Exploiting Hidden Structure In Matrix Computations: Algorithms And Applications

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Exploiting Hidden Structure in Matrix Computations: Algorithms and Applications
Cetraro, Italy 2015
By: Michele Benzi; Dario Bini; Daniel Kressner; Hans Munthe-Kaas; Charles Van Loan
Publisher:
Springer
Print ISBN: 9783319498867, 331949886X
eText ISBN: 9783319498874, 3319498878
Copyright year: 2016
Format: PDF
Available from $ 89.99 USD
SKU 9783319498874
Focusing on special matrices and matrices which are in some sense `near’ to structured matrices, this volume covers a broad range of topics of current interest in numerical linear algebra. Exploitation of these less obvious structural properties can be of great importance in the design of efficient numerical methods, for example algorithms for matrices with low-rank block structure, matrices with decay, and structured tensor computations. Applications range from quantum chemistry to queuing theory. Structured matrices arise frequently in applications. Examples include banded and sparse matrices, Toeplitz-type matrices, and matrices with semi-separable or quasi-separable structure, as well as Hamiltonian and symplectic matrices. The associated literature is enormous, and many efficient algorithms have been developed for solving problems involving such matrices. The text arose from a C.I.M.E. course held in Cetraro (Italy) in June 2015 which aimed to present this fast growing field to young researchers, exploiting the expertise of five leading lecturers with different theoretical and application perspectives.