Second-Order Methods
Newton, quasi-Newton, and trust-region methods.
Second-Order Methods. Newton, quasi-Newton, and trust-region methods.
Foundations and canonical references
The standard treatments of second-order methods approach the subject from complementary angles. Nocedal, Numerical Optimization (2006) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to.
Open methodological questions for second-order methods include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.
Prerequisites
Sources
- textbook · primary · 2006Numerical Optimizationnocedal-2006, wright-2006
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