On the existence and computation of rank-revealing LU factorizations

From MaRDI portal
Publication:1587285

DOI10.1016/S0024-3795(00)00120-8zbMath0962.65023WikidataQ114122594 ScholiaQ114122594MaRDI QIDQ1587285

R. Smith

Publication date: 31 May 2001

Published in: Linear Algebra and its Applications (Search for Journal in Brave)




Related Items (max. 100)

Strong rank revealing LU factorizationsNumerically safe Gaussian elimination with no pivotingA fast and stable algorithm for downdating the singular value decompositionCholesky decomposition with fixing nodes to stable computation of a generalized inverse of the stiffness matrix of a floating structureProperties of the CMP inverse and its computationNew studies of randomized augmentation and additive preprocessingAn Accelerated Divide-and-Conquer Algorithm for the Bidiagonal SVD ProblemTime and space efficient generators for quasiseparable matricesSimpler is better: a comparative study of randomized pivoting algorithms for CUR and interpolative decompositionsPass-efficient randomized LU algorithms for computing low-rank matrix approximationPolynomial time \(\rho\)-locally maximum volume searchRandomized LU decompositionNew fast divide-and-conquer algorithms for the symmetric tridiagonal eigenvalue problemMechanism free domain decompositionExponential inapproximability of selecting a maximum volume sub-matrixA Fast Algorithm for Computing Macaulay Null Spaces of Bivariate Polynomial SystemsThe Computation of Low Multilinear Rank Approximations of Tensors via Power Scheme and Random ProjectionExact expressions for the Drazin inverse of anti-triangular matricesUnnamed ItemCholesky decomposition of a positive semidefinite matrix with known kernelOptimal CUR Matrix DecompositionsParallel cross interpolation for high-precision calculation of high-dimensional integralsLow Rank Approximation of a Sparse Matrix Based on LU Factorization with Column and Row Tournament PivotingNumerical approximation of multiple isolated roots of analytical systemsAn \(\mathcal O(N\log N)\) fast direct solver for partial hierarchically semi-separable matrices. With application to radial basis function interpolationSolving linear systems of equations with randomization, augmentation and aggregationImplementation of an interior point method with basis preconditioningAbout noneigenvector source localization methodsComputing \(\{2,4\}\) and \(\{2,3\}\)-inverses by using the Sherman-Morrison formulaIntroduction to Communication Avoiding Algorithms for Direct Methods of Factorization in Linear AlgebraRank revealing Gaussian elimination by the maximum volume conceptRandomized LU decomposition using sparse projectionsOptimal sensors placement in dynamic damage detection of beams using a statistical approachFast multipole preconditioners for sparse matrices arising from elliptic equationsA Fast Memory Efficient Construction Algorithm for Hierarchically Semi-Separable RepresentationsOn the accuracy of cross and column low-rank maxvol approximations in averageSingle-pass randomized algorithms for LU decompositionOn maximum volume submatrices and cross approximation for symmetric semidefinite and diagonally dominant matricesOn selecting a maximum volume sub-matrix of a matrix and related problemsFast and Accurate Gaussian Kernel Ridge Regression Using Matrix Decompositions for PreconditioningSubspace Iteration Randomization and Singular Value ProblemsSublinear Cost Low Rank Approximation via Subspace SamplingRandom multipliers numerically stabilize Gaussian and block Gaussian elimination: proofs and an extension to low-rank approximation


Uses Software


Cites Work


This page was built for publication: On the existence and computation of rank-revealing LU factorizations