Results 81 to 90 of about 641 (184)

Error Estimators for a Krylov Subspace Iterative Method for Solving Linear Systems of Equations with a Symmetric Indefinite Matrix

Axioms
This paper describes a Krylov subspace iterative method designed for solving linear systems of equations with a large, symmetric, nonsingular, and indefinite matrix.
Mohammed Alibrahim, Mohammad Taghi Darvishi, Lothar Reichel, Miodrag M. Spalević   +3 more
doaj   +1 more source

Deterministic sketching for Krylov subspace methods

CoRR
Randomized sketching is currently introduced into every area of numerical linear algebra. In Krylov subspace methods, it allows runtime savings at the cost of small accuracy reductions. This work offers a different view on sketching in Krylov methods by analyzing what subspace embeddings are obtained by arbitrary sketching matrices.
openaire   +2 more sources

Connecting randomized iterative methods with Krylov subspaces

CoRR
Randomized iterative methods, such as the randomized Kaczmarz method, have gained significant attention for solving large-scale linear systems due to their simplicity and efficiency. Meanwhile, Krylov subspace methods have emerged as a powerful class of algorithms, known for their robust theoretical foundations and rapid convergence properties. Despite
Yonghan Sun, Deren Han, Jiaxin Xie
openaire   +2 more sources

Structural Response Evaluation of Krylov Subspace-Based Reduced-Order Model for Real-Time Structural Health Monitoring and Prediction of Container Ships

한국해양공학회지
Recently, digital transformation has become crucial for the safe operation and extended lifespan of ships and offshore structures. Structural health management is gaining importance and driving interest in digital twin technology for monitoring ...
Kichan Sim, Byoung Wan Kim, Jeong Sam Han, Kangsu Lee   +3 more
doaj   +1 more source

Model order reduction of linear time invariant systems [PDF]

Advances in Radio Science, 2008
This paper addresses issues related to the order reduction of systems with multiple input/output ports. The order reduction is divided up into two steps.
Lj. Radić-Weissenfeld, S. Ludwig, W. Mathis, W. John   +3 more
doaj  

An Introduction to Krylov Subspace Methods

, 2018
Nowadays, many fields of study are have to deal with large and sparse data matrixes, but the most important issue is finding the inverse of these matrixes. Thankfully, Krylov subspace methods can be used in solving these types of problem. However, it is difficult to understand mathematical principles behind these methods.
openaire   +2 more sources

Approximate Exponential Integrators for Time-Dependent Equation-of-Motion Coupled Cluster Theory. [PDF]

J Chem Theory Comput, 2023
Williams-Young DB, Yuwono SH, DePrince Iii AE, Yang C.   +3 more
europepmc   +1 more source

Enhanced Subspace Iteration Technique for Probabilistic Modal Analysis of Statically Indeterminate Structures

Mathematics
In structural stochastic dynamic analysis, the consideration of the randomness in the physical parameters of the structure necessitates the establishment of numerous stochastic finite element models and the subsequent computation of their corresponding ...
Hongfei Cao, Xi Peng, Bin Xu, Fengjiang Qin, Qiuwei Yang   +4 more
doaj   +1 more source

Application Research of Model Order Reduction Method in Transient Thermal Simulation

机车电传动, 2014
To solve the problem of transient thermal simulation consuming a large amount of computer resources, model data of IGBT air-cooled radiator based on transient heat conduction equation and model order redution method were extracted by computational fulid ...
DING Jie, TANG Yutu
doaj  

An Optimized Schwarz Method for the Optical Response Model Discretized by HDG Method. [PDF]

Entropy (Basel), 2023
Chen JF, Gu XM, Li L, Zhou P.
europepmc   +1 more source