出版纪念他的70岁生日，这本书探索和庆祝G.W.（皮特）斯图尔特的工作，他是世界著名的计算线性代数专家。人们普遍认为，斯图尔特是该领域第一位巨人詹姆斯·威尔金森的继任者，他从事了威尔金森非常出色地开始的微扰理论研究，并将其作为算法洞察的基础。
Stewart关于数值计算中舍入误差的结果提供了对浮点计算的基本理解。他关于本征系统摄动、伪逆、最小二乘问题和矩阵分解的结果对当今的数值实践具有基础性。他的奇异值分解、更新和降阶矩阵分解算法以及特征值问题的算法开创了新的领域，目前仍在越来越多的应用中得到广泛应用。斯图尔特的论文被广泛引用，其特点是定理和算法优雅，阐述清晰、简洁、优美。他的六本受欢迎的教科书是知识和历史的极好来源。斯图尔特是美国国家工程院的成员，并获得了许多额外的荣誉，包括鲍尔奖。
本书的主要特点包括
*Stewart在两个主题领域的44篇最有影响力的研究论文：矩阵算法和舍入与微扰理论
*斯图尔特传记
*斯图尔特的出版物、学生和荣誉的完整列表
*精选照片
*斯图尔特与该领域顶尖专家合作的作品评论
G.W.Stewart：有评论的精选作品将吸引计算线性代数和数学史的研究生、实践者和研究人员。
G.W. Stewart: Selected Works with Commentaries by Misha E. Kilmer
Published in honor of his 70th birthday, this volume explores and celebrates the work of G.W. (Pete) Stewart, a world-renowned expert in computational linear algebra. It is widely accepted that Stewart is the successor to James Wilkinson, the first giant in the field, taking up the perturbation theory research that Wilkinson so ably began and using it as a foundation for algorithmic insights.
Stewart’s results on rounding error in numerical computations provided basic understanding of floating-point computation. His results on perturbation of eigensystems, pseudo-inverses, least-squares problems, and matrix factorizations are fundamental to numerical practice today. His algorithms for the singular value decomposition, updating and downdating matrix factorizations, and the eigenproblem broke new ground and are still widely used in an increasing number of applications. Stewart’s papers, widely cited, are characterized by elegance in theorems and algorithms and clear, concise, and beautiful exposition. His six popular textbooks are excellent sources of knowledge and history. Stewart is a member of the National Academy of Engineering and has received numerous additional honors, including the Bauer Prize.
Key features of this volume include
* Forty-four of Stewart’s most influential research papers in two subject areas: matrix algorithms and rounding and perturbation theory
* A biography of Stewart
* A complete list of Stewart’s publications, students, and honors
* Selected photographs
* Commentaries on Stewart’s works in collaboration with leading experts in the field
G.W. Stewart: Selected Works with Commentaries will appeal to graduate students, practitioners, and researchers in computational linear algebra and the history of mathematics.
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