Positive definiteness

Positive definiteness

Positive definiteness is a property of the following mathematical objects:

* Positive-definite bilinear form
* Positive-definite matrix
* Positive-definite function


Wikimedia Foundation. 2010.

Игры ⚽ Нужен реферат?

Look at other dictionaries:

  • Definiteness (disambiguation) — Definiteness is a feature of noun phrases in grammatical theory. Donna s favourite word Definiteness may also refer to: Counterfactual definiteness, a concept in quantum mechanics Positive definiteness (disambiguation), a concept in mathematics… …   Wikipedia

  • positive definite — positive definiteness. Math. 1. (of a quadratic form) positive for all real values of the variables, where the values are not all zero. 2. (of a matrix) displaying the coefficients of a positive definite quadratic form. [1905 10] * * * …   Universalium

  • Positive-definite matrix — In linear algebra, a positive definite matrix is a matrix that in many ways is analogous to a positive real number. The notion is closely related to a positive definite symmetric bilinear form (or a sesquilinear form in the complex case). The… …   Wikipedia

  • Positive-definite function — In mathematics, the term positive definite function may refer to a couple of different concepts. Contents 1 In dynamical systems 2 In analysis 2.1 Bochner s theorem 2.1.1 Applications …   Wikipedia

  • positive definite — adjective 1. : having a positive value of all values of the constituent variables positive definite quadratic forms 2. of a matrix : having the characteristic roots real and positive * * * positive definiteness. Math. 1. (of a quadratic form)… …   Useful english dictionary

  • Absolute value — For the philosophical term, see Value (ethics). For the Akrobatik album, see Absolute Value (album). In mathematics, the absolute value (or modulus) |a| of a real number a is the numerical value of a without regard to its sign. So, for example,… …   Wikipedia

  • Zonal spherical function — In mathematics, a zonal spherical function or often just spherical function is a function on a locally compact group G with compact subgroup K (often a maximal compact subgroup) that arises as the matrix coefficient of a K invariant vector in an… …   Wikipedia

  • Metric (mathematics) — In mathematics, a metric or distance function is a function which defines a distance between elements of a set. A set with a metric is called a metric space. A metric induces a topology on a set but not all topologies can be generated by a metric …   Wikipedia

  • Covariance — This article is about the measure of linear relation between random variables. For other uses, see Covariance (disambiguation). In probability theory and statistics, covariance is a measure of how much two variables change together. Variance is a …   Wikipedia

  • List of mathematics articles (P) — NOTOC P P = NP problem P adic analysis P adic number P adic order P compact group P group P² irreducible P Laplacian P matrix P rep P value P vector P y method Pacific Journal of Mathematics Package merge algorithm Packed storage matrix Packing… …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”