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09/06/2023
A multilinear Nyström algorithm for low-rank approximation of tensors in Tucker format
The Nyström method offers an effective way to obtain low-rank approximat...
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01/19/2023
An effcient block rational Krylov solver for Sylvester equations with adaptive pole selection
We present an algorithm for the solution of Sylvester equations with rig...
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01/17/2023
A nested divide-and-conquer method for tensor Sylvester equations with positive definite hierarchically semiseparable coefficients
Linear systems with a tensor product structure arise naturally when cons...
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08/10/2022
Low-rank tensor structure preservation in fractional operators by means of exponential sums
The use of fractional differential equations is a key tool in modeling n...
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07/16/2021
Tropical Laurent series, their tropical roots, and localization results for the eigenvalues of nonlinear matrix functions
Tropical roots of tropical polynomials have been previously studied and ...
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04/23/2021
Hierarchical adaptive low-rank format with applications to discretized PDEs
A novel compressed matrix format is proposed that combines an adaptive h...
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04/01/2021
Mixed precision recursive block diagonalization for bivariate functions of matrices
Various numerical linear algebra problems can be formulated as evaluatin...
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10/22/2020
Rank-structured QR for Chebyshev rootfinding
We consider the computation of roots of polynomials expressed in the Che...
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09/24/2020
Sampling the eigenvalues of random orthogonal and unitary matrices
We develop an efficient algorithm for sampling the eigenvalues of random...
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07/01/2020
A finite element model updating method based on global optimization
Finite element model updating of a structure made of linear elastic mate...
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12/09/2019
Structured backward errors in linearizations
A standard approach to compute the roots of a univariate polynomial is t...
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09/25/2019
A computational framework for two-dimensional random walks with restarts
The treatment of two-dimensional random walks in the quarter plane leads...
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09/17/2019
hm-toolbox: Matlab software for HODLR and HSS matrices
Matrices with hierarchical low-rank structure, including HODLR and HSS m...
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08/06/2019
Rational Krylov for Stieltjes matrix functions: convergence and pole selection
Evaluating the action of a matrix function on a vector, that is x=f( M)v...
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07/05/2019
Rational Krylov and ADI iteration for infinite size quasi-Toeplitz matrix equations
We consider a class of linear matrix equations involving semi-infinite m...
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07/04/2019