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Localization in Matrix Computations: Theory and Applications (Q2971627)

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English	Localization in Matrix Computations: Theory and Applications	scientific article

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scholarly article

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Localization in Matrix Computations: Theory and Applications (English)

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Lecture Notes in Mathematics

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publication date

7 April 2017

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zbMATH Keywords

matrix exponential

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matrix factorization

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fast approximation algorithms

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complexity

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matrix function

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/978-3-319-49887-4_4

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Sparse approximate inverse preconditioning for dense linear systems arising in computational electromagnetics

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A finite element method for quantum graphs

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Parameter estimation in high dimensional Gaussian distributions

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On approximate factorization methods for block matrices suitable for vector and parallel processors

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A convergence analysis for a sweeping preconditioner for block tridiagonal systems of linear equations

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Wiener's theorem and the asymptotic estimates of the elements of inverse matrices

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Estimates for the entries of inverse matrices and the spectral analysis of linear operators

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𝓟𝓣-symmetric quantum mechanics

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Must a Hamiltonian be Hermitian?

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Preconditioning techniques for large linear systems: A survey

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Quadrature rule-based bounds for functions of adjacency matrices

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Decay properties for functions of matrices over \(C^\ast\)-algebras

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Bounds for the entries of matrix functions with applications to preconditioning

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Decay bounds and \(O(n)\) algorithms for approximating functions of sparse matrices

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Decay Bounds for Functions of Hermitian Matrices with Banded or Kronecker Structure

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A Sparse Approximate Inverse Preconditioner for Nonsymmetric Linear Systems

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Orderings for Factorized Sparse Approximate Inverse Preconditioners

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A Sparse Approximate Inverse Preconditioner for the Conjugate Gradient Method

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Decay Properties of Spectral Projectors with Applications to Electronic Structure

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Analysis of Monte Carlo accelerated iterative methods for sparse linear systems

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On the Closure of the Numerical Range of an Operator

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Efficient approximation of the exponential operator for discrete 2D advection–diffusion problems

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Numerical Methods for Structured Markov Chains

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Computing the exponential of large block-triangular block-Toeplitz matrices encountered in fluid queues

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Incomplete factorization methods for systems with sparse matrices

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On algebras and applications of operators with pseudosparse matrices

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An Optimized Sparse Approximate Matrix Multiply for Matrices with Decay

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Solvers for $\mathcal{O} (N)$ Electronic Structure in the Strong Scaling Limit

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Fast Matrix Computations for Pairwise and Columnwise Commute Times and Katz Scores

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Spectral Properties of Banded Toeplitz Matrices

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Non-localization of eigenfunctions on large regular graphs

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Making Do with Less: An Introduction to Compressed Sensing

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On the decay of the inverse of matrices that are sum of Kronecker products

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Contraction and optimality properties of an adaptive Legendre-Galerkin method: the multi-dimensional case

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Wavelet sparse approximate inverse preconditioners

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Correlation bounds for discrete-time systems with banded dynamics

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A Priori Sparsity Patterns for Parallel Sparse Approximate Inverse Preconditioners

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Asymptotic behaviour of eigenfunctions for multiparticle Schrödinger operators

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Block Preconditioning for the Conjugate Gradient Method

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Numerical range and functional calculus in Hilbert space

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Degree of uniform approximation on disjoint intervals

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A Divide and Conquer method for the symmetric tridiagonal eigenproblem

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Optimal adaptive computations in the Jaffard algebra and localized frames

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The university of Florida sparse matrix collection

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Eigenvectors of random graphs: Nodal Domains

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Computation of the Exponential of Large Sparse Skew-Symmetric Matrices

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Inverses of Band Matrices and Local Convergence of Spline Projections

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Decay Rates for Inverses of Band Matrices

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The design and implementation of the MRRR algorithm

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Sparse regular random graphs: spectral density and eigenvectors

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The electronic structure of smoothly deformed crystals: Wannier functions and the Cauchy-Born Rule

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Decay rates of inverses of banded M-matrices that are near to Toeplitz matrices

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<i>Colloquium</i>: Area laws for the entanglement entropy

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Computation of Faber Series With Application to Numerical Polynomial Approximation in the Complex Plane

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Communicability graph and community structures in complex networks

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Network Properties Revealed through Matrix Functions

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Permanental roots and the star degree of a graph

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On the Decay of the Elements of Inverse Triangular Toeplitz Matrices

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An exact formulation of the time-ordered exponential using path-sums

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PageRank Beyond the Web

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Noncommutative approximation: inverse-closed subalgebras and off-diagonal decay of matrices

