- matrix inequality
- мат.матричное неравенство
English-Russian scientific dictionary. 2008.
matrix inequality
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Linear matrix inequality — In convex optimization, a linear matrix inequality (LMI) is an expression of the form: LMI(y):=A 0+y 1A 1+y 2A 2+cdots+y m A mgeq0,where * y= [y i,, i!=!1dots m] is a real vector, * A 0,, A 1,, A 2,,dots,A m are symmetric matrices in the subspace … Wikipedia
Matrix mechanics — Quantum mechanics Uncertainty principle … Wikipedia
Matrix norm — In mathematics, a matrix norm is a natural extension of the notion of a vector norm to matrices. Contents 1 Definition 2 Induced norm 3 Entrywise norms 3.1 Frobenius norm … Wikipedia
Matrix exponential — In mathematics, the matrix exponential is a matrix function on square matrices analogous to the ordinary exponential function. Abstractly, the matrix exponential gives the connection between a matrix Lie algebra and the corresponding Lie group.… … Wikipedia
Linear inequality — In mathematics a linear inequality is an inequality which involves a linear function.Formal definitionsWhen operating in terms of real numbers, linear inequalities are the ones written in the forms: f(x) < b ext{ or }f(x) leq b,where f(x) is a… … Wikipedia
Muirhead's inequality — In mathematics, Muirhead s inequality, named after Robert Franklin Muirhead, also known as the bunching method, generalizes the inequality of arithmetic and geometric means. Contents 1 Preliminary definitions 1.1 The a mean 1.2 Doubly stochastic… … Wikipedia
Weyl's inequality — In mathematics, there are at least two results known as Weyl s inequality .Weyl s inequality in number theoryIn number theory, Weyl s inequality, named for Hermann Weyl, states that if M , N , a and q are integers, with a and q coprime, q > 0,… … Wikipedia
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
Sakurai's Bell inequality — The intention of a Bell inequality is to serve as a test of local realism or local hidden variable theories as against quantum mechanics, applying Bell s theorem, which shows them to be incompatible. Not all the Bell s inequalities that appear in … Wikipedia
Brascamp-Lieb inequality — In mathematics, the Brascamp Lieb inequality is a result in geometry concerning integrable functions on n dimensional Euclidean space R n . It generalizes the Loomis Whitney inequality, the Prékopa Leindler inequality and Hölder s inequality, and … Wikipedia
Bernoulli's inequality — In real analysis, Bernoulli s inequality is an inequality that approximates exponentiations of 1 + x .The inequality states that:(1 + x)^r geq 1 + rx!for every integer r ge; 0 and every real number x > −1. If the exponent r is even, then the… … Wikipedia
