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.
This book is about computing eigenvalues, eigenvectors, and invariant subspaces of matrices. Treatment includes generalized and structured eigenvalue problems and all vital aspects of eigenvalue computations. A unique feature is the detailed treatment of structured eigenvalue problems, providing insight on accuracy and efficiency gains to be expected from algorithms that take the structure of a matrix into account.
Modernism in the Green traces a trans-Atlantic modernist fascination with the creation, use, and representation of the modern green. From the verdant public commons in the heart of cities to the lookout points on mountains in national parks, planned green spaces serve as felicitous stages for the performance of modernism. In its focus on designed and public green zones,Modernism in the Green offers a new perspective on modernism’s overlapping investments in the arts, politics, urbanism, race, class, gender, and the nature-culture divide. This collection of essays is the first to explore the prominent and diverse ways greens materialize in modern literature and culture, along with the manner in which modernists represented them. This volume presents the idea of "the green" as a point of exploration, as our contributors analyze social-organic spaces ranging from public parks to roadways and refuse piles. Like the term "green," one that evokes both more-than-human natural zones and crafted public meeting places, these chapters uncover the social and spatial intersection of nature and culture in the very architecture of parks, gardens, buildings, highways, and dumps. This book argues that such greens facilitate modernists’ exploration of how nature can manifest in an era of increasing urbanization and mechanization and what identities and communities the green now enables or prevents.
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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