JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS: Vol. 33, No. 3, MARCH 1981

BOOK NOTICES ~

Vinh, N. X., Busemann, A., and Culp, R. D., Hypersonic and Planetary Entry Flight Mechanics, The University of Michigan Press, Ann Arbor, Michigan, 1980, 357 pages.

Contents. Preface. Planetary atmospheres and aerodynamic forces. Equa- tions for flight over a spherical planet. Performance in extra-atmospheric flight. Powered phase. Return to the atmosphere. Basic equations for planar entry trajectories. Analysis of first-order planetary entry solutions. Loh's second-order theory for entry trajectories. Aerodynamic heating. Yaroshevskii's theory for entry into planetary atmospheres. Chapman's theory for entry into planetary atmospheres. Entry corridor. Unified theory for entry into planetary atmospheres. Solution of the exact equations using directly matched asymptotic expansions. Orbit contraction due to atmos- pheric drag. Flight with lift modulation. Lift modulation with constraints on speed and flight path angle. Lateral maneuvers.

Singh, M. G., and Titli, A., Editors, Handbook of Large-Scale Systems Engineering Applications, North-Holland Publishing Company, Amster- dam, Holland, 1979, 564 pages.

Contents. Preface. Acknowledgments. Methodology. Aggregation and stability. On aggregation of similar dynamic systems. On the use of aggre- gation techniques. Input-output stability of large-scale systems. Vector Lyapunov functions and stability of interconnected systems. Stability approach to robust control for interconnected systems. Decomposition, optimization, and control. Multistage decomposition algorithms for opti- mizing discrete time dynamic systems with applications. Multilevel systems: information flow in large linear control problems. On the implementation of hierarchical optimization algorithms. Synthesis of robust decentralized control for large-scale systems. Overlapping decentralized control. Large- scale stochastic systems: identification, estimation, and control. Appli- cations. Socio-economic and management systems. Hierarchical estimation and identification methods for large-scale systems. Optimal decentralized

1 Books to be reviewed should be forwarded to the Editor-in-Chief. 435

0022-3239/81/0300-0435503.00/0 ~) 1981 Plenum Publishing Corporation

436 JOTA: VOL. 33, NO. 3, MARCH 1981

management of a vertically integrated firm with reference to extractive metallurgy. Framework for systems analysis of large-scale socio-economic programs. Water systems. Large-scale water resources systems. On identification, estimation, and control of river quality using distributed-lag models. Transportation systems. Hierarchical approach to air traffic control. Physical systems modeling for transportation study in India; a nested two-level approach. Telecommunications systems. Decentralized control of telecommunications networks. Systems engineering of hierarchical computer control of large industrial steel mill complexes. Chemical systems. The optimal expansion of a chemical plant. Power systems. Hierarchical estimation, identification, and power systems. Stability of large-scale power systems. Load and frequency control of a large multiarea interconnected power system using optimal decentralized control. Hierarchical control of electric power systems. Application of hierarchical control theory to economic dispatching of electric power distribution systems. Optimal operation of a multireservoir hydroelectric power system. Subject index. Author index.

Contributors. M. Aoki, S. A. Arafeh, J. Bernussou, P. Bertrand, T. C. Bichel, M. Bielli, C. Burgat, M. Cini, E. J. Davison, A. J. Fossard, G. Galicchio, J. C. Geromel, Y. Y. Haimes, M, Hassan, A. Haurie, J. C. Hennet, D. M. Himmelblau, N. M. Hung, N. Imbert, M. R. Irving, M. S. Mahmoud, G. Michailesco, H. Nicholson, F. Nicolo, M. A. Pai, A. P. Sage, P. S. Satsangi, D. Siljak, M. G. Singh, J. M. Siret, M. J. H. Sterling, A. Straszak, H. Tamura, A. Titli, N. K. Tripathi, A. Turgeon, M. Vidyasagar, M. Wassel, D. Wend, and T. J. Williams.

Forster, W., Editor, Numerical Solution of Highly Nonlinear Problems: Fixed-Point Algorithms and Complementarity Problems, North-Holland Publishing Company, Amsterdam, Holland, 1980, 439 pages.

Contents. Preface. Convergence and properties of recent variable-dimen- sion algorithms. A note on a new algorithm for computing fixed points. Global and local convergence and monotonicity results for a recent variable- dimension simplicial algorithm. The flex-simplicial algorithm. An N- dimensional bisection method for solving systems of N equations in N unknowns. An efficient way of programming Eaves' fixed-point algorithm. Fixed-point algorithms and array processors. Fifty years of further development of a combinatorial lemma, Part A. Fifty years of further development of a combinatorial lemma, Part B. An application of the generalized Sperner lemma to the computation of fixed points in arbitrary

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complexes. On the Shapley-Sperner lemma. On the Kakutani fixed-point theorem. Fixed-point algorithms and some graph problems. Homotopy methods for approximating several solutions to nonlinear systems of equa- tions. Solving equations 0 ~ f(x) under general boundary conditions. On the number of solutions of piecewise linear equations. Theorems relating to the approximation of fixed points in function spaces. A theorem on the parti- tioning of simplotopes and its application to a property of O-matrices. An equilibrium model for an open economy with institutional constraints on factor prices. A simplicial deformation algorithm with applications to opti- mization, variational inequalities, and boundary-value problems. Some remarks on quasi-variational inequalities and fixed points. Brouwer degree: history and numerical computation. Julius Schauder, fragments of a portrait. My friend Julius Schauder.

Contributors. E. L. Allgower, I. Capuzzo Dolcetta, D. !. A. Cohen, R. W. Cottle, L. Filus, W. Forster, C. B. Garcia, K. Georg, T. Hansen, R. Jansen, M. Kojima, H. W. Kuhn, J. Leray, A. S. Louter, L. Mathiesen, M. Matzeu, R. Schramm, H. W. Siegberg, E. Sperner, M. Stynes, A. J. J. Talman, M. J. Todd, H. Tuy, G. Van der Laan, R. Von Randow, and W. I. Zangwill.