BIBLIOGRAPHY OF SOVIET WORKS ON INTERVAL COMPUTATIONS Version of May 20, 1992 To date authors from the former Soviet Union have published or prepared for publication at least 500 papers devoted to various areas of Interval Computations. Unfortunately, due to the language barrier and problems with access these works are practically unknown outside the former Soviet Union. This bibliography is a step to remedy this situation. The bibliography includes references to the works in Russian of the authors who were the citizens of the Soviet Union the works were written. The list, prepared in the Computer Center of the Siberian Branch of the Russian Academy of Sciences (Krasnoyarsk) under the management of Dr. Boris S.Dobronets, was taken as the basis for the bibliography. Later, the list was corrected, appended and translated into English by Lyudmila V.Kupriyanova (Saratov State University), and edited by Alexander G.Yakovlev (Moscow, Moscow Institute for New Technologies in Education) and R.Baker Kearfott (University of Southwestern Louisiana). As a basis for the bibliographic standard, the standard in the following publications was taken: Garloff, J. Interval mathematics. A bibliography. Freib. Int.-Ber. 6 (1985), p. 1-222; Garloff, J. Bibliography on interval mathematics. Continuation. Freib. Int.-Ber. 2 (1987), p. 1-50. The Editorial Board of the International Journal "Interval Computations" can offer translation upon demand of these texts (papers, reports, books, etc.) into English. The following rules apply to orders for translations: a) the fee for a translation is $5.95 per standard page (2000 characters or equivalent space with tables, formulas or pictures) of a source text; b) a translation can be supplied in the following forms: - 2 hardcopies printed by ChiWriter via ordinary mail for one fee; - 2 hardcopies via ordinary mail and the corresponding ChiWriter file via e-mail for a double fee; - ChiWriter file only via e-mail for a one and half fee; c) all rights on translations belong to the Editorial Board of "Interval Computations"; d) money for a translation, along with instructions concerning which form is desired, should be sent to an official representative of the journal. Our representatives are: IN THE WESTERN HEMISPHERE: R.B.Kearfott Department of Mathematics University of Southwestern Louisiana U.S.L. Box 4-1010 Lafayette, LA 70504-1010 USA Tel.: (318) 231-5270 E-mail: rbk@usl.edu (Internet) IN EUROPE: D.Shiriaev Institut fuer Angewandte Mathematik Universitaet Karlsruhe Kaiserstrasse 12 W-7500, Karlsruhe 1 Germany Tel.: +49 (721) 377935 Fax : +49 (721) 385979 E-mail: dima@iamk4508.rz.uni-karlsruhe.de We can also supply foreign readers with copies of these materials in Russian. To order copies, please contact one of the above representatives in this case, too. The price of copying, postage, and handling is $0.25 per page. The first part of the bibliography (76 references) has been published in the second issue of our journal. In subsequent issues of "Interval Computations" the continuation, corrections and new references will be published. We also plan to publish the source Russian version. If necessary we are willing to send you modified and additional references via e-mail. V.M.Nesterov, Editor-in-Chief e-mail: nest@nit.spb.su 1. Abramovich, F.P.; Vagenknekht, M.A.; Khurgin, Ya.I. Solving fuzzy systems of linear algebraic equations of LR- type. Decision making methods and systems 14, 35-47 (1987) 