Introduction to Hierarchical Matrices with Applications

[1]  Wolfgang Hackbusch,et al.  Construction and Arithmetics of H-Matrices , 2003, Computing.

[2]  Mario Bebendorf,et al.  Mathematik in den Naturwissenschaften Leipzig Existence of H-Matrix Approximants to the Inverse FE-Matrix of Elliptic Operators with L ∞-Coefficients , 2003 .

[3]  Sergej Rjasanow,et al.  Adaptive Low-Rank Approximation of Collocation Matrices , 2003, Computing.

[4]  W. Hackbusch,et al.  H 2 -matrix approximation of integral operators by interpolation , 2002 .

[5]  Steffen Börm,et al.  Data-sparse Approximation by Adaptive ℋ2-Matrices , 2002, Computing.

[6]  Ivan P. Gavrilyuk,et al.  $\mathcal{H}$-Matrix approximation for the operator exponential with applications , 2002, Numerische Mathematik.

[7]  Boris N. Khoromskij,et al.  Blended kernel approximation in the ℋ︁‐matrix techniques , 2002, Numer. Linear Algebra Appl..

[8]  Wolfgang Hackbusch,et al.  Adaptive refinement and clustering of H-matrices , 2001 .

[9]  Klaus Gibermann,et al.  Multilevel approximation of boundary integral operators , 2001 .

[10]  Boris N. Khoromskij,et al.  Data-sparse approximate inverse in elliptic problems: Green's function approach , 2001 .

[11]  Ivan P. Gavrilyuk,et al.  ℋ-matrix approximation for elliptic solution operators in cylinder domains , 2001, J. Num. Math..

[12]  Mario Bebendorf,et al.  Approximation of boundary element matrices , 2000, Numerische Mathematik.

[13]  Thilo Penzl Eigenvalue decay bounds for solutions of Lyapunov equations: the symmetric case , 2000 .

[14]  Stefan A. Sauter,et al.  Variable Order Panel Clustering , 2000, Computing.

[15]  Boris N. Khoromskij,et al.  H-matrix approximation on graded meshes , 1999 .

[16]  W. Hackbusch A Sparse Matrix Arithmetic Based on $\Cal H$-Matrices. Part I: Introduction to ${\Cal H}$-Matrices , 1999, Computing.

[17]  E. Tyrtyshnikov Mosaic-Skeleton approximations , 1996 .

[18]  I. Rosen,et al.  A multilevel technique for the approximate solution of operator Lyapunov and algebraic Riccati equations , 1995 .

[19]  W. Hackbusch,et al.  On the fast matrix multiplication in the boundary element method by panel clustering , 1989 .

[20]  J. Whiteman The Mathematics of Finite Elements and Applications. , 1983 .

[21]  J. D. Roberts,et al.  Linear model reduction and solution of the algebraic Riccati equation by use of the sign function , 1980 .

[22]  Boris N. Khoromskij,et al.  Towards H-matrix approximation of linear complexity , 2001 .

[23]  Boris N. Khoromskij,et al.  A Sparse H-Matrix Arithmetic. Part II: Application to Multi-Dimensional Problems , 2000, Computing.

[24]  R. Hoppe,et al.  Lectures on Applied Mathematics , 2000 .

[25]  W. Hackbusch,et al.  On H2-Matrices , 2000 .

[26]  Paul Dienes,et al.  On H-matrices , 1952 .