Remark to the problem of eigenvalues of Schrödinger equation
Remarks on A. B. Turowicz's and Z. Mikołajska's notes on approximations to roots of positive numbers
Remarks on inverse of matrix polynomials
Analysis of a non-classically damped engineering structure, which is subjected to an external excitation, leads to the solution of a system of second order ordinary differential equations. Although there exists a large variety of powerful numerical methods to accomplish this task, in some cases it is convenient to formulate the explicit inversion of the respective quadratic fundamental system. The presented contribution uses and extends concepts in matrix polynomial theory and proposes an implementation...
Řešení algebraických a transcendentních rovnic na analogovém počítači
Résolubilité et hypoellipticité de systèmes surdéterminés
Résolubilité Gevrey d'opérateurs différentiels à coefficients constants
Si discute l'esistenza di soluzioni su insiemi aperti per equazioni differenziali iperbolico-ipoellittiche. Si dà una caratterizzazione geometrica quasi completa per aperti .
Résolution parallèle de problèmes aux limites non linéaires
Résultat numérique de régularité du problème de Stokes et du laplacien itéré dans un polygone
Root Finding by Divided Differences.
Roots of the circular cylindrical shell characteristic equation
Safe convergence of Chebyshev-like method.
Safe convergence of Tanabe's method.
Semi-smooth Newton methods for the Signorini problem
Semi-smooth Newton methods are analyzed for the Signorini problem. A proper regularization is introduced which guarantees that the semi-smooth Newton method is superlinearly convergent for each regularized problem. Utilizing a shift motivated by an augmented Lagrangian framework, to the regularization term, the solution to each regularized problem is feasible. Convergence of the regularized problems is shown and a report on numerical experiments is given.
Simplex Bisection and Sperner Simplices
Simultaneous Inclusion of the Zeros of a Polynomial.
Simultaneous triangularization of commuting matrices for the solution of polynomial equations
We present an extension of the QR method to simultaneously compute the joint eigenvalues of a finite family of commuting matrices. The problem is motivated by the task of finding solutions of a polynomial system. Several examples are included.
Solution explicite du problème de Cauchy pour un opérateur hyperbolique à caractéristiques non régulières
Solution of non-linear equations systems by Newton's method and the gradients method
Solution of the Undetermined Nonlinear Equations by Stationary Iteration Methods.
Solving Large Nonlinear Systems of Equations by an Adaptive Condensation Process.