LinearAlgebra`BLAS`
LinearAlgebra`BLAS`

ASUM

ASUM[x]

computes the sum of the absolute values of elements of the vector x.

Details

  • To use ASUM, you first need to load the BLAS Package using Needs["LinearAlgebra`BLAS`"].
  • The following argument must be given:
  • xinput expressionvector
  • For complex vectors x, ASUM computes the total of the sum of the absolute values of the real and imaginary parts taken separately.

Examples

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Basic Examples  (1)

Load the BLAS package:

Compute the sum of absolute values of elements of an integer vector:

Scope  (4)

A real vector:

A complex vector:

An arbitrary-precision vector:

A symbolic vector:

Properties & Relations  (2)

ASUM[x] is equivalent to Apply[Plus,Abs[x]] for non-complex x:

ASUM[x] is equivalent to Apply[Plus,Abs[Re[x]]]+Apply[Plus,Abs[Im[x]]] for complex or symbolic x:

Wolfram Research (2017), ASUM, Wolfram Language function, https://reference.wolfram.com/language/LowLevelLinearAlgebra/ref/ASUM.html.

Text

Wolfram Research (2017), ASUM, Wolfram Language function, https://reference.wolfram.com/language/LowLevelLinearAlgebra/ref/ASUM.html.

BibTeX

@misc{reference.wolfram_2021_asum, author="Wolfram Research", title="{ASUM}", year="2017", howpublished="\url{https://reference.wolfram.com/language/LowLevelLinearAlgebra/ref/ASUM.html}", note=[Accessed: 26-July-2021 ]}

BibLaTeX

@online{reference.wolfram_2021_asum, organization={Wolfram Research}, title={ASUM}, year={2017}, url={https://reference.wolfram.com/language/LowLevelLinearAlgebra/ref/ASUM.html}, note=[Accessed: 26-July-2021 ]}

CMS

Wolfram Language. 2017. "ASUM." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/LowLevelLinearAlgebra/ref/ASUM.html.

APA

Wolfram Language. (2017). ASUM. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/LowLevelLinearAlgebra/ref/ASUM.html