2. Akhmedjanov, F.M.; Krymsky, V.G.; Glyashov, V.G.; Chelyshev, S.Yu. On the stability of dynamical systems with interval characteristic polynomials. Ufa, 1989, deposited in VINITI 19.12.89, 7504-B89 3. Alexandrov, A.G.; Khlebalin, N.A. Analytical synthesis of regulators under incomplete information on parameters of a controlled object. "Analytical methods for the synthesis of regulators. Coll. of scien. proc.", Saratov Polytechnic Institute, Saratov, 138-147 (1981) 4. Alexandrov, A.G.; Khlebalin, N.A.; An interval method and software to analyze stability under uncertainty in the parameters. Report on scientific-research work on automatic control systems for aircraft, Polytechnic Institute, Saratov, 112 (1982) 4.1. Alexandrov, A.G.; Khlebalin, N.A.; Analytical synthesis of regulators with incomplete information on the parameters of a controlled plant. "3-rd Volga Scien.-Techn. Conf., Volgograd", NIPIASU, 1984 4.2. Analytical design of regulators for multimode aircraft with uncertain parameters. Report on scientific-research work (intermediate), scien. adviser N.A.Khlebalin, Polytechnic Institute, Saratov, 48 (1987) 4.3. Analytical design of regulators for multimode aircraft with uncertain parameters. Report on scientific-research work (final), scien. adviser N.A.Khlebalin, Polytechnic Institute, Saratov, 74 (1987) 5. Bagaev, B.M.; Dobronets, B.S. A two-sided method for solving an ordinary differential equation with a small parameter. Krasnoyarsk, 1979, deposited in VINITI, 3432-79 6. Bardachenko, V.V.; Krastyn, Ya.A.; Merkuriev, Yu.A.; Kochetov, S.P. Research on analytical modelling accuracy in the problem of diagnosing the reduction gear. "All-Union School on Raising Longevity and Reliability of Machines and Instruments, Abstracts", Kuibyshev, 50-51 (1981) 7. Bardachenko, V.V.; Kristinkov, D.S.; Merkuriev, Yu.A. Minimax estimate of the accuracy of identification of controlled plants under uncertainty. "All-Union Conf. Perspectives and Experience in Incorporation of Statistical Methods in Computer-Aided Control Systems for Technological Processes. Abstracts", Moscow, 7-8 (1981) 8. Bazarov, M.B. A modified second order interval method for ordinary differential equations. Voprosy vychisl. i prikl. mat. 69, 106-115 (1982) 9. Bazarov, M.B. Interval methods of Adams-Stoermer type for second order ordinary differential equations. Voprosy vychisl. i prikl. mat. 72, 44-54 (1983) 10. Bazarov, M.B. On the interval solution of the Davies' problem. Voprosy vychisl. i prikl. mat. 75, 124-131 (1984) 11. Bazarov, M.B. Interval program package for solving systems of ordinary differential equations on the ES EVM. "Conversational systems in problems of control. Coll. of scien. proc.", Novosibirsk Institute for Electrical Engineering, Novosibirsk, 92-97 (1987) 12. Bazarov, M.B.; Kalmykov, S.A.; Shokin, Yu.I.; Yuldashev, Z.Kh. Program package "INAN-1" for the automatic design of interval algorithms for solving ordinary differential equations. Preprint 16, Computer Center, Siberian Branch of the USSR Academy of Sciences, Krasnoyarsk, 30 (1984) 13. Bazarov, M.B.; Shokin, Yu.I.; Yuldashev, Z.Kh. On computing elementary functions in interval arithmetic. "Applied mathematics and mechanics. Coll. of scien. proc. 683", Tashkent University, Tashkent, 26-31 (1982) 14. Bazarov, N.B.; Shokin, Yu.I.; Yuldashev Z.Kh. On design of finite-difference interval methods for ordinary differential equations. Voprosy vychisl. i prikl. mat. 71, 131-144 (1983) 15. Bazarov, M.B.; Yuldashev Z.Kh. An interval algorithm for the 4-th order Runge-Kutta Fehlberg method for ordinary differential equations. Algoritmy, 47, Prikl. programmy diskretnoy mat. 55-62 (1982) 16. Belyaeva, N.P. Applications of interval methods to solving practical problems. Inf.