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Symmetry and inverse-closedness of matrix algebras and functional calculus for infinite matrices

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Convergence analysis of the finite section method and Banach algebras of matrices

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Parallel Preconditioning with Sparse Approximate Inverses

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Functions of banded Hermitian block Toeplitz matrices in signal processing

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A black-box rational Arnoldi variant for Cauchy-Stieltjes matrix functions

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Subspace Identification of Large-Scale Interconnected Systems

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Sparse solution of the Lyapunov equation for large-scale interconnected systems

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The degree of approximation by polynomials on some disjoint intervals in the complex plane

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Locally supported eigenvectors of matrices associated with connected and unweighted power-law graphs

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Functions of Matrices

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Computing the Polar Decomposition and the Matrix Sign Decomposition in Matrix Groups

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On Krylov Subspace Approximations to the Matrix Exponential Operator

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Approximate sparsity patterns for the inverse of a matrix and preconditioning

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A Stochastic Estimator of the Trace of the Influence Matrix for Laplacian Smoothing Splines

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Decay Bounds on Eigenfunctions and the Singular Spectrum of Unbounded Jacobi Matrices

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Diagonalizing Matrices

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Analytic Properties of Bloch Waves and Wannier Functions

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Factorized Sparse Approximate Inverse Preconditionings I. Theory

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Localization of matrix factorizations

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Localized density matrix minimization and linear-scaling algorithms

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Decomposition of time-ordered products and path-ordered exponentials

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Computational chemistry from the perspective of numerical analysis

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Localized spectrum slicing

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Decay estimates of discretized Green's functions for Schrödinger type operators

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Factorized Banded Inverse Preconditioners for Matrices with Toeplitz Structure

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Fast algorithm for extracting the diagonal of the inverse matrix with application to the electronic structure analysis of metallic systems

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Localized Eigenvectors from Widely Spaced Matrix Modifications

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Schur Complement Preconditioners for Surface Integral-Equation Formulations of Dielectric Problems Solved with the Multilevel Fast Multipole Algorithm

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Computations of eigenpair subsets with the MRRR algorithm

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Decay in Functions of Multiband Matrices

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A Review on the Inverse of Symmetric Tridiagonal and Block Tridiagonal Matrices

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Non-Hermitian Quantum Mechanics

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Identities and exponential bounds for transfer matrices

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Decay Rates of the Inverse of Nonsymmetric Tridiagonal and Band Matrices

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Eigenvalue perturbation bounds for Hermitian block tridiagonal matrices

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Mysteries around the graph Laplacian eigenvalue 4

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Strong Localization in Personalized PageRank Vectors

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Existence of the exponentially localized Wannier functions

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Preconditioning Techniques for Diagonal-times-Toeplitz Matrices in Fractional Diffusion Equations

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Invariant subspaces for tightly clustered eigenvalues of tridiagonals

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A result complementary to Geršgorin's circle theorem

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Relatively robust representations of symmetric tridiagonals

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On the Number of Nonscalar Multiplications Necessary to Evaluate Polynomials

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Norm estimates of complex symmetric operators applied to quantum systems

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New block quadrature rules for the approximation of matrix functions

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Numerical Methods for Electronic Structure Calculations of Materials

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Quantum states on harmonic lattices

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On the finite section method for computing exponentials of doubly-infinite skew-Hermitian matrices

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Vertex-frequency analysis on graphs

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Probing methods for saddle-point problems

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Computational Methods for Linear Matrix Equations

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Exponential decay of resolvents and discrete eigenfunctions of banded infinite matrices

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An Introduction to the Mathematics of Anderson Localization

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Functions of Difference Matrices Are Toeplitz Plus Hankel

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Four short stories about Toeplitz matrix calculations

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Wiener's lemma for infinite matrices with polynomial off-diagonal decay

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Polynomial approximation of functions of matrices and applications

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Sparse random graphs: Eigenvalues and eigenvectors

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Numerical Computation of the Schwarz–Christoffel Transformation

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Spectra, pseudospectra, and localization for random bidiagonal matrices

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LDU factorization results for bi-infinite and semi-infinite scalar and block Toeplitz matrices

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Nonnegatively posed problems and completely monotonic functions

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On some ways of approximating inverses of banded matrices in connection with deriving preconditioners based on incomplete block factorizations

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Detecting Localization in an Invariant Subspace

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Error Bounds for the Krylov Subspace Methods for Computations of Matrix Exponentials

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What is the Laplace Transform?

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Error Bounds for the Lanczos Methods for Approximating Matrix Exponentials

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Identifiers

zbMATH Open document ID

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10.1007/978-3-319-49887-4_4

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2971627

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