Beresford N. Parlett

Beresford N. Parlett is a British mathematician and computer scientist known for his fundamental contributions to numerical linear algebra and matrix computations. His work has been particularly influential in the development of algorithms for eigenvalue problems and matrix factorizations. As Professor Emeritus at the University of California, Berkeley, Parlett made significant advances in understanding the properties of matrices and developing stable computational methods. His 1980 book "The Symmetric Eigenvalue Problem" became a definitive text in the field and remains widely referenced in numerical linear algebra research. Parlett developed several important algorithms, including the shifted QR algorithm and methods for solving large sparse eigenvalue problems. His mathematical insights led to improvements in both the theoretical understanding and practical implementation of matrix computation techniques. The concept of "Parlett recurrence" in numerical analysis bears his name, demonstrating his lasting impact on the field of computational mathematics. His research continues to influence modern numerical software libraries and computational methods used in scientific computing.

Limited reader reviews exist online for Beresford Parlett's technical mathematics books. The main reviews come from academic and professional mathematicians rather than general readers. Readers appreciated: - Clear explanations of complex numerical algorithms - Focus on practical implementation details - Code examples that help with understanding - Historical context and development of methods Common criticisms: - Dense mathematical notation that can be hard to follow - Assumes strong background knowledge - Limited introductory material for beginners - High price point for textbooks His book "The Symmetric Eigenvalue Problem" has: Goodreads: 4.0/5 (5 ratings) Amazon: 5.0/5 (2 reviews) Specific feedback: "Excellent reference for computational linear algebra" - Math professor on Amazon "Not for first-time learners but great for practitioners" - Graduate student reviewer Most reviews come from people using his books for advanced coursework or research rather than general interest readers.

The Symmetric Eigenvalue Problem (1980) A comprehensive text covering mathematical methods for computing eigenvalues and eigenvectors of symmetric matrices.

The Symmetric Eigenvalue Problem, Classics in Applied Mathematics (1998) An updated version of the 1980 text, incorporating new developments in algorithms and computational methods for eigenvalue problems.

Templates for the Solution of Algebraic Eigenvalue Problems: A Practical Guide (2000) A collaborative reference manual presenting algorithms and implementation advice for solving various types of eigenvalue problems.

Linear Algebra in Action (2015) A textbook connecting theoretical concepts in linear algebra with practical computational methods and real-world applications.

Numerical Methods for Linear Algebra and Optimization (2012) A guide covering numerical techniques for solving linear systems, eigenvalue problems, and optimization challenges in scientific computing.