-operat. material (interval analysis), preprint 6, Computer Center, Siberian Branch of the USSR Academy of Sciences, Krasnoyarsk, 4-5 (1988) 17. Belyaeva, N.P. Interval arithmetic with the boundaries in the form of common fractions. Inf.-operat. material (interval analysis), preprint 9, Computer Center, Siberian Branch of the USSR Academy of Sciences, Krasnoyarsk, 4-5 (1989) 18. Belyaeva, N.P. Practical applications of interval analysis. "Proc. 1-st Sov.-Bulg. Seminar on Numerical Processing, Oct. 19-24, 1987", Program Systems Institute of the USSR Academy of Sciences, Pereslavl-Zalessky, 22-26 (1989), deposited in VINITI 21.04.89, 2634-B89 18.1. Bochkov, A.F. Interval models of static plants. "3-rd All-Union Conf. on Perspectives and Experience in Incorporation of Statistical Methods in Computer-Aided Control Systems for Technological Processes, Tula, June 2- 4, 1987. Abstracts. Part 1", Tula, 108-110 (1987) 19. Bochkov, A.F.; Evtushenko, T.V. An approach to the choice of stationary rates of technological processes under uncertainty. Moscow, 1988, deposited in VINITI, 2891-B88 19a. Bochkov, A.F.; Evtushenko, T.V. Optimization of technological processes rates under uncertainty. Moscow, 16 (1988), deposited in VINITI 15.05.88, 2891-B88 19.1. Bochkov, A.F.; Evtushenko, T.V. Optimization of rates of technological processes by interval models. "Questions of cybernetics. Devices and systems." Ed. by N.N.Evtikheev, Moscow, 10-17 (1989) 20. Bochkov, A.F.; Evtushenko, T.V. Choice of permissible stationary rates for nonlinear plants according to interval models. "4-th All-Union Conf. on Perspectives and Experience in Incorporation of Statistical Methods in Computer-Aided Control Systems for Technological Processes, Tula, May 22- 24, 1990. Abstracts, Part 1", Tula, 84-85 (1990) 20.1. Bochkov, A.F.; Evtushenko, T.V. Using interval analysis to find permissible rates of plants with uncertainty. Inf.-operat. material (interval analysis), preprint 17, Computer Center, Siberian Branch of the USSR Academy of Sciences, Krasnoyarsk, 4-6 (1990) 20.2. Bochkov, A.F.; Evtushenko, T.V. Solving quadratic programming problems with interval coefficients in the criterion and constraints. "Proc. All-Union Conf. on Actual Problems of Applied Mathematics, Saratov, May 20-22, 1991", Saratov, 286-286 (1991) 21. Bochkov, A.F.; Evtushenko, T.V.; Yakovleva, L.A. Two approaches to solving quadratic programming problems with interval criterion. "4-th All-Union Conf. on Perspectives and Experience in Incorporation of Statistical Methods in Computer-Aided Control Systems for Technological Processes, Tula, May 22- 24, 1990. Abstracts, Part 1", Tula, 86-87 (1990) 22. Bochkov, A.F.; Milevsky, M.V. An interval model for accounting for the uncertainty in the range of a statistical measure. "3-rd All-Union Conf. on Perspectives and Experience in Incorporation of Statistical Methods in Computer-Aided Control Systems for Technological Processes, Tula, 1987. Abstracts, Part 1", Tula, 110-110 (1987) 23. Bochkov, A.F.; Milevsky, M.V. Interval models - an approach to description of uncertainty. "Questions of cybernetics. Devices and systems." Ed. by N.N.Evtikheev, Moscow, 19-21 (1987) 24. Bochkov, A.F.; Milevsky, M.V. The problem of estimating the parameters