By Iain S. Duff (auth.), Misha E. Kilmer, Dianne P. O'Leary (eds.)

Published in honor of his seventieth birthday, this quantity explores and celebrates the paintings of G.W. (Pete) Stewart, a world-renowned professional in computational linear algebra. it truly is extensively accredited that Stewart is the successor to James Wilkinson, the 1st titanic within the box, taking on the perturbation idea learn that Wilkinson so ably all started and utilizing it as a starting place for algorithmic insights.

Stewart’s effects on rounding blunders in numerical computations supplied easy realizing of floating-point computation. His effects on perturbation of eigensystems, pseudo-inverses, least-squares difficulties, and matrix factorizations are basic to numerical perform this present day. His algorithms for the singular worth decomposition, updating and downdating matrix factorizations, and the eigenproblem broke new flooring and are nonetheless common in increasingly more functions. Stewart’s papers, largely pointed out, are characterised via beauty in theorems and algorithms and transparent, concise, and lovely exposition. His six renowned textbooks are first-class resources of information and historical past. Stewart is a member of the nationwide Academy of Engineering and has acquired a variety of extra honors, together with the Bauer Prize.

Key beneficial properties of this quantity include:

* Forty-four of Stewart’s such a lot influential study papers in topic parts: matrix algorithms and rounding and perturbation theory

* A biography of Stewart

* an entire checklist of Stewart’s courses, scholars, and honors

* chosen photographs

* Commentaries on Stewart’s works in collaboration with top specialists within the field

*G.W. Stewart: chosen Works with Commentaries* will attract graduate scholars, practitioners, and researchers in computational linear algebra and the background of mathematics.