Author | Hackbusch, Wolfgang. author |
---|---|
Title | Hierarchical Matrices: Algorithms and Analysis [electronic resource] / by Wolfgang Hackbusch |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2015 |
Connect to | http://dx.doi.org/10.1007/978-3-662-47324-5 |
Descript | XXV, 511 p. 87 illus., 27 illus. in color. online resource |
Preface -- Part I: Introductory and Preparatory Topics -- 1. Introduction -- 2. Rank-r Matrices -- 3. Introductory Example -- 4. Separable Expansions and Low-Rank Matrices -- 5. Matrix Partition -- Part II: H-Matrices and Their Arithmetic -- 6. Definition and Properties of Hierarchical Matrices -- 7. Formatted Matrix Operations for Hierarchical Matrices -- 8. H2-Matrices -- 9. Miscellaneous Supplements -- Part III: Applications -- 10. Applications to Discretised Integral Operators -- 11. Applications to Finite Element Matrices -- 12. Inversion with Partial Evaluation -- 13. Eigenvalue Problems -- 14. Matrix Functions -- 15. Matrix Equations -- 16. Tensor Spaces -- Part IV: Appendices -- A. Graphs and Trees -- B. Polynomials -- C. Linear Algebra and Functional Analysis -- D. Sinc Functions and Exponential Sums -- E. Asymptotically Smooth Functions -- References -- Index