of a static plant under interval uncertainty in the input actions. "4-th Scientific-Practical Conf. of Young Scientists and Specialists of the Turkmenian Academy of Sciences. Abstracts", Ashkhabad, 216-217 (1987) 25. Bochkov, A.F.; Milevsky, M.V. Estimating model parameters for plants with interval uncertainty in the output parameters. Moscow, 1988, deposited in VINITI, 926-B88 25a. Bochkov, A.F.; Milevsky, M.V. Estimating parameters for models and plants with interval uncertainty in the output parameters. Moscow, (1988), deposited in VINITI 22.01.88, 926-B88 26. Bochkov, A.F.; Milevsky, M.V. Estimation of parameters of an interval model under restricted drift of the plant's characteristics. "Questions of cybernetics. Devices and systems." Ed. by N.N.Evtikheev, Moscow, 9-16 (1988) 26.1. Bochkov, A.F.; Zung, Nguen Vyet An approach to identification of nonlinear dynamical plants based on interval experimental data. "Proc. All-Union Conf. on Actual Problems of Applied Mathematics, Saratov, May 20-22, 1991", Saratov, 298-298 (1991) 26.2. Bochkov, A.F.; Skibitsky, N.V. An approach to obtaining a model with given accuracy properties in problems of energetics. "8-th All-Union Conf. on Planning and Automation of Experiments in Scientific Research, Leningrad, September 24-26, 1986. Abstracts, Part 2", Leningrad, 4-4 (1986) 27. Bochkov, A.F.; Yakovleva, L.A. Optimization of processes by interval models with a quadratic criterion. Moscow, 13 (1990), deposited in VINITI 2.08.90, 4459-B90 27.1. Bochkov, A.F.; Yakovleva, L.A. Optimization by an interval quadratic criterion. "Proc. Conf. on Integration of System for Purpose Training of Specialists and Computer-Aided Technological Systems for Different Purposes", Moscow, 71-73 (1990) 27.2. Bochkov, A.F.; Yakovleva, L.A. Methods for experimental optimization of plants with interval output. "Proc. All-Union Conf. on Actual Problems of Applied Mathematics, Saratov, May 20-22, 1991", Saratov, 76-79 (1991) 28. Bochkov, A.F.; Yuy, Chunsyuan An approach to designing interval models of linear stochastic plants. "3-rd All-Union Conf. on Perspective Methods of Planning and Analyzing of Experiments in Research on Random Fields and Processes. Abstracts", Grodno, 9-10 (1988) 29. Bochkov, A.F.; Yuy, Chunsyuan Identification of linear dynamic plants with nonstatistical error. Moscow, 1990, deposited in VINITI, 1537-B90 30. Bordetsky, A.B. Interval procedures for decision making. Inf.-operat. material (interval analysis), preprint 6, Computer Center, Siberian Branch of the USSR Academy of Sciences, Krasnoyarsk, 6-8 (1988) 31. Bordetsky, A.B.; Sychov, A.V. Interval models of cluster analysis and their applications. Inf.-operat. material (interval analysis), preprint 9, Computer Center, Siberian Branch of the USSR Academy of Sciences, Krasnoyarsk, 5-7 (1989) 32. Bykov, V.I.; Dobronets, B.S. A two-sided method for chemical kinetics equations. Chisl. metody mekhaniki splosh. sredy 4 (vol. 16), Novosibirsk, 13-22 (1985) 33. Bykov, V.I.; Dobronets, B.S. On interval analysis of chemical kinetics equations. "Mathematical problems of chemical kinetics", Nauka, Novosibirsk, 226-232 (1989) 34. Chernousko, F.L. Ellipsoidal bounds for sets of attainability and uncertainty in control problems. Optimal Control Appl. Meth. 3, 187-202 (1982) 35. Chernousko, F.L. State estimation for dynamical systems by means of ellipsoids. Manuscript, 1986 35.1. Chestnov, V.N. The frequency criterion of the stability of dynamical systems with a linear