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Exploiting hidden structure in Matrix computations : algorithms and applications / [edited by] Michele Benzi and Valeria Simoncini.

By: Contributor(s): Material type: TextTextSeries: Lecture notes in mathematics ; 2173. | CIME Foundation subseriesPublication details: Cham : Springer, 2016.Description: ix, 406 pages : illustrations (some color) ; 24 cmISBN:
  • 9783319498867 (alk. paper)
Subject(s): DDC classification:
  • 512.9434 23 C397
Contents:
Structured Matrix Problems from Tensors / Loan, Charles F. -- Matrix Structures in Queuing Models / Bini, Dario A. -- Matrices with Hierarchical Low-Rank Structures / Ballani, Jonas & Kressner, Daniel -- Localization in Matrix Computations: Theory and Applications / Benzi, Michele -- Groups and Symmetries in Numerical Linear Algebra / Munthe-Kaas, Hans Z.
Summary: 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.
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Includes bibliographical references.

Structured Matrix Problems from Tensors / Loan, Charles F. --
Matrix Structures in Queuing Models / Bini, Dario A. --
Matrices with Hierarchical Low-Rank Structures / Ballani, Jonas & Kressner, Daniel --
Localization in Matrix Computations: Theory and Applications / Benzi, Michele --
Groups and Symmetries in Numerical Linear Algebra / Munthe-Kaas, Hans Z.

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.

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