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.
A note on the inversion of Sylvester matrices in control systems.
A note on the IPF algorithm when the marginal problem is unsolvable
In this paper we analyze the asymptotic behavior of the IPF algorithm for the problem of finding a 2x2x2 contingency table whose pair marginals are all equal to a specified 2x2 table, depending on a parameter. When this parameter lies below a certain threshold the marginal problem has no solution. We show that in this case the IPF has a “period three limit cycle” attracting all positive initial tables, and a bifurcation occur when the parameter crosses the threshold.
A note on the likelihood and moments of the skew-normal distribution.
In this paper an alternative approach to the one in Henze (1986) is proposed for deriving the odd moments of the skew-normal distribution considered in Azzalini (1985). The approach is based on a Pascal type triangle, which seems to greatly simplify moments computation. Moreover, it is shown that the likelihood equation for estimating the asymmetry parameter in such model is generated as orthogonal functions to the sample vector. As a consequence, conditions for a unique solution of the likelihood...
A Note on the Numerical Solution of a Fourth-Order Parabolic Partial Differential Equation
A note on the numerical solution of complex Hamiltonian and skew-Hamiltonian eigenvalue problems.
A note on the perturbed trapezoid inequality.