Algorithms for modifying recurrence relations of orthogonal polynomial and rational functions when changing the discrete inner product
Often, polynomials or rational functions, orthogonal for a particular inner product are desired.
In practical numerical algorithms these polynomials are not constructed, but instead the …
In practical numerical algorithms these polynomials are not constructed, but instead the …
Quantum Rational Transformation Using Linear Combinations of Hamiltonian Simulations
Rational functions are exceptionally powerful tools in scientific computing, yet their abilities
to advance quantum algorithms remain largely untapped. In this paper, we introduce …
to advance quantum algorithms remain largely untapped. In this paper, we introduce …
Deflated and restarted Krylov subspace methods for Sylvester tensor equations
Y Gu, G Wu, X Zhang - Calcolo, 2023 - Springer
Tensor Krylov subspace methods are popular technologies for solving Sylvester tensor
equations, among which the GMRES method based on tensor format (GMRES_BTF) and the …
equations, among which the GMRES method based on tensor format (GMRES_BTF) and the …
Computation of generalized matrix functions with rational Krylov methods
We present a class of algorithms based on rational Krylov methods to compute the action of
a generalized matrix function on a vector. These algorithms incorporate existing methods …
a generalized matrix function on a vector. These algorithms incorporate existing methods …
[PDF][PDF] Biorthogonal rational Krylov subspace methods
A general framework for oblique projections of non-Hermitian matrices onto rational Krylov
subspaces is developed. To obtain this framework we revisit the classical rational Krylov …
subspaces is developed. To obtain this framework we revisit the classical rational Krylov …
An Arnoldi-based approach to polynomial and rational least squares problems
In this research, we solve polynomial, Sobolev polynomial, rational, and Sobolev rational
least squares problems. Although the increase in the approximation degree allows us to fit …
least squares problems. Although the increase in the approximation degree allows us to fit …
Transformation and approximation of rational Krylov spaces with an application to 2.5-dimensional direct current resistivity modeling
S Stein - 2021 - tubaf.qucosa.de
Abstract (DE) Die vorliegende Arbeit befasst sich mit der Fragestellung, inwiefern sich
gegebene Verfahren zur Approximation von rationalen Krylow-Räumen zur Berechnung von …
gegebene Verfahren zur Approximation von rationalen Krylow-Räumen zur Berechnung von …
Biorthogonal Extended Krylov Subspace Methods
A general framework for oblique projections of nonhermitian matrices onto rational Krylov
subspaces is developed. To obtain this framework we revisit the classical rational Krylov …
subspaces is developed. To obtain this framework we revisit the classical rational Krylov …