proper value

noun

An eigenvalue.

Meanings

nounproper value (plural proper values)

plural proper values

  1. datedlinear algebraAn eigenvalue.

    Thus any proper value of AA* is a proper value of A*A.

    1962, A. R. Amir-Moéz, A. L. Fass, Elements of Linear Space, Pergamon Press, page 134
    2 more examples

    1961 [Oxford University Press], Sterling K. Berberian, Introduction to Hilbert Space, American Mathematical Society (AMS Chelsea), 1999, Reprint, page 178, In this terminology, Theorem 1 asserts that every non-zero proper value of a CC-operator has finite multiplicity. This result is not always helpful, for there exist CC-operators having no proper values at all:

    – the proper values of L; – for each proper value α of L|Eᶜ and proper value β of L|Eᵘ, the proper value α/β — from the assumptions it follows that this latter collection of proper values consists of contracting proper values only.

    2010, F. Takens, A Vanderbauwhede, Local invariant manifolds and normal forms, H. Broer, F. Takens, B. Hasselblatt (editors), Handbook of Dynamical Systems, Volume 3, Elsevier (North-Holland), page 106, The proper values of this linear mapping are

Synonyms & antonyms

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APA

proper value. (n.d.). In WatkinsX Dictionary. Retrieved November 2, 2026, from https://dictionary.watkinsx.com/word/proper%20value

MLA

“proper value.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/proper%20value. Accessed November 2, 2026.

Chicago

WatkinsX Dictionary, s.v. “proper value,” accessed November 2, 2026, https://dictionary.watkinsx.com/word/proper%20value.

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