Optimization: Theory and Practice
Optimization: Theory and Practice is ideally suited for a first course on optimization. It gives a detailed mathematical exposition to various optimization techniques. The presentation style retains abstract flavor of the mathematical framework as well as applicability potential of techniques, thereby making the text useful to both scientists and engineers.
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Algorithm 2.3.1 on p. 77 has several bugs. I had to correct the decision block and the convergence test to get it to work correctly. If contacted, I can email the corrections to the authors.
Unconstrained Gradient Based Optimization Methods
Constrained Optimization Methods