dependence of coefficients on one interval parameter. "Proc. All-Union Conf. on Actual Problems of Applied Mathematics, Saratov, May 20-22, 1991", Saratov, 127-130 (1991) 35.2. "Conf. on Interval Mathematics, May 23-25, 1989", Saratov, 60 (1989) 36. Danilov, V.A. Designing an interval method for nonlinear ODEs based on Euler's method and choice of step to take account of stability and stiffness. "Differential equations and numerical methods", Novosibirsk, 246-251 (1986) 37. Davydovich, M.V. Use of piecewise constant basis functions for solving the boundary value problem for microstripe resonator in noncanonical form by Galerkin's method. "Conf. on Interval Mathematics, May 23-25, 1989", Saratov, 8-9 (1989) 38. Demchenko, A.I. Application of interval mathematics to aggregating the digital model of a plot. "Conf. on Interval Mathematics, May 23-25, 1989", Saratov, 9-11 (1989) 39. Demchenko, A.I. Synthesis of transport networks under uncertainty of source information. "Proc. Seminar on Interval Mathematics, May 29-31, 1990", Saratov, 10-16 (1990) 40. Dmitriev, M.G.; Dobronets, B.S. A two-sided solution of an optimal control problem. "Modern problems of informatics, hardware and automation", VINITI and GKNT, Moscow, (1985) 41. Dmitriev, M.G.; Soltanov, S.T. Asymptotic estimates of accessibility sets for linear singularly perturbed controlled system. "Proc. Seminar on Interval Mathematics, May 29-31, 1990", Saratov, 17-24 (1990) 42. Dmitriev, V.G.; Zholudeva, N.A.; Kreynovich, V.Yu. Application of interval analysis methods to estimating the algorithmic error for information-metering systems. Izmereniya, kontrol, avtomatizatsiya 1 (53), TsNIITEI Priborostroeniya, 31-40 (1985) 43. Dobronets, B.S. Some questions of interpolation and approximation in interval analysis and its applications to solving boundary value problems. Diploma thesis, State Univ. of Novosibirsk, Novosibirsk, (1976) 44. Dobronets, B.S. Higher-accuracy interval method for nonlinear second order differential equation. Preprint 11, Computer Center, Siberian Branch of the USSR Academy of Sciences, Krasnoyarsk, 2-12 (1979) 45. Dobronets, B.S. A posteriori error estimation for variation-difference solution of a quasi-linear Poisson equation. Krasnoyarsk, 1980, deposited in VINITI, 4718-80 46. Dobronets, B.S. An asymptotically precise method for solving linear algebraic interval systems. "Asympt. and combinator. analysis", Krasnoyarsk, 16-24 (1982), deposited in VINITI, 1610-82 47. Dobronets, B.S. A two-sided method for solving parabolic equations. Chisl. metody mekhaniki splosh. sredy 3 (vol. 15), Novosibirsk, 60-70 (1984) 48. Dobronets, B.S. A two-sided method for solving stiff ODEs. Preprint 1, Computer Center, Siberian Branch of the USSR Academy of Sciences, Krasnoyarsk, (1984) 49. Dobronets, B.S. A two-sided method for solving ordinary differential equations. "Proc. 1-st Sov.-Bulg. Seminar on Numerical Processing, Oct. 19-24, 1987", Program Systems Institute of the USSR Academy of Sciences, Pereslavl-Zalessky, 78-80 (1989), deposited in VINITI 21.04.89, 2634-B89 50. Dobronets, B.S. Estimates of phase states of controlled systems. "Modern problems of mechanics and of mechanical engineering technology", VINITI and GKNT, Moscow, 5-5 (1989) 51. Dobronets, B.S. Parallelepiped bounds of phase states for dynamic systems. "Models and methods of complex systems optimization. Coll. of scien. proc.", Krasnoyarsk, 104-110 (1990) 52. Dobronets, B.S. Two-sided methods for solving systems of ODEs with interval parameters. Inf.