Free Download Optimization Algorithms on Matrix Manifolds PDF - Writers Club

Free Download Optimization Algorithms on Matrix Manifolds PDF

Princeton University Press

English - book pages - ISBN-10: 9781400830244 - ISBN-13: 1400830249

4/5 by 35 votes


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 the geometric chapters. It then guides readers through the calculations that turn these geometrically formulated methods into concrete numerical algorithms. The state-of-the-art algorithms given as examples are competitive with the best existing algorithms for a selection of eigenspace problems in numerical linear algebra. Optimization Algorithms on Matrix Manifolds offers techniques with broad applications in linear algebra, signal processing, data mining, computer vision, and statistical analysis. It can serve as a graduate-level textbook and will be of interest to applied mathematicians, engineers, and computer scientists.

Reviews

64x64

Ivan Tremblay

This is one of the best books that I have read so far in my life. You won't be disappointed.

Zoey Mercado

Nice It has a nice story about how to always let go the past and fall in love.

Ben Demotte

Enjoyed the whole book can't wait to read the whole series.

Recent Books

Conversations with Yogananda
Conversations with Yogananda
J. Donald Walters
Lost Freedom addresses the widespread feeling that there has been a fundamental change in the social life of children in recent decades: the loss of...
Der Mensch
Der Mensch
Johannes Ranke
Nachdruck des Originals von 1923.
They All Love Jack: Busting the Ripper
They All Love Jack: Busting the Ripper
Bruce Robinson
LONGLISTED FOR THE SAMUEL JOHNSON PRIZE FOR NON-FICTION A book like no other – the tale of a gripping quest to discover the identity of history’s...
Cane Toad Wars
Cane Toad Wars
Rick Shine
In 1935, an Australian government agency imported 101 specimens of the Central and South American Cane Toad in an attempt to manage insects that were...
Multicriteria Scheduling
Multicriteria Scheduling
Vincent T'Kindt
Scheduling and multicriteria optimisation theory have been subject, separately, to numerous studies. Since the last twenty years, multicriteria...
Future Practice
Future Practice
Rory Hyde
Designers around the world are carving out opportunities for new kinds of engagement, new kinds of collaboration, new kinds of design outcomes, and...
Figures of Speech
Figures of Speech
Gloria Ferrari
Over the past two hundred years, thousands of ancient Greek vases have been unearthed. Yet these artifacts remain a challenge: what did the images...
Princes, Pastors, and People
Princes, Pastors, and People
Susan Doran
Princes, Pastors and People traces the many changes in religious life that took place in the turbulent years of the Sixteenth and Seventeenth...
Counting
Counting
Khee Meng Koh
This book is a useful, attractive introduction to basic counting techniques for upper secondary and junior college students, as well as teachers....