I prefer dennis and schnabels numerical methods for unconstrained optimization and nonlinear equations for newton derived methods in unconstrained optimization but fletchers book has the added material on constrained optimization part 2 that makes it more complete if one wants a single reference that covers the gamut of optimization. Practical methods of optimization second edition r fletcher part 2 covers constrained optimization which overall has a greater degree of complexity on account of the presence of the constraints i have covered the theory of constrained this volume i have included a straightforward description of the technique . Practical optimization algorithms and engineering applications provides a hands on treatment of the subject of optimization a comprehensive set of problems and exercises makes the book suitable for use in one or two semesters of a first year graduate course or an advanced undergraduate course. Thus state of the art techniques such as the bfgs method trust region methods and the sqp method are described and analysed other features are an extensive treatment of nonsmooth optimization and the l 1 penalty function contents part 1 unconstrained optimization part 2 constrained optimization introduction structure of methods
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