The phrase "numerical range" is correct and is used in written English.
It usually refers to a span of numbers that covers a wide range of values, typically used in mathematics and statistics. For example, you could say: "The numerical range of these numbers extends from -2 to 7".
Table G.4: Numerical range limits in -bit two's-complement.
A modified matlab program and image show the effect of log-compressing the numerical range.
We prove an inequality related to polynomial functions of a square matrix, involving the numerical range of the matrix.
Our results indicate that the additional phase information provide by the numerical range can reduce the conservatism associated with singular value based approaches in estimating the process uncertainty.
Using this result, we study the relation between the spectrum of a self-adjoint operator A and its multidimensional numerical range.
It turns out that the multidimensional numerical range is a convex set whose extreme points are sequences of eigenvalues of the operator A. Every collection of eigenvalues which can be obtained by the Rayleigh Ritz formula generates an extreme point of the multidimensional numerical range.
By using a perturbation of the kernelKα(T) we give, for any operatorTof classCρacting on a separable Hilbert spaceH, a short proof of the power inequality for the numerical range and an accurate conjugacy (to a contraction) result forT.
Applications presented in the book include numerical ranges, invariant semidefinite subspaces, differential equations with symmetries, and matrix equations.
This definition covers various kinds of generalized numerical ranges for different values of p,q,m.
To show that A is sectorial, we show that the numerical ranges satisfy the equality Theta(A) = Theta(mathcal{T}).
Because this model does not use numerical ranges in the definitions, the partitioning strategies ECS and BVS generate the same results.
