相关参考文献
注意：仅列出部分参考文献，下载原文获取全部文献信息。FAST APPROXIMATE COMPUTATIONS WITH CAUCHY MATRICES AND POLYNOMIALS
Victor Y. Pan
MATHEMATICS OF COMPUTATION (2017)
Hierarchical Interpolative Factorization for Elliptic Operators: Integral Equations
Kenneth L. Ho et al.
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS (2016)
Approximation of integral operators by Green quadrature and nested cross approximation
Steffen Boerm et al.
NUMERISCHE MATHEMATIK (2016)
A Distributed-Memory Package for Dense Hierarchically Semi-Separable Matrix Computations Using Randomization
Francois-Henry Rouet et al.
ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE (2016)
HOW BAD ARE VANDERMONDE MATRICES?
Victor Y. Pan
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS (2016)
ON THE STABILITY OF SOME HIERARCHICAL RANK STRUCTURED MATRIX ALGORITHMS
Yuanzhe Xi et al.
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS (2016)
PARALLEL RANDOMIZED AND MATRIX-FREE DIRECT SOLVERS FOR LARGE STRUCTURED DENSE LINEAR SYSTEMS
Xiao Liu et al.
SIAM JOURNAL ON SCIENTIFIC COMPUTING (2016)
Transformations of matrix structures work again
Victor Y. Pan
LINEAR ALGEBRA AND ITS APPLICATIONS (2015)
SUBSPACE ITERATION RANDOMIZATION AND SINGULAR VALUE PROBLEMS
M. Gu
SIAM JOURNAL ON SCIENTIFIC COMPUTING (2015)
SUPERFAST AND STABLE STRUCTURED SOLVERS FOR TOEPLITZ LEAST SQUARES VIA RANDOMIZED SAMPLING
Yuanzhe Xi et al.
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS (2014)
A FAST RANDOMIZED EIGENSOLVER WITH STRUCTURED LDL FACTORIZATION UPDATE
Yuanzhe Xi et al.
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS (2014)
EFFICIENT STRUCTURED MULTIFRONTAL FACTORIZATION FOR GENERAL LARGE SPARSE MATRICES
Jianlin Xia
SIAM JOURNAL ON SCIENTIFIC COMPUTING (2013)
A direct solver with O(N) complexity for integral equations on one-dimensional domains
Adrianna Gillman et al.
FRONTIERS OF MATHEMATICS IN CHINA (2012)
Constructing nested bases approximations from the entries of non-local operators
M. Bebendorf et al.
NUMERISCHE MATHEMATIK (2012)
A SUPERFAST STRUCTURED SOLVER FOR TOEPLITZ LINEAR SYSTEMS VIA RANDOMIZED SAMPLING
Jianlin Xia et al.
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS (2012)
ON THE COMPLEXITY OF SOME HIERARCHICAL STRUCTURED MATRIX ALGORITHMS
Jianlin Xia
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS (2012)
COMPUTING ALL OR SOME EIGENVALUES OF SYMMETRIC Hl-MATRICES
Peter Benner et al.
SIAM JOURNAL ON SCIENTIFIC COMPUTING (2012)
A FAST DIRECT SOLVER FOR STRUCTURED LINEAR SYSTEMS BY RECURSIVE SKELETONIZATION
Kenneth L. Ho et al.
SIAM JOURNAL ON SCIENTIFIC COMPUTING (2012)
Fast construction of hierarchical matrix representation from matrix-vector multiplication
Lin Lin et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2011)
A FAST RANDOMIZED ALGORITHM FOR COMPUTING A HIERARCHICALLY SEMISEPARABLE REPRESENTATION OF A MATRIX
P. G. Martinsson
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS (2011)
Finding Structure with Randomness: Probabilistic Algorithms for Constructing Approximate Matrix Decompositions
N. Halko et al.
SIAM REVIEW (2011)
Fast algorithms for hierarchically semiseparable matrices
Jianlin Xia et al.
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS (2010)
CONSTRUCTION OF DATA-SPARSE H2-MATRICES BY HIERARCHICAL COMPRESSION
Steffen Boerm
SIAM JOURNAL ON SCIENTIFIC COMPUTING (2009)
Data-sparse approximation of non-local operators by H2-matrices
Steffen Boerm
LINEAR ALGEBRA AND ITS APPLICATIONS (2007)
H-matrix preconditioners in convection-dominated problems
S Le Borne et al.
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS (2006)
A fast ULV decomposition solver for hierarchically semiseparable representations
S. Chandrasekaran et al.
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS (2006)
Hybrid cross approximation of integral operators
S Börm et al.
NUMERISCHE MATHEMATIK (2005)
Approximation of integral operators by H2-matrices with adaptive bases
S Börm
COMPUTING (2005)
A fast direct solver for boundary integral equations in two dimensions
PG Martinsson et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2005)
A fast adaptive solver for hierarchically semiseparable representations
S Chandrasekaran et al.
CALCOLO (2005)
Existence of a low rank or H-matrix approximant to the solution of a Sylvester equation
L Grasedyck
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS (2004)
Hierarchical matrices based on a weak admissibility criterion
W Hackbusch et al.
COMPUTING (2004)
A kernel-independent adaptive fast multipole algorithm in two and three dimensions
LX Ying et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2004)
Introduction to hierarchical matrices with applications
S Börm et al.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS (2003)
Solution of large scale algebraic matrix Riccati equations by use of hierarchical matrices
L Grasedyck et al.
COMPUTING (2003)
Adaptive low-rank approximation of collocation matrices
M Bebendorf et al.
COMPUTING (2003)
Inversion of displacement operators
VY Pan et al.
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS (2003)
H2-matrix approximation of integral operators by interpolation
W Hackbusch et al.
APPLIED NUMERICAL MATHEMATICS (2002)
Pivoting and backward stability of fast algorithms for solving Cauchy linear equations
T Boros et al.
LINEAR ALGEBRA AND ITS APPLICATIONS (2002)
A matrix version of the fast multipole method
XB Sun et al.
SIAM REVIEW (2001)
Approximation of boundary element matrices
M Bebendorf
NUMERISCHE MATHEMATIK (2000)
Superfast algorithms for Cauchy-like matrix computations and extensions
VY Pan et al.
LINEAR ALGEBRA AND ITS APPLICATIONS (2000)
Incomplete cross approximation in the mosaic-skeleton method
EE Tyrtyshnikov
COMPUTING (2000)
分享论文
