Balanced truncation-rational Krylov methods for model reduction in large scale dynamical systems
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DOI: 10.1007/s40314-016-0359-z
Abstract: In this paper, we consider the balanced truncation method for model reductions in large-scale linear and time-independent dynamical systems with multi-inputs and multi-outputs. The method is based on the solutions of two large coupled Lyapunov… read more here.
Keywords: large scale; rational krylov; model; balanced truncation ... See more keywords
Fast 3-D Controlled-Source Electromagnetic Modeling Combining UPML and Rational Krylov Method
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Geoscience and Remote Sensing Letters"
DOI: 10.1109/lgrs.2022.3162695
Abstract: Controlled-source electromagnetic (CSEM) surveying is a critical tool for sensing and locating underground anomalies and structures. In this letter, based on uniaxial perfectly matched layer (UPML) and rational Krylov (RK) method, we propose a fast… read more here.
Keywords: upml rational; rational krylov; controlled source; krylov method ... See more keywords
Accelerating the Frequency Domain Controlled-Source Electromagnetic Data Inversion Using Rational Krylov Subspace Algorithm
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Geoscience and Remote Sensing"
DOI: 10.1109/tgrs.2022.3183838
Abstract: Controlled-source electromagnetic (CSEM) method is crucial for detecting and locating underground anomalies and structures. However, it is challenging to interpret the field data with multifrequency via 3-D CSEM inversion. To fully excavate and utilize the… read more here.
Keywords: rational krylov; inversion; controlled source; krylov subspace ... See more keywords
Shift-invert rational Krylov method for evolution equations
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DOI: 10.21914/anziamj.v58i0.11622
Abstract: In order to obtain the numerical solution of evolution equations which arise in various fields of science and technology, the computation of matrix functions called \(\phi\)-functions is required. This paper proposes a new method called… read more here.
Keywords: rational krylov; shift invert; evolution equations; method ... See more keywords