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Sparse matrices and substructures with a novel implementation of finite element algorithms
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ISBN: 9061961920 Year: 1980 Publisher: Amsterdam

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Theoretical foundations and numerical methods for sparse recovery
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ISBN: 9783110226140 Year: 2010 Publisher: Berlin : De Gruyter,

Matrix preconditioning techniques and applications
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ISBN: 0521838282 9780521838283 9780511543258 051111558X 9780511115585 0511115032 9780511115035 0511543255 1107150590 9781107150591 1280434805 9781280434808 9786610434800 6610434808 0511181930 9780511181931 051119904X 051129980X Year: 2005 Volume: 19 Publisher: Cambridge : Cambridge University Press,

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Preconditioning techniques have emerged as an essential part of successful and efficient iterative solutions of matrices. Ke Chen's book offers a comprehensive introduction to these methods. A vast range of explicit and implicit sparse preconditioners are covered, including the conjugate gradient, multi-level and fast multi-pole methods, matrix and operator splitting, fast Fourier and wavelet transforms, incomplete LU and domain decomposition, Schur complements and approximate inverses. In addition, aspects of parallel realization using the MPI are discussed. Very much a users-guide, the book provides insight to the use of these techniques in areas such as acoustic wave scattering, image restoration and bifurcation problems in electrical power stations. Supporting MATLAB files are available from the Web to support and develop readers' understanding, and provide stimulus for further study. Pitched at graduate level, the book is intended to serve as a useful guide and reference for students, computational practitioners, engineers and researchers alike.


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Harry Markowitz : selected works
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ISBN: 9789812833648 9789812833631 9812833641 9812833633 9786612441417 1282441418 981283365X 9789812833655 Year: 2008 Volume: 1 Publisher: Singapore ; Hackensack, NJ : World Scientific,

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Harry M Markowitz received the Nobel Prize in Economics in 1990 for his pioneering work in portfolio theory. He also received the von Neumann Prize from the Institute of Management Science and the Operations Research Institute of America in 1989 for his work in portfolio theory, sparse matrices and the SIMSCRIPT computer language. While Dr Markowitz is well-known for his work on portfolio theory, his work on sparse matrices remains an essential part of linear optimization calculations. In addition, he designed and developed SIMSCRIPT - a computer programming language. SIMSCRIPT has been widely

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