A note on computing the generalized inverse of a matrix .
A note on confidence interval for the power of the one sample test.
A note on consecutive ones in a binary matrix.
A note on contact shape optimization with semicoercive state problems
This note deals with contact shape optimization for problems involving “floating” structures. The boundedness of solutions to state problems with respect to admissible domains, which is the basic step in the existence analysis, is a consequence of Korn’s inequality in coercive cases. In semicoercive cases (meaning that floating bodies are admitted), the Korn inequality cannot be directly applied and one has to proceed in another way: to use a decomposition of kinematically admissible functions and...
A note on determination of eigenvalues and eigenfunctions of bounded self-adjoint operators
A note on direct methods for approximations of sparse Hessian matrices
Necessity of computing large sparse Hessian matrices gave birth to many methods for their effective approximation by differences of gradients. We adopt the so-called direct methods for this problem that we faced when developing programs for nonlinear optimization. A new approach used in the frame of symmetric sequential coloring is described. Numerical results illustrate the differences between this method and the popular Powell-Toint method.
A note on estimates of diagonal elements of the inverse of diagonally dominant tridiagonal matrices.
A note on finite quadrature rules with a kind of Freud weight function.
A note on generation of sequences of pseudorandom numbers with prescribed autocorrelation coefficients
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.