Results 91 to 100 of about 78,319 (219)

Toward Krylov-based holography in double-scaled SYK

Journal of High Energy Physics
Building on the duality between Krylov complexity and geodesic length in Jackiw-Teitelboim and sine-dilaton gravity, we develop a precise holographic dictionary for quantities in the Krylov subspace of the double-scaled Sachdev-Ye-Kitaev model (DSSYK ...
Yichao Fu, Hyun-Sik Jeong, Keun-Young Kim, Juan F. Pedraza   +3 more
doaj   +1 more source

A Time-Segmented SAI-Krylov Subspace Approach for Large-Scale Transient Electromagnetic Forward Modeling

Applied Sciences
After nearly two decades of development, transient electromagnetic (TEM) 3D forward modeling technology has significantly improved both numerical precision and computational efficiency, primarily through advancements in mesh generation and the ...
Ya’nan Fan, Kailiang Lu, Juanjuan Li, Tianchi Fu   +3 more
doaj   +1 more source

Extended block Hessenberg method for large-scale Sylvester differential matrix equations [PDF]

Journal of Mahani Mathematical Research
In this paper, we consider large-scale low-rank Sylvester differential matrix equations. We present two iterative methods for the approximate solution of such differential matrix equations. In the first method, exploiting the extended block Krylov method,
Azita Tajaddini
doaj   +1 more source

A nested Krylov subspace method to compute the sign function of large complex matrices

, 2011
We present an acceleration of the well-established Krylov-Ritz methods to compute the sign function of large complex matrices, as needed in lattice QCD simulations involving the overlap Dirac operator at both zero and nonzero baryon density.
Bloch, Jacques C.R., Jacques C.R. Bloch, Jacques C. R. Bloch, Simon Heybrock, Heybrock, Simon   +4 more
core   +1 more source

Developing Hessian–Free Second–Order Adversarial Examples for Adversarial Training

International Journal of Applied Mathematics and Computer Science
Recent studies show that deep neural networks (DNNs) are extremely vulnerable to elaborately designed adversarial examples. Adversarial training, which uses adversarial examples as training data, has been proven to be one of the most effective methods of
Qian Yaguan, Zhang Liangjian, Wang Yuqi, Ji Boyuan, Yao Tengteng, Wang Bin   +5 more
doaj   +1 more source

Overview of Krylov subspace methods with applications to control problems [PDF]

, 1989
An overview of projection methods based on Krylov subspaces are given with emphasis on their application to solving matrix equations that arise in control problems.
Saad, Youcef
core  

Krylov complexity in the Schrödinger field theory

Journal of High Energy Physics
We investigate the Krylov complexity of Schrödinger field theories, focusing on both bosonic and fermionic systems within the grand canonical ensemble which includes a chemical potential.
Peng-Zhang He, Hai-Qing Zhang
doaj   +1 more source

A Global Krylov Subspace Method for the Sylvester Quaternion Matrix Equation

Journal of New Theory
This study concerns the Sylvester matrix equation in the quaternion setting when the coefficient matrices as well as the unknown matrix have quaternion entries.
Sinem Şimşek
doaj   +1 more source

Stochastic estimation of level density in nuclear shell-model calculations

EPJ Web of Conferences, 2016
An estimation method of the nuclear level density stochastically based on nuclear shell-model calculations is introduced. In order to count the number of the eigen-values of the shell-model Hamiltonian matrix, we perform the contour integral of the ...
Shimizu Noritaka, Utsuno Yutaka, Futamura Yasunori, Sakurai Tetsuya, Mizusaki Takahiro, Otsuka Takaharu   +5 more
doaj   +1 more source

Krylov Subspace Methods on Parallel Computers

, 1996
The aspects of implementing Krylov subspace methods on parallel computers are investigated. It is shown how to increase the parallel performance by restructuring standard sequential versions of the algorithms, with some trade-off in stability.
Patrik Skogqvist
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