Optimization Algorithms on Matrix Manifolds (Absil P. -A)(Pevná vazba)

Optimization Algorithms on Matrix Manifolds (Absil P. -A)(Pevná vazba)

Optimization Algorithms on Matrix Manifolds (Absil P. -A)(Pevná vazba)

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Optimization Algorithms on Matrix Manifolds (Absil P. -A)(Pevná vazba) - popis produktu

Many problems in the sciences and engineering can be rephrased as optimization problems on matrix search spaces endowed with a so-called manifold structure. This book shows how to exploit the special structure of such problems to develop efficient numerical algorithms. It places careful emphasis on both the numerical formulation of the algorithm and its differential geometric abstraction--illustrating how good algorithms draw equally from the insights of differential geometry, optimization, and numerical analysis. Two more theoretical chapters provide readers with the background in differential geometry necessary to algorithmic development. In the other chapters, several well-known optimization methods such as steepest descent and conjugate gradients are generalized to abstract manifolds. The book provides a generic development of each of these methods, building upon the material of

Optimization Algorithms on Matrix Manifolds (Absil P. -A)(Pevná vazba) - historie ceny a dostupnosti

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