In mathematics, the operator norm measures the size of certain linear operators by assigning each a real number called its operator norm. Introduction and definition · Examples · Properties

28 февр. 2018 г. · For example if A=[0100] then the norm of A is certainly non-zero, since A≠0, but 0 is the only eigenvalue. What you say is correct if A is a ... Why is the Operator Norm so hard to calculate? Understanding the operator norm through this example? Другие результаты с сайта math.stackexchange.com

The operator norm of a linear operator T:V->W is the largest value by which T stretches an element of V, ||T||=sup_(||v||=1)||T(v)||.

Продолжительность: 23:36
Опубликовано: 31 авг. 2020 г.

Solution: Let L be the linear transformation corresponding to the first matrix and v = (x, y) be a vector. Then. L(v) = (4x,−4y) = p. (4x)2 + (−4y)2 = 4.

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Опубликовано: 3 нояб. 2020 г.

22 мар. 2013 г. · By convention, if V is the zero vector space, any operator from V to W must be the zero operator and is assigned zero norm.

Another fundamental example is the eumann series. & =&% L converges in the operator norm to ( - L) $ ±. ؤ . ( & =&% L ) ( - L) = .

The choice of p=2 p = 2 is arbitrary, and we can define more general operator norms ||⋅||p | | ⋅ | | p and ||⋅||p,q | | ⋅ | | p , q in a similar manner. The ...