Manuel Tsolakis
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View article: Polynomial Preconditioning for the Action of the Matrix Square Root and Inverse Square Root
Polynomial Preconditioning for the Action of the Matrix Square Root and Inverse Square Root Open
While preconditioning is a long-standing concept to accelerate iterative methods for linear systems, generalizations to matrix functions are still in their infancy. We go a further step in this direction, introducing polynomial preconditio…
View article: Polynomial preconditioning for the action of the matrix square root and inverse square root
Polynomial preconditioning for the action of the matrix square root and inverse square root Open
While preconditioning is a long-standing concept to accelerate iterative methods for linear systems, generalizations to matrix functions are still in their infancy. We go a further step in this direction, introducing polynomial preconditio…
View article: Krylov subspace restarting for matrix Laplace transforms
Krylov subspace restarting for matrix Laplace transforms Open
A common way to approximate $F(A)b$ -- the action of a matrix function on a vector -- is to use the Arnoldi approximation. Since a new vector needs to be generated and stored in every iteration, one is often forced to rely on restart algor…
View article: Matrix functions via linear systems built from continued fractions
Matrix functions via linear systems built from continued fractions Open
A widely used approach to compute the action $f(A)v$ of a matrix function $f(A)$ on a vector $v$ is to use a rational approximation $r$ for $f$ and compute $r(A)v$ instead. If $r$ is not computed adaptively as in rational Krylov methods, t…
View article: Charge Retention/ChargeDepletion in ESI-MS: TheoreticalRationale
Charge Retention/ChargeDepletion in ESI-MS: TheoreticalRationale Open
Gas\nphase modification in ESI-MS can significantly alter the charge\nstate distribution of small peptides and proteins. The preceding paper\npresented a systematic experimental study on this topic using Substance\nP and proposed a charge …