#
Publication search

with departure from normality as keyword

Sulewski, P.
Published in
Lobachevskii Journal of Mathematics

AbstractThe main aim of this paper is to introduce a new flexible distribution which generalizes the normal distribution. Some properties of the introduced distribution such as PDF, CDF, hazard function, quantiles, moments and generator are derived. Overdispersion, underdispersion and equidispersion are analyzed. The unknown parameters of the distr...

Bandtlow, Oscar F.
Published in
Integral Equations and Operator Theory

For a, α > 0 let E(a, α) be the set of all compact operators A on a separable Hilbert space such that sn(A) = O(exp(-anα)), where sn(A) denotes the n-th singular number of A. We provide upper bounds for the norm of the resolvent (zI − A)−1 of A in terms of a quantity describing the departure from normality of A and the distance of z to the spectrum...

Bazán, Fermin S. Viloche

Let Pm(z) be a matrix polynomial of degree m whose coefficients At Î Cq×q satisfy a recurrence relation of the form: h kA0+ h k+1A1+...+ h k+m-1Am-1 = h k+m, k > 0, where h k = RZkL Î Cp×q, R Î Cp×n, Z = diag (z1,...,z n) with z i ¹ z j for i ¹ j, 0 Î Cn×q. The coefficients are not uniquely determined from the recurrence relation but the polynomial...

Ipsen, I. C. F.
Published in
BIT Numerical Mathematics

Expressions and bounds are derived for the residual norm in GMRES. It is shown that the minimal residual norm is large as long as the Krylov basis is well-conditioned. For scaled Jordan blocks the minimal residual norm is expressed in terms of eigenvalues and departure from normality. For normal matrices the minimal residual norm is expressed in te...