A Note on G-Generating Families and Isolated Gerschgorin Disks.
A note on Halley's method.
A note on Halley's method
A note on linear approximations of matrices
A Note On M. Prešić's Method
A note on M. Presic's method.
A note on matrix summability and rates on convergence
A Note on Multistep Methods and Attracting Sets of Dynamical Systems.
A note on Newbery's algorithm for discrete least-squares approximation by trigonometric polynomials.
A note on nonhomogeneous initial and boundary conditions in parabolic problems solved by the Rothe method
When solving parabolic problems by the so-called Rothe method (see K. Rektorys, Czech. Math. J. 21 (96), 1971, 318-330 and other authors), some difficulties of theoretical nature are encountered in the case of nonhomogeneous initial and boundary conditions. As a rule, these difficulties lead to rather unnatural additional conditions imposed on the corresponding bilinear form and the initial and boundary functions. In the present paper, it is shown how to remove such additional assumptions in the...
A note on numerically consistent initial values for high index differential-algebraic equations.
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