Fast convergence of trust-regions for non-isolated minima via analysis of CG on indefinite matrices

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Publications associées (5)

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Analysis of eigenvalue condition numbers for a class of randomized numerical methods for singular matrix pencils

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The numerical solution of the generalized eigenvalue problem for a singular matrix pencil is challenging due to the discontinuity of its eigenvalues. Classically, such problems are addressed by first extracting the regular part through the staircase form a ...

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Multi-echo T-2 magnetic resonance images contain information about the distribution of T-2 relaxation times of compartmentalized water, from which we can estimate relevant brain tissue properties such as the myelin water fraction (MWF). Regularized non-neg ...

ACADEMIC PRESS INC ELSEVIER SCIENCE2021

Subspace Acceleration For Large-Scale Parameter-Dependent Hermitian Eigenproblems

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This work is concerned with approximating the smallest eigenvalue of a parameter-dependent Hermitian matrix A(mu) for many parameter values mu in a domain D subset of R-P. The design of reliable and efficient algorithms for addressing this task is of impor ...

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Projection Methods For Large-Scale T-Sylvester Equations

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The matrix Sylvester equation for congruence, or T-Sylvester equation, has recently attracted considerable attention as a consequence of its close relation to palindromic eigenvalue problems. The theory concerning T-Sylvester equations is rather well under ...

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Reduced order modeling techniques for numerical homogenization methods applied to linear and nonlinear multiscale problems

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The characteristic of effective properties of physical processes in heterogeneous media is a basic modeling and computational problem for many applications. As standard numerical discretization of such multiscale problems (e.g. with classical finite elemen ...

EPFL2013