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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.

Mathematics. --- Computer mathematics. --- Numerical analysis. --- Numerical Analysis. --- Computational Science and Engineering. --- Mathematical analysis --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Math --- Science --- Mathematics --- Computer science. --- Informatics --- Matrices --- Algebra, Matrix --- Cracovians (Mathematics) --- Matrix algebra --- Matrixes (Algebra) --- Algebra, Abstract --- Algebra, Universal

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Georg Heing, a charming, erudite man, and a ?rst rate mathematician died un- pectedly of a heart attack on May 10, 2005. Georg is survived by his wife Gerti, his daughter Susanne, and his son Peter. We have lost one the leading experts in the ?eld of structured matrices, a wonderful colleague, and a terri?c friend. GeorgHeinig'sresults,approaches,andhisscienti?ctastein?uencedourc- munity of researchers working on structured matrices. In fact, the community's focus grew to re?ect his interdisciplinary vision ranging from applications (e.g., in systems and control theory and signal processing) through fundamental mat- matics(structuredmatrices,periodicJacobi,Toeplitz,andWiener-Hopfoperators, classesofsingularintegraloperators,resultantsandBezoutiansforoperator-valued polynomials and continual analogs thereof) to numerical analysis and fast al- rithms. The broad spectrum of Georg Heinig's interests are represented in this collection. Georg served as an Associate Editor of two top journals: Integral Equations andOperatorTheoryand LinearAlgebraand Its Applications. This volumestarts with two eulogies published earlier by IEOT and LAA. The ?rst one, published in IEOT is by Albrecht Bot ¨ tcher, Israel Gohberg (who was Georg's advisor during his Ph.D. studies), and Bernd Silbermann. The second one, published in LAA is by Karla Rost who collaborated with Georg during last three decades until day of his death. They have produced together more than 30 papers and a monograph.

Operator theory --- Functional analysis --- Numerical analysis --- analyse (wiskunde) --- functies (wiskunde) --- numerieke analyse

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This book gathers selected contributions presented at the INdAM Meeting Structured Matrices in Numerical Linear Algebra: Analysis, Algorithms and Applications, held in Cortona, Italy on September 4-8, 2017. Highlights cutting-edge research on Structured Matrix Analysis, it covers theoretical issues, computational aspects, and applications alike. The contributions, written by authors from the foremost international groups in the community, trace the main research lines and treat the main problems of current interest in this field. The book offers a valuable resource for all scholars who are interested in this topic, including researchers, PhD students and post-docs.

Algebra --- Numerical analysis --- algebra --- lineaire algebra --- matrices --- numerieke analyse