-operat. material (interval analysis), preprint 16, Computer Center, Siberian Branch of the USSR Academy of Sciences, Krasnoyarsk, 11-14 (1990) 53. Dobronets, B.S. Two-sided methods for differential equations of chemical kinetics. "Mathematical methods in chemical kinetics", Nauka, Novosibirsk, 68-74 (1990) 54. Dobronets, B.S. Interval analysis and two-sided iterative methods. "Proc. Seminar on Interval Mathematics, May 29-31, 1990", Saratov, 25-31 (1990) 55. Dobronets, B.S. Two-sided bounds of the phase state of dynamic systems. "Control of industrial and technical systems", Krasnoyarsk, Krasnoyarsk Polytechnic Institute, 85-92 (1990) 56. Dobronets, B.S.; Gerasimov, V.A.; Shustrov, M.Yu. Numerical operations of the histogram arithmetic and their applications. Avtomatika i telemekhanika 2, 83-88 (1991) 57. Dobronets, B.S.; Senashov, V.I. On interval extensions of some classes of functions. Interval computations 1, 54-58 (1991) 58. Dobronets, B.S.; Shaydurov, V.V. Two-sided numerical methods. Nauka, Novosibirsk, 208 (1990) 59. Dobronets, B.S.; Shokin, Yu.I.; Yuldashev, Z.Kh. Interpolation problems in interval analysis. Voprosy vychisl. i prikl. matematiki 31, Tashkent, 9-16 (1975) 60. Dobronets, B.S.; Yuldashev, Z.Kh. Interval-analytical methods for solving boundary value problems. "Materials of 14-th All-Union Student Conf. Mathematics, April 1976", State Univ. of Novosibirsk, Novosibirsk, 39-43 (1976) 61. Dombrovskaya, L.M.; Nazarenko, T.I.; Chistyakova, O.G. Interval variants of Adams' type methods for solving the Cauchy problem for ordinary differential equations. Optimization methods and their applications 9, Irkutsk, 130-139 (1979) 62. Dugarova, I.V. A method for computing interval coefficients of the characteristic polynomial of an interval matrix. Moscow, 1988, deposited in VINITI, 1187-B88 63. Dugarova, I.V. Methods for computing the determinants of matrices with interval elements. Moscow, 1988, deposited in VINITI 11.02.88, 1177-B88 64. Dugarova, I.V. Software designing for control of the technological process in the cutting-machine. Moscow, 33 (1988), deposited in VINITI, 4097-B88 65. Dugarova, I.V. A method for computing interval coefficients of the characteristic polynomial. Moscow, 17 (1988), deposited in VINITI 11.02.88, 1187-B88 66. Dugarova, I.V. Methods for computing the determinant of an interval matrix. Moscow, 29 (1988), deposited in VINITI 11.02.88, 1177-B88 67. Dugarova, I.V. Application of interval analysis for the design of control systems with uncertain parameters. Author's report on her doctoral thesis, Tomsk, 189 (1989) 68. Dugarova, I.V. Application of interval analysis to the design of control systems with uncertain parameters. Doctoral thesis, Tomsk, 189 (1989) 69. Dugarova, I.V.; Smagina, E.M. Asymptotical tracing of the constant signal in a system with uncertain parameters. "Optimization of control systems and of filtering. Coll. of proc.", Sib. Phys.-Techn. Institute of Tomsk University, Tomsk, 121-133 (1988), deposited in VINITI 30.02.88, 9225- B88 70. Dugarova, I.V.; Smagina, E.M. Asymptotical tracing of the constant signal in a system with uncertain parameters. "6-th All-Union Workshop on Control of Multilinked Systems, Suzdal, March, 1990. Abstracts", Moscow, 41-42 (1990) 71. Dugarova, I.V.; Smagina, E.M. Analysis of dynamic properties of control systems with P- and PI-regulators in the cutting-machine. "2-nd Scientific-Technical Conf. on Microprocessor Systems in