Results 21 to 30 of about 5,496,658 (160)
Journal of Mathematical and Fundamental Sciences, 2018 A new method to treat the inherent instability of Lanczos-type algorithms is introduced. It enables us to capture the properties of the sequence of iterates generated by a Lanczos-type algorithm by interpolating on this sequence of points.
Maharani +2 more
doaj +1 more source
Improvement of DOA Estimation based on Lanczos Algorithm [PDF]
Engineering and Technology Journal, 2014 In this paper, the problem of estimating the Direction Of Arrival (DOA) is presented. DOA based on Eigen Vector Decomposition (EVD) shows that the computational complexities are costly and high so that eigen structure algorithms suffer for limited ...
Sinan Majid Abdul Satar +1 more
doaj +1 more source
Algorithmic Error Mitigation Scheme for Current Quantum Processors [PDF]
Quantum, 2021 We present a hardware agnostic error mitigation algorithm for near term quantum processors inspired by the classical Lanczos method. This technique can reduce the impact of different sources of noise at the sole cost of an increase in the number of ...
Philippe Suchsland +5 more
doaj +1 more source
Escaping the Krylov space during the finite-precision Lanczos algorithm. [PDF]
Physical Review EThe Lanczos algorithm, introduced by Cornelius Lanczos, has been known for a long time and is widely used in computational physics. While often employed to approximate extreme eigenvalues and eigenvectors of an operator, interest in the sequence of basis
Jannis Eckseler, Max Pieper, J. Schnack
semanticscholar +1 more source
The Gauss quadrature for general linear functionals, Lanczos algorithm, and minimal partial realization [PDF]
Numerical Algorithms, 2019 The concept of Gauss quadrature can be generalized to approximate linear functionals with complex moments. Following the existing literature, this survey will revisit such generalization.
S. Pozza, M. Pranic
semanticscholar +1 more source
Lanczos algorithm for lattice QCD matrix elements [PDF]
Physical Review DRecent work [M. L. Wagman, Lanczos, the transfer matrix, and the signal-to-noise problem, .] found that an analysis formalism based on the Lanczos algorithm allows energy levels to be extracted from Euclidean correlation functions with faster ground ...
Daniel C. Hackett, Michael L. Wagman
semanticscholar +1 more source
Approximation theory for Green's functions via the Lanczos algorithm [PDF]
It is known that Green's functions can be expressed as continued fractions; the content at the $n$-th level of the fraction is encoded in a coefficient $b_n$, which can be recursively obtained using the Lanczos algorithm.
G. Pinna, Oliver Lunt, C. Keyserlingk
semanticscholar +1 more source
A Structure Preserving Lanczos Algorithm for Computing the Optical Absorption Spectrum [PDF]
SIAM Journal on Matrix Analysis and Applications, 2016 We present a new structure preserving Lanczos algorithm for approximating the optical absorption spectrum in the context of solving the full Bethe--Salpeter equation without Tamm--Dancoff approximation.
Meiyue Shao +5 more
semanticscholar +1 more source
Krylov complexity and orthogonal polynomials
Nuclear Physics B, 2022 Krylov complexity measures operator growth with respect to a basis, which is adapted to the Heisenberg time evolution. The construction of that basis relies on the Lanczos algorithm, also known as the recursion method.
Wolfgang Mück, Yi Yang
doaj +1 more source
A Thick-Restart Lanczos Algorithm with Polynomial Filtering for Hermitian Eigenvalue Problems [PDF]
SIAM Journal on Scientific Computing, 2015 Polynomial filtering can provide a highly effective means of computing all eigenvalues of a real symmetric (or complex Hermitian) matrix that are located in a given interval, anywhere in the spectrum.
Ruipeng Li +4 more
semanticscholar +1 more source