Zobrazeno 1 - 10
of 19 976
pro vyhledávání: '"Iterative solver"'
Autor:
Xu, Ruihan, Lu, Yiping
Iterative sketching and sketch-and-precondition are well-established randomized algorithms for solving large-scale, over-determined linear least-squares problems. In this paper, we introduce a new perspective that interprets Iterative Sketching and S
Externí odkaz:
http://arxiv.org/abs/2410.11115
Fast Iterative Solver For Neural Network Method: II. 1D Diffusion-Reaction Problems And Data Fitting
This paper expands the damped block Newton (dBN) method introduced recently in [4] for 1D diffusion-reaction equations and least-squares data fitting problems. To determine the linear parameters (the weights and bias of the output layer) of the neura
Externí odkaz:
http://arxiv.org/abs/2407.01496
Autor:
Katagiri, Takahiro, Sakurai, Takao, Igai, Mitsuyoshi, Itoh, Shoji, Ohshima, Satoshi, Kuroda, Hisayasu, Naono, Ken, Nakajima, Kengo
In this paper, we propose a general application programming interface named OpenATLib for auto-tuning (AT). OpenATLib is designed to establish the reusability of AT functions. By using OpenATLib, we develop a fully auto-tuned sparse iterative solver
Externí odkaz:
http://arxiv.org/abs/2405.01599
The discretization of the deep Ritz method [18] for the Poisson equation leads to a high-dimensional non-convex minimization problem, that is difficult and expensive to solve numerically. In this paper, we consider the shallow Ritz approximation to o
Externí odkaz:
http://arxiv.org/abs/2404.17750
This paper proposes and tests the first-ever reduced basis warm-start iterative method for the parametrized linear systems, exemplified by those discretizing the parametric partial differential equations. Traditional iterative methods are usually use
Externí odkaz:
http://arxiv.org/abs/2311.13862
We introduce an iterative solver named MINARES for symmetric linear systems $Ax \approx b$, where $A$ is possibly singular. MINARES is based on the symmetric Lanczos process, like MINRES and MINRES-QLP, but it minimizes $\|Ar_k\|$ in each Krylov subs
Externí odkaz:
http://arxiv.org/abs/2310.01757
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