Automatics, Novosibirsk, May 17-18, 1990, Abstracts", Novosibirsk, 47-48 (1990) 72. Dugarova, I.V.; Smagina, E.M. Application of interval analysis methods to ensure the specified job rate rate for the cutting-machine. "Proc. Seminar on Interval Mathematics, May 29-31, 1990", Saratov, 32-39 (1990) 73. Dugarova, I.V.; Smagina, E.M. Ensuring stability of a system with uncertain parameters. Avtomatika i telemekhanika 11, 176-182 (1990) 74. Dugarova, I.V.; Smagina, E.M. On the technological process in cutting-machine control. Automatic control for plants with varying characteristics, Novosibirsk, 60-66 (1990) 75. Dugarova, I.V.; Smagina, E.M. The quality analysis of a control system with P and PI- regulators with the cutting-machine example. Theory and Technique of Automatic Control, Educational Scientific Production Division "Cybernetics" of the Tomsk Polytechnic Institute, Tomsk, 86-92 (1990), deposited in VINITI 15.02.91, 775-B91 76. Dugarova, I.V.; Smagina, E.M. Ensuring given precision in control systems with uncertain parameters of interval type. "Adaptive and Expert Control Systems. Proc. of 5-th Leningrad Symposium on the Adaptive System Theory, Leningrad, April 17-18, 1991", part 3, Leningrad, 33-35 (1991) 76.1. Dyvak, N.P. Interval models of errors and their use in applied tasks. "Proc. All-Union Conf. on Actual Problems of Applied Mathematics, Saratov, May 20-22, 1991", Saratov, 70-75 (1991) 77. Efanov, V.N.; Krymsky, V.G.; Glyashov, R.Z. An algorithmic procedure for synthesis of multilinked systems with interval characteristic polynomials. Ufa, 1989, deposited in VINITI 19.12.89, 7505-B89 77.1. Efanov, V.N.; Krymsky, V.G.; Glyashov, R.Z. Synthesis of permissible controls for dynamical plants with interval parameters. "Proc. All-Union Conf. on Actual Problems of Applied Mathematics, Saratov, May 20-22, 1991", Saratov, 141-150 (1991) 78. Ermakov, O.B. A two-sided method for solving a system of ordinary differential equations with extradiagonal monotonicity of right hand sides. "Proc. Seminar on Interval Mathematics, May 29-31, 1990", Saratov, 40-47 (1990) 79. Ermakov, O.B.; Zyuzin, V.S. On the question on two-sided approximations for solving systems of ordinary differential equations which take account of computational error. "Conf. on Interval Mathematics, May 23-25, 1989", Saratov, 11-14 (1989) 80. Evtushenko, T.V. Choice of stationary rates under uncertainty in the coefficients of models of technological processes. "3-rd All-Union Conf. on Perspectives and Experience in Incorporation of Statistical Methods in Computer-Aided Control Systems for Technological Processes, Tula, 1987, Abstracts, Part 1", Tula, 194-195 (1987) 81. Fomin, Yu.I.; Cherkasov, A.A. Parallel methods for solving the Cauchy problem for ordinary differential equations in interval realization. "Program systems of mathematical physics. Proc. 8-th All- Union Seminar on Program Systems in Mathematical Physics", Novosibirsk, 62-69 (1984) 82. Fomin, Yu.I.; Fomin, A.Yu.; Fomenko, A.P. A method of iteration in interval spaces. Taganrog, 1988, deposited in VINITI, 4818-B88 83. Fomin, Yu.I.; Kodachigova, L.K. A sweep method for linear algebraic system with strongly sparse tri-diagonal matrix. Taganrog, 1988, deposited in VINITI, 3692-B88 84. Fomin, Yu.I.; Kodachigova, L.K. An interval sweep method for an interval linear algebraic system with strongly sparse tri-diagonal matrix. Taganrog, 1988, deposited in VINITI, 3694-B88 85. Fomin, Yu.I.; Shokin Yu.I. A machine implementation