Matrix Information Geometry

  • Frank Nielsen
  • Rajendra Bhatia

Table of contents

  1. Front Matter
    Pages i-xii
  2. State-of-the-Art Surveys and Original Matrix Theory Work

    1. Front Matter
      Pages 1-1
    2. Rajendra Bhatia
      Pages 35-51
    3. Silvère Bonnabel, Rodolphe Sepulchre
      Pages 53-68
    4. Michel Nguiffo Boyom, Paul Mirabeau Byande
      Pages 69-92
    5. Frank Nielsen, Meizhu Liu, Baba C. Vemuri
      Pages 111-122
  3. Advanced Matrix Theory for Radar Processing

    1. Front Matter
      Pages 167-167
    2. Marc Arnaudon, Frédéric Barbaresco, Le Yang
      Pages 169-197
    3. Pierre Formont, Jean-Philippe Ovarlez, Frédéric Pascal
      Pages 257-276
    4. Zhongxun Liu, Frédéric Barbaresco
      Pages 277-290
  4. Matrix-Based Signal Processing Applications

    1. Front Matter
      Pages 291-291
    2. Tapan Pradhan, Aurobinda Routray, Bibek Kabi
      Pages 323-340
    3. Arnaud Dessein, Arshia Cont, Guillaume Lemaitre
      Pages 341-371
    4. Richard Nock, Brice Magdalou, Eric Briys, Frank Nielsen
      Pages 373-402
    5. Olivier Schwander, Frank Nielsen
      Pages 403-426

About this book

Introduction

This book is an outcome of the Indo-French Workshop on Matrix Information Geometries (MIG): Applications in Sensor and Cognitive Systems Engineering, which was held in Ecole Polytechnique and Thales Research and Technology Center, Palaiseau, France, in February 23-25, 2011. The workshop was generously funded by the Indo-French Centre for the Promotion of Advanced Research (IFCPAR).  During the event, 22 renowned invited french or indian speakers gave lectures on their areas of expertise within the field of matrix analysis or processing. From these talks, a total of 17 original contribution or state-of-the-art chapters have been assembled in this volume. All articles were thoroughly peer-reviewed and improved, according to the suggestions of the international referees. The 17 contributions presented  are organized in three parts: (1) State-of-the-art surveys & original matrix theory work, (2) Advanced matrix theory for radar processing, and (3) Matrix-based signal processing applications.


 

Keywords

Audio Signal Processing Covariance matrix Differential geometry of structured matrix Fixed-Point SVD Algorithm Information geometry Koszul-Vinberg cohomology Matrix Data Mining Positive definite matrix Radar Image Processing

Editors and affiliations

  • Frank Nielsen
    • 1
  • Rajendra Bhatia
    • 2
  1. 1.Shinagawa-KuJapan
  2. 2.DelhiIndia

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-30232-9
  • Copyright Information Springer-Verlag Berlin Heidelberg 2013
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering
  • Print ISBN 978-3-642-30231-2
  • Online ISBN 978-3-642-30232-9
  • About this book