%A Philip E. Gill
%A Walter Murray
%A Michael A. Saunders
%A Margaret H. Wright
%T Software and its relationship to methods
%R Technical Report SOL 84-10
%I Systems Optimization Laboratory, Department of Operations Research,
Stanford University
%D 1984
%P 15
%K Numerical analysis
%K Numerical software
%K Optimization

%A R. N. Kaul
%A S. Kaur
%T Generalized convex functions -- properties, optimality and
duality
%R Technical Report SOL 84-4
%I Systems Optimization Laboratory, Department of Operations Research,
Stanford University
%D 1984
%P 24
%K Locally star-shaped set
%K Semilocally convex function

%A Floyd F. Chadee
%T Direct secant updates of sparse matrix factors
%R Technical Report SOL 84-5
%I Systems Optimization Laboratory, Department of Operations Research,
Stanford University
%D 1984
%P 56
%K Newton's method
%K Quasi-Newton methods
%K Sparsity

%A Philip E. Gill
%A Walter Murray
%A Michael A. Saunders
%A G. W. Stewart
%A Margaret H. Wright
%T Properties of a representation of a basis for the null space
%R Technical Report SOL 85-1
%I Systems Optimization Laboratory, Department of Operations Research,
Stanford University
%D 1985
%P 14
%K Constrained optimization
%K QR factorization
%K Regularized Householder transformations

%A Philip E. Gill
%A Walter Murray
%A Michael A. Saunders
%A Margaret H. Wright
%T Model building and practical aspects of nonlinear programming
%R Technical Report SOL 85-2
%I Systems Optimization Laboratory, Department of Operations Research,
Stanford University
%D 1985
%P 39
%K Numerical methods
%K Optimization
%K Quasi-Newton methods
%K Sequential quadratic programming

%A Dan A. Scott
%T A dynamic programming approach to time-staged convex programs
%R Technical Report SOL 85-3
%I Systems Optimization Laboratory, Department of Operations Research,
Stanford University
%D 1985
%P 75
%K Approximation in function space
%K Nested decomposition
%K Staircase linear programs

%A Irvin J. Lustig
%T A practical approach to Karmarkar's algorithm
%R Technical Report SOL 85-5
%I Systems Optimization Laboratory, Department of Operations Research,
Stanford University
%D 1985
%P 20
%K Least squares problems
%K Linear programming
%K Projective method
%K Simplex method

%A George B. Dantzig
%T Impact of linear programming on computer development
%R Technical Report SOL 85-7
%I Systems Optimization Laboratory, Department of Operations Research,
Stanford University
%D 1985
%P 20
%K Duality theorem
%K Electronic computers
%K History of computing
%K Simplex method
%K Triangular models
%K USAF Project SCOOP

%A Floyd F. Chadee
%T Sparse quasi-Newton methods and the continuation problem
%R Technical Report SOL 85-8
%I Systems Optimization Laboratory, Department of Operations Research,
Stanford University
%D 1985
%P 127
%K Homotopy
%K Predictor-corrector
%O Ph.D. Thesis