Algorithm to solve the partial eigenvalue problem for large profile matrices

An algorithm is proposed for computing some of the eigenvalues and the corresponding eigenvectors of the generalized eigenvalue problem for symmetric positive-definite matrices stored in profile form on disk.Translated from Kibernetika i Sistemnyi Analiz, No. 2, pp. 141–147, March–April, 1992.     

Measuring the period of digital electric signals

The errors of measurement of the period of digital signals approximated by rectangles and trapeziums are considered.Translated from Izmeritel'naya Tekhnika, No. 1, pp. 50–54, January, 1995.     

A production system with programmable solution seeking strategies

We describe the design and operation of a support system intended for solving problems that are not readily formalizable. It consists of two main components: the first is an interpreter for a language of productions involving predicates and functions, and the second enables the user to interpret the solutions in any particular terminology.Translated from Kibernetika, No. 4, pp. 97–101, 117, July–August, 1989.     

Thermodynamic calculations of the solubility of carbonitrides in the austenite of constructional steels

Ural Polytechnic Institute. Translated from Metallovedenie i Termicheskaya Obrabotka Metallov, No. 11, pp. 32–38, November, 1989.     

Accuracy and stability of integration algorithms for elastoplastic constitutive relations

An analysis of accuracy and stability of algorithms for the integration of elastoplastic constitutive relations is carried out in this paper. Reference is made to a very general internal variable formulation of plasticity and to two families of algorithms that generalize the well-known trapezoidal and midpoint rules to fit the present context. Other integration schemes such as the radial return, mean normal and closest point procedures are particular cases of this general formulation. The meaning of first and second-order accuracy in the presence of the plastic consistency condition is examined in detail, and the criteria derived are used to identify two second-order accurate members of the proposed algorithms. A general methodology is also derived whereby the numerical stability properties of integration schemes can be systematically assessed. With the aid of this methodology, the generalized midpoint rule is seen to have far better stability properties than the generalized trapezoidal rule. Finally, numerical examples are presented that illustrate the performance of the algorithms.