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Hierarchical Matrices: Algorithms and Analysis

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Cover of 'Hierarchical Matrices: Algorithms and Analysis'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Rank- r Matrices
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    Chapter 3 Introductory Example
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    Chapter 4 Separable Expansions and Low-Rank Matrices
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    Chapter 5 Matrix Partition
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    Chapter 6 Definition and Properties of Hierarchical Matrices
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    Chapter 7 Formatted Matrix Operations for Hierarchical Matrices
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    Chapter 8 $$\mathcal{H}^{2}$$ -Matrices
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    Chapter 9 Miscellaneous Supplements
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    Chapter 10 Applications to Discretised Integral Operators
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    Chapter 11 Applications to Finite Element Matrices
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    Chapter 12 Inversion with Partial Evaluation
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    Chapter 13 Eigenvalue Problems
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    Chapter 14 Matrix Functions
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    Chapter 15 Matrix Equations
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    Chapter 16 Tensor Spaces
Attention for Chapter 2: Rank- r Matrices
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