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Krylov Subspace Methods: Principles and Analysis
, 2012J. Liesen, Z. Strakoš
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Krylov subspace methods to solve a class of tensor equations via the Einstein product
Numerical Linear Algebra with Applications, 2019This paper is concerned with some of the well‐known iterative methods in their tensor forms to solve a class of tensor equations via the Einstein product.
Baohua Huang, Yajun Xie, Changfeng Ma
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Krylov Subspace Methods for Quantum Dynamics with Time-Dependent Generators.
Physical Review LettersKrylov subspace methods in quantum dynamics identify the minimal subspace in which a process unfolds. To date, their use is restricted to time evolutions governed by time-independent generators.
Kazutaka Takahashi, Adolfo del Campo
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Continuous Analogues of Krylov Subspace Methods for Differential Operators
SIAM Journal on Numerical Analysis, 2019Analogues of the conjugate gradient method, minimum residual method, and generalized minimum residual method are derived for solving boundary value problems (BVPs) involving ordinary differential e...
M. A. Gilles, Alex Townsend
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Macromodelling oscillators using krylov-subspace methods
Asia and South Pacific Conference on Design Automation, 2006., 2006We present an efficient method for automatically extracting unified amplitude/phase macromodels of arbitrary oscillators from their SPICE-level circuit descriptions. Such comprehensive oscillator macromodels are necessary for accuracy when speeding up simulation of higher-level circuits/systems, such as PLLs, in which oscillators are embedded. Standard
Xiaolue Lai, Jaijeet Roychowdhury
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Spectral Variants of Krylov Subspace Methods
Numerical Algorithms, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Molina, Brígida, Raydan, Marcos
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Projection Methods in Krylov Subspaces
Journal of Mathematical Sciences, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Error-Minimizing Krylov Subspace Methods
SIAM Journal on Scientific Computing, 1994This paper first introduces generalized conjugate gradient methods which specialize to error minimizing procedures as well as to residual minimizing methods. General minimum error methods are then introduced, and the two method classes are compared.
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On Moment Methods in Krylov Subspaces
Doklady Mathematics, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Multigrid Incomplete Factorization Methods in Krylov Subspaces
Journal of Mathematical Sciences, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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