
    βinput expressionscalar multiple
    cinput/output symbolrectangular 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.

范例

打开所有单元 关闭所有单元

基本范例  (1)

Load the BLAS package:

Wolfram Language code: Needs["LinearAlgebra`BLAS`"]

Compute Transpose[a].b+2 c and save it in c:

Wolfram Language code: c = {{0, 2}, {2, -4}}; a = {{1, 3}, {2, 4}}; b = {{-1, 2}, {2, -1}}; GEMM["T", "N", 1, a, b, 2, c]; c

Scope  (4)

Real matrices:

Wolfram Language code: c = {{2.3, 1.2}, {3.7, 1.5}}; a = {{-2.1, 0}, {1.4, 2.4}}; b = {{0, 1.2}, {-1.3, 4.6}}; GEMM["N", "N", 2, a, b, 1, c]; c

Complex matrices:

Wolfram Language code: c = {{2.3 + 3.I, 1.2 I}, {-3. + 2.I, 4.1}}; a = {{2.1, 1.4 I}, {3.5 I, 0.4 + I}}; b = {{0, 1.2}, {-1.3 - 2.I, -1.0}}; GEMM["N", "C", 2I, a, b, 1, c]; c

Arbitrary-precision matrices:

Wolfram Language code: c = {{0, 2`20}, {2`20, -4}}; a = {{1, 3}, {2, 4}}; b = {{-1, 2}, {2, -1}}; GEMM["T", "N", 1, a, b, 2, c]; c

Symbolic matrices:

Wolfram Language code: Clear[c1, c2]; c = {{c1}, {c2}}; a = {{a11, a12}, {a21, a22}}; b = {{b1}, {b2}}; GEMM["N", "N", α, a, b, β, c]; c

Properties & Relations  (3)

GEMM["N","N",α,a,b,β,c] is equivalent to c=α a.b+β c:

Wolfram Language code: c = c1 = RandomReal[1, {4, 5}]; a = RandomReal[1, {4, 4}]; b = RandomReal[1, {4, 5}]; GEMM["N", "N", 3, a, b, -2, c]; c == 3 a.b - 2 c1

GEMM["T","N",α,a,b,β,b] is equivalent to c=α Transpose[a].b+β c:

Wolfram Language code: c = c1 = RandomReal[1, {4, 5}]; a = RandomReal[1, {4, 4}]; b = RandomReal[1, {4, 5}]; GEMM["T", "N", 3, a, b, -2, c]; c == 3 Transpose[a].b - 2 c1

GEMM["C","T",α,a,b,β,b] is equivalent to c=α ConjugateTranspose[a].Transpose[b]+β c:

Wolfram Language code: c = c1 = RandomComplex[1 + I, {4, 5}]; a = RandomComplex[1 + I, {4, 4}]; b = RandomComplex[1 + I, {5, 4}]; GEMM["C", "T", 3 + 2I, a, b, -2 + I, c]; c == (3 + 2I) ConjugateTranspose[a].Transpose[b] + (-2 + I) c1

Possible Issues  (2)

The last argument must be a symbol:

Wolfram Language code: a = {{1, 3}, {2, 4}}; b = {{1, 2}, {1, 2}}; GEMM["N", "N", 1, a, b, 2, {{2, 3}, {0, 1}}]

The last argument must be initialized to a matrix:

Wolfram Language code: Clear[c]; a = {{1, 3}, {2, 4}}; b = {{1, 2}, {1, 2}}; GEMM["N", "N", 1, a, b, 2, c]
Wolfram Research (2017)，GEMM，Wolfram 语言函数，https://reference.wolfram.com/language/LowLevelLinearAlgebra/ref/GEMM.html.

文本

Wolfram Research (2017)，GEMM，Wolfram 语言函数，https://reference.wolfram.com/language/LowLevelLinearAlgebra/ref/GEMM.html.

CMS

Wolfram 语言. 2017. "GEMM." Wolfram 语言与系统参考资料中心. Wolfram Research. https://reference.wolfram.com/language/LowLevelLinearAlgebra/ref/GEMM.html.

APA

Wolfram 语言. (2017). GEMM. Wolfram 语言与系统参考资料中心. 追溯自 https://reference.wolfram.com/language/LowLevelLinearAlgebra/ref/GEMM.html 年

BibTeX

@misc{reference.wolfram_2026_gemm, author="Wolfram Research", title="{GEMM}", year="2017", howpublished="\url{https://reference.wolfram.com/language/LowLevelLinearAlgebra/ref/GEMM.html}", note=[Accessed: 09-August-2026]}

BibLaTeX

@online{reference.wolfram_2026_gemm, organization={Wolfram Research}, title={GEMM}, year={2017}, url={https://reference.wolfram.com/language/LowLevelLinearAlgebra/ref/GEMM.html}, note=[Accessed: 09-August-2026]}