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

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Optimization Algorithms on Matrix Manifolds

This chapter is in the book Optimization Algorithms on Matrix Manifolds

Chapters in this book

Frontmatter i
Contents vii
List of Algorithms xi
Foreword xiii
Notation Conventions xv
Chapter One. Introduction 1
Chapter Two. Motivation and Applications 5
Chapter Three. Matrix Manifolds: First-Order Geometry 17
Chapter Four. Line-Search Algorithms On Manifolds 54
Chapter Five. Matrix Manifolds: Second-Order Geometry 91
Chapter Six. Newton’s Method 111
Chapter Seven. Trust-Region Methods 136
Chapter Eight. A Constellation Of Superlinear Algorithms 168
A. Elements Of Linear Algebra, Topology, And Calculus 189
Bibliography 201
Index 221

https://doi.org/10.1515/9781400830244.fm

Chapters in this book

Frontmatter i
Contents vii
List of Algorithms xi
Foreword xiii
Notation Conventions xv
Chapter One. Introduction 1
Chapter Two. Motivation and Applications 5
Chapter Three. Matrix Manifolds: First-Order Geometry 17
Chapter Four. Line-Search Algorithms On Manifolds 54
Chapter Five. Matrix Manifolds: Second-Order Geometry 91
Chapter Six. Newton’s Method 111
Chapter Seven. Trust-Region Methods 136
Chapter Eight. A Constellation Of Superlinear Algorithms 168
A. Elements Of Linear Algebra, Topology, And Calculus 189
Bibliography 201
Index 221

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