**Optimization Algorithms on Matrix Manifolds**

by P.-A. Absil, R. Mahony, R. Sepulchre

**Publisher**: Princeton University Press 2007**ISBN/ASIN**: 0691132984**ISBN-13**: 9780691132983**Number of pages**: 240

**Description**:

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.

Download or read it online for free here:

**Download link**

(multiple PDF files)

## Similar books

**Noncommutative Localization in Algebra and Topology**

by

**Andrew Ranicki**-

**Cambridge University Press**

Noncommutative localization is a technique for constructing new rings by inverting elements, matrices and more generally morphisms of modules. The applications to topology are via the noncommutative localizations of the fundamental group rings.

(

**4426**views)

**Lecture Notes on Seiberg-Witten Invariants**

by

**John Douglas Moore**-

**Springer**

A streamlined introduction to the theory of Seiberg-Witten invariants suitable for second-year graduate students. These invariants can be used to prove that there are many compact topological four-manifolds which have more than one smooth structure.

(

**5165**views)

**Lectures on Sheaf Theory**

by

**C.H. Dowker**-

**Tata Institute of Fundamental Research**

A sheaf is a tool for systematically tracking locally defined data attached to the open sets of a topological space. Contents: Sheaves; Sections; Cohomology groups of a space with coefficients in a presheaf; Introduction of the family Phi; etc.

(

**5088**views)

**Topology**

by

**Curtis T. McMullen**-

**Harvard University**

Contents: Introduction; Background in set theory; Topology; Connected spaces; Compact spaces; Metric spaces; Normal spaces; Algebraic topology and homotopy theory; Categories and paths; Path lifting and covering spaces; Global topology; etc.

(

**2435**views)