of an interval variant of the sweep method. Preprint 16, Computer Center, Siberian Branch of the USSR Academy of Sciences, Krasnoyarsk, 34 (1983) 86. Fomin, Yu.I.; Shokin, Yu.I. Introduction to machine interval arithmetic. Preprint 12, Institute for Theoretical and Applied Mechanics, Novosibirsk, 34 (1983) 87. Frolov, A.P. Functional analyzer for the languages C3-FORTRAN and PSI- FORTRAN. "Conf. on Interval Mathematics, May 23-25, 1989", Saratov, 57-58 (1989) 88. Frolov, A.P. Transformation of program structure to simplify interval computations. "Proc. Seminar on Interval Mathematics, May 29-31, 1990", Saratov, 111-112 (1990) 89. Gabasov, R.; Davranov, B.E.; Tagaynazarov, S.; Khritonenko, N.V. An adaptive method for solving an interval problem of linear programming. Part 1: Optimality criterion. Minsk, 1989, deposited in VINITI, 958-B89 90. Gabasov, R.; Davranov, B.E.; Tagaynazarov, S.; Khritonenko, N.V. An adaptive method for solving an interval problem of linear programming. Part 2: Algorithm. Minsk, 1989, deposited in VINITI, 957-B89 91. Gaganov, A.A. On the complexity of computing the range of values for a multivariate polynomial. Kibernetika 4, 6-8 (1985) 92. Gerasimov, V.A.; Dobronets, B.S. Histogram arithmetic in a problem of industrial process control. Inf.-operat. material (interval analysis), preprint 6, Computer Center, Siberian Branch of the USSR Academy of Sciences, Krasnoyarsk, 10-12 (1988) 93. Gerasimov, V.A.; Dobronets, B.S.; Shustrov, M.Yu. A program package for histogram arithmetic. Inf.-operat. material (interval analysis), preprint 9, Computer Center, Siberian Branch of the USSR Academy of Sciences, Krasnoyarsk, 7-9 (1989) 94. Gerasimov, V.A.; Dobronets, B.S.; Shustrov, M.Yu. Numerical operations on histograms and their application in optimization problems. "Proc. 1-st Sov.-Bulg. Seminar on Numerical Processing, Oct. 19-24, 1987", Program Systems Institute of the USSR Academy of Sciences, Pereslavl-Zalessky, 147-173 (1989), deposited in VINITI 21.04.89, 2634-B89 95. Gilyazov, S.F.; Morozov, V.A. On error estimation in the solution of linear algebraic systems. "Mathematical processing and interpretation of the results of physics experiments", Moscow, 24-28 (1989) 96. Gerasimov, V.A.; Shustrov, M.Yu. Application of histogram arithmetic for multi-criteria problems with random input data. Inf.-operat. material (interval analysis), preprint 6, Computer Center, Siberian Branch of the USSR Academy of Sciences, Krasnoyarsk, 12-14 (1988) 97. Gerasimov, V.A.; Shustrov M.Yu. Solving practical problems with histogram arithmetic. "Conf. on Interval Mathematics, May 23-25, 1989", Saratov, 3-5 (1989) 98. Gerasimov, V.A.; Shustrov, M.Yu. Standard mathematical functions in histogram computations. Inf.-operat. material (interval analysis), preprint 9, Computer Center, Siberian Branch of the USSR Academy of Sciences, Krasnoyarsk, 9-10 (1989) 99. Glazunov, N.M. An interval analysis subroutine library. "Software for computers. Coll. of scien. proc.", Institute for Cybernetics of the Ukrainian Academy of Sciences, Kiev, 20-23 (1982) 100. Glazunov, N.M. Extension of the REDUCE-2 system by computational means to account for rounding errors on the ES EVM. "Systems for analytical transformations in mechanics, Abstracts of all-union conferences", Gorky, Gorky State Univ. 142-143 (1984) 101. Glazunov, N.M. A semantic method for debugging and testing programs which prove mathematical theorems. 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