May 9, 2024 · In this work, we consider a fine-grained notion of complexity for iterative linear solvers which we call the spectral tail condition number, \kappa_\ell.
May 9, 2024 · The paper explores the challenge of characterizing the time complexity of iterative methods for solving large systems of linear equations, ...
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Fine-grained Analysis and Faster Algorithms for Iteratively Solving Linear Systems ... 解决问题. 论文提出一种fine-grained的复杂度分析方法，旨在解决大规模 ...
Fine-grained Analysis and Faster Algorithms for Iteratively Solving Linear Systems · Dereziński, Michał · LeJeune, Daniel · Needell, Deanna · Rebrova, Elizaveta.
We present two new algorithms, ADT and MDT, for solving order-n Toeplitz systems of linear equations Tz = b in time O(n log2 n) and space O(n). The fastest ...
Fine-grained Analysis and Faster Algorithms for Iteratively Solving Linear Systems ... linear time algorithms for solving directed LaplACian systems.
We demonstrate that the new approach is much faster and uses much less memory than the LU factorization algorithm for both two-dimensional and three-dimensional ...
We develop a novel, fundamental, and surprisingly simple randomized iterative method for solving consistent linear systems.
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[PDF] Templates for the Solution of Linear Systems - The Netlib
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In this chapter we present both historical development and state-of-the-art methods for solving some of the most challenging computational problems facing ...
We introduce the sparsified Cholesky and sparsified multigrid algorithms for solving systems of linear equations. These algorithms accelerate Gaussian ...