The History of Numerical Linear Algebra

The development of Applied and Numerical Linear Algebra has been one of the mathematical success stories of the 20th century, and this success is likely to continue. However, once in a while, we need to look back at the history of the subject, to remember the founders of our field, to honor their legacy, and to review their accomplishments to ensure a vital future for our field. In this minisymposium the speakers will remind us of those who were responsible for establishing the field of Numerical Linear Algebra, and also describe the challenges that drive the mathematical developments and current technologies.

Organizers: Ilse Ipsen
North Carolina State University
Sven J. Hammarling
Numerical Algorithms Group Ltd, United Kingdom

Below are links to PDF files of the slides for all the talks. There are also MP3 audio files of three of the talks given in Part II.

Part I

Monday, October 26, 2009

8:00 PM - 10:00 PM
Room: Laguna Grande C

8:00-8:25 Kron(A,B): A Product of the Times [PDF, 233KB]
             Charles Van Loan, Cornell University
8:30-8:55 On the Early History of Matrix Iterations: The Italian Contribution [PDF, 260KB]
             Michele Benzi, Emory University
9:00-9:25 Hermann Grassmann and the Foundations of Linear Algebra [PDF, 1.3MB]
             Jörg Liesen, Technical University of Berlin, Germany
9:30-9:55 Cayley, Sylvester, and Early Matrix Theory [PDF, 346KB]
             Nicholas J. Higham, University of Manchester, United Kingdom

Part II

Wednesday, October 28, 2009

8:00 PM - 10:00 PM
Room: Laguna Grande C

8:00-8:25 Antecedents of the LR and QR Algorithms [PDF, 294KB] [MP3, 24MB]
             Beresford N. Parlett, University of California
8:30-8:55 Development and History of Sparse Direct Methods [PDF, 1.3MB] [MP3, 31MB]
             Iain Duff, Rutherford-Appleton Laboratory, UK and CERFACS, France
9:00-9:25 Some History of Conjugate Gradients and Other Krylov Subspace Methods [PDF, 495KB]
             Dianne P. O'Leary, University of Maryland, College Park
9:30-9:55 The Dual Flow Between Linear Algebra and Optimization [PDF, 97KB] [MP3, 33MB]
             Margaret H. Wright, Courant Institute of Mathematical Sciences, New York University

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