Accelerating data uncertainty quantification by solving linear systems with multiple right-hand sides
type: Item
instance of: scholarly article
title: Accelerating data uncertainty quantification by solving linear systems with multiple right-hand sides
zbMATH Open document ID: 1263.65009
author: C. Bekas
author: Vassilis Kalantzis
author: Alessandro Curioni
author: E. Gallopoulos
published in: Numerical Algorithms
publication date: 2013-04-12T00:00:00Z
Mathematics Subject Classification ID: 65C60
Mathematics Subject Classification ID: 62J10
Mathematics Subject Classification ID: 65F08
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 62G07
zbMATH DE Number: 6153516
zbMATH Keywords: uncertainty quantification
zbMATH Keywords: matrix-free methods
zbMATH Keywords: iterative
zbMATH Keywords: preconditioning
zbMATH Keywords: multiple right-hand sides
zbMATH Keywords: conjugate gradient
zbMATH Keywords: block conjugate gradient
zbMATH Keywords: seed methods
zbMATH Keywords: stochastic diagonal of inverse estimator
zbMATH Keywords: Rademacher vectors
zbMATH Keywords: algorithm
zbMATH Keywords: stochastic estimation
zbMATH Keywords: inverse covariance matrix
zbMATH Keywords: numerical experiments
describes a project that uses: SelInv
MaRDI profile type: Publication
full work available at URL: s11075-012-9687-2
OpenAlex ID: W2078480837
cites work: Deflated and Restarted Symmetric Lanczos Methods for Eigenvalues and Linear Equations with Multiple Right-Hand Sides
cites work: Improved seed methods for symmetric positive definite linear equations with multiple right‐hand sides
cites work: A matrix-free approach for solving the parametric Gaussian process maximum likelihood problem
cites work: Randomized algorithms for estimating the trace of an implicit symmetric positive semi-definite matrix
cites work: Some large-scale matrix computation problems
cites work: Q4365418
cites work: Calculation of the inverse of the covariance
cites work: A Hybrid Approach Combining Chebyshev Filter and Conjugate Gradient for Solving Linear Systems with Multiple Right-Hand Sides
cites work: An estimator for the diagonal of a matrix
cites work: Computation of Large Invariant Subspaces Using Polynomial Filtered Lanczos Iterations with Applications in Density Functional Theory
cites work: Convergence properties of some block Krylov subspace methods for multiple linear systems
cites work: Moments of a linear operator, with applications to the trace of the inverse of matrices and the solution of equations.
cites work: The Sparse Matrix Transform for Covariance Estimation and Analysis of High Dimensional Signals
cites work: Analysis of Projection Methods for Solving Linear Systems with Multiple Right-Hand Sides
cites work: A block IDR\((s)\) method for nonsymmetric linear systems with multiple right-hand sides
cites work: A Comparative Study of Iterative Solvers Exploiting Spectral Information for SPD Systems
cites work: Q5851422
cites work: A Stochastic Estimator of the Trace of the Influence Matrix for Laplacian Smoothing Splines
cites work: QMR-based projection techniques for the solution of non-Hermitian systems with multiple right-hand sides
cites work: A well-conditioned estimator for large-dimensional covariance matrices
cites work: SelInv---An Algorithm for Selected Inversion of a Sparse Symmetric Matrix
cites work: Estimates of the trace of the inverse of a symmetric matrix using the modified Chebyshev algorithm
cites work: The block conjugate gradient algorithm and related methods
cites work: Recycling Krylov Subspaces for Sequences of Linear Systems
cites work: A new look at the Lanczos algorithm for solving symmetric systems of linear equations
cites work: On the Lanczos Method for Solving Symmetric Linear Systems with Several Right-Hand Sides
cites work: An Iterative Method for Nonsymmetric Systems with Multiple Right-Hand Sides
cites work: Computing and Deflating Eigenvalues While Solving Multiple Right-Hand Side Linear Systems with an Application to Quantum Chromodynamics
cites work: A probing method for computing the diagonal of a matrix inverse
DOI: 10.1007/S11075-012-9687-2
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description: scientific article; zbMATH DE number 6153516