positive definite matrix
1Positive-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… …
2Positive definite — In mathematics, positive definite may refer to: * positive definite matrix * positive definite function ** positive definite function on a group * positive definite bilinear form …
3positive 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] * * * …
4Positive-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 …
5Positive definite kernel — In operator theory, a positive definite kernel is a generalization of a positive matrix. Definition Let :{ H n } {n in {mathbb Z be a sequence of (complex) Hilbert spaces and :mathcal{L}(H i, H j)be the bounded operators from Hi to Hj . A map A… …
6Positive definite function on a group — In operator theory, a positive definite function on a group relates the notions of positivity, in the context of Hilbert spaces, and algebraic groups. It can be viewed as a particular type of positive definite kernel where the underlying set has… …
7positive 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)… …
8positive definite — adjective Date: 1907 1. having a positive value for all values of the constituent variables < positive definite quadratic forms > 2. of a matrix having the characteristic roots real and positive …
9Positive definiteness — is a property of the following mathematical objects:* Positive definite bilinear form * Positive definite matrix * Positive definite function …
10Positiv definite Matrix — Definitheit ist ein Begriff aus dem mathematischen Teilgebiet der linearen Algebra. Er beschreibt, welche Vorzeichen reelle quadratische Formen annehmen können, die durch Matrizen oder allgemeiner durch Bilinearformen erzeugt werden.… …
