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134 BIBLIOGRAPHY [GMSW79] P. E. Gill, W. Murray, M. A. Saunders and M. H. Wright (1979). Two step-length algorithms for numerical optimization, Report SOL 79-25, Department of Operations Research, Stanford University, California. [GMSW87] P. E. Gill, W. Murray, M. A. Saunders and M. H. Wright (1987). Maintaining LU factors of a general sparse matrix, Linear Algebra and its Applications 88/89, 239–270. [GMSW89] P. E. Gill, W. Murray, M. A. Saunders and M. H. Wright (1989). A practical anticycling procedure for linearly constrained optimization, Mathematical Programming 45, 437–474. [Him72] D. M. Himmelblau (1972). Applied Nonlinear Programming, McGraw-Hill. [LHKK79] C. L. Lawson, R. J. Hanson, D. R. Kincaid and F. T. Krogh (1979). Basic Linear Algebra Subprograms for Fortran usage, ACM Transactions on Mathematical Software 5, 308–323 and (Algorithm) 324–325. [Man77] A. S. Manne (1977). ETA-MACRO: A Model of Energy-Economy Interactions, in C. J. Hitch (ed.), Modeling Energy-Economy Interactions, Resources for the Future, Washington, DC. Also in R. Pindyck (ed.), Advances in the Economics of Energy and Resources, Vol. 2: The Production and Pricing of Energy Resources, JAI Press, Inc., Greenwich, Connecticut, 1979, 205–233. [Man79] A. S. Manne (1979). Private communication. [MS78] B. A. Murtagh and M. A. Saunders (1978). Large-scale linearly constrained optimization, Mathematical Programming 14, 41–72. [MS82] B. A. Murtagh and M. A. Saunders (1982). A projected Lagrangian algorithm and its implementation for sparse nonlinear constraints, Mathematical Programming Study 16, Algorithms for Constrained Minimization of Smooth Nonlinear Functions, 84–117. [Pre80] P. V. Preckel (1980). Modules for use with MINOS/AUGMENTED in solving sequences of mathematical programs, Report SOL 80-15, Department of Operations Research, Stanford University, California. [Reid76] J. K. Reid (1976). Fortran subroutines for handling sparse linear programming bases, Report R8269, Atomic Energy Research Establishment, Harwell, England. [Reid82] J. K. Reid (1982). A sparsity-exploiting variant of the Bartels-Golub decomposition for linear programming bases, Mathematical Programming 24, 55–69. [Rob72] S. M. Robinson (1972). A quadratically convergent algorithm for general nonlinear programming problems, Mathematical Programming 3, 145–156. [RK72] J. B. Rosen and J. Kreuser (1972). A gradient projection algorithm for nonlinear constraints, in F. A. Lootsma (ed.), Numerical Methods for Nonlinear Optimization, Academic Press, London and New York, 297–300. [Ros60] H. H. Rosenbrock (1960). An automatic method for finding the greatest or least value of a function, Computer Journal 3, 175–184. [Sau76] M. A. Saunders (1976). A fast, stable implementation of the simplex method using Bartels-Golub updating, in J. R. Bunch and D. J. Rose (eds.), Sparse Matrix Computations, Academic Press, New York, 213–226.