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SymmetrizedReplacePart[sa,{pos1val1,pos2val2,…}]

replaces independent values of the symmetrized array sa as given by the rules posivali.

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SymmetrizedReplacePart

SymmetrizedReplacePart[sa,{pos1val1,pos2val2,…}]

replaces independent values of the symmetrized array sa as given by the rules posivali.

Details

  • SymmetrizedReplacePart[sa,rules] returns another symmetrized array with the same symmetry, but different independent components.
  • If the posi in the rules posi->vali do not correspond to independent components of the array, then they will be converted into the corresponding independent component before performing the replacements.

Examples

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Basic Examples  (1)

Express a symmetric matrix as a SymmetrizedArray object:

Wolfram Language code: sa = SymmetrizedArray[{{a, b}, {b, c}}]

Replace its diagonal elements:

Wolfram Language code: SymmetrizedReplacePart[sa, {{2, 1} -> x}]

Convert back to a normal matrix:

Wolfram Language code: Normal[%]

Scope  (1)

Change independent components in a symmetrized array:

Wolfram Language code: sa = SymmetrizedArray[{{1, 2, 3} -> 1, {2, 3, 4} -> 2}, {4, 4, 4}, Antisymmetric[All]]
Wolfram Language code: SymmetrizedArrayRules[sa]

Change explicitly one of the independent components:

Wolfram Language code: SymmetrizedReplacePart[sa, {{1, 2, 3} -> x}]//SymmetrizedArrayRules

Change the independent component implied by any other component:

Wolfram Language code: SymmetrizedReplacePart[sa, {{3, 2, 1} -> x}]//SymmetrizedArrayRules

Generalizations & Extensions  (1)

Replace both independent and dependent components in an array by providing a symmetry specification in the third argument:

Wolfram Language code: m = {{a, b}, {c, d}};
Wolfram Language code: SymmetrizedReplacePart[m, {{2, 1} -> x}, Symmetric[{1, 2}]]
Wolfram Research (2012), SymmetrizedReplacePart, Wolfram Language function, https://reference.wolfram.com/language/ref/SymmetrizedReplacePart.html.

Text

Wolfram Research (2012), SymmetrizedReplacePart, Wolfram Language function, https://reference.wolfram.com/language/ref/SymmetrizedReplacePart.html.

CMS

Wolfram Language. 2012. "SymmetrizedReplacePart." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/SymmetrizedReplacePart.html.

APA

Wolfram Language. (2012). SymmetrizedReplacePart. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/SymmetrizedReplacePart.html

BibTeX

@misc{reference.wolfram_2026_symmetrizedreplacepart, author="Wolfram Research", title="{SymmetrizedReplacePart}", year="2012", howpublished="\url{https://reference.wolfram.com/language/ref/SymmetrizedReplacePart.html}", note=[Accessed: 13-June-2026]}

BibLaTeX

@online{reference.wolfram_2026_symmetrizedreplacepart, organization={Wolfram Research}, title={SymmetrizedReplacePart}, year={2012}, url={https://reference.wolfram.com/language/ref/SymmetrizedReplacePart.html}, note=[Accessed: 13-June-2026]}