A Note on Optimal Block-Scaling of Matrices.
A note on order statistics from symmetrically distributed samples
We present a first moment distribution-free bound on expected values of L-statistics as well as properties of some numerical characteristics of order statistics, in the case when the observations are possibly dependent symmetrically distributed about the common mean. An actuarial interpretation of the presented bound is indicated.
A Note on Partial Pivoting and Gaussian Elimination.
A note on polynomial approximation in Sobolev spaces
A note on polynomial approximation in Sobolev spaces
For domains which are star-shaped w.r.t. at least one point, we give new bounds on the constants in Jackson-inequalities in Sobolev spaces. For convex domains, these bounds do not depend on the eccentricity. For non-convex domains with a re-entrant corner, the bounds are uniform w.r.t. the exterior angle. The main tool is a new projection operator onto the space of polynomials.
A Note on Polynomial Splines with Free Knots.
A note on quasi-monotone operators.
A note on regularity and positive definiteness of interval matrices
We present a sufficient regularity condition for interval matrices which generalizes two previously known ones. It is formulated in terms of positive definiteness of a certain point matrix, and can also be used for checking positive definiteness of interval matrices. Comparing it with Beeck’s strong regularity condition, we show by counterexamples that none of the two conditions is more general than the other one.
A note on symmetries of invariant sets with compact group actions
A note on symplectic block reflectors.
A note on the accuracy of symmetric eigenreduction algorithms.
A note on the approximation of free boundaries by finite element methods
A Note on the Approximation of Mildly Nonlinear Dirichlet Problems by Finite Differences.
A Note on the “Constructing” of Nonstationary Methods for Solving Nonlinear Equations with Raised Speed of Convergence
This paper is partially supported by project ISM-4 of Department for Scientific Research, “Paisii Hilendarski” University of Plovdiv.In this paper we give methodological survey of “contemporary methods” for solving the nonlinear equation f(x) = 0. The reason for this review is that many authors in present days rediscovered such classical methods. Here we develop one methodological schema for constructing nonstationary methods with a preliminary chosen speed of convergence.
A note on the construction of nonseparable wavelet bases and multiwavelet matrix filters of , where .
A note on the difference schemes for hyperbolic equations.
A note on the difference schemes for hyperbolic-elliptic equations.
A note on the effect of numerical quadrature in finite element eigenvalue approximation.
A note on the efficiency of residual-based a posteriori error estimators for some mixed finite element methods.
A Note on the Estimation of Total Weight in Chemical Balance Weighing Designs.