Titlebook: Hierarchical Matrices; A Means to Efficient Mario Bebendorf Book 2008 Springer-Verlag Berlin Heidelberg 2008 Approximation.Boundary value p

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1439-7358 rom the finite element discretization of solution operators of elliptic boundary value problems. In addition to storing such matrices, approximations of the usual matrix operations can be computed with logarithmic-linear complexity, which can be exploited to setup approximate preconditioners in an e

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Book 2008lution operators of elliptic boundary value problems. In addition to storing such matrices, approximations of the usual matrix operations can be computed with logarithmic-linear complexity, which can be exploited to setup approximate preconditioners in an efficient and convenient way. Besides the al

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Introduction,nough. The typical size of . in today’s computations can reach several millions. This size will further increase in the future since many interesting and important problems still cannot be treated by existing methods.

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Hierarchical Matrices,ate algebra can be defined which is based on divide-and-conquer versions of the usual block operations. The efficient replacements for matrix addition and matrix multiplication can be used to define substitutes for higher level matrix operations such as inversion, . factorization, and . factorization.

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