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In this paper we describe how to swap two 2 × 2 blocks in a real Schur form and a generalized real Schur form. We pay special attention to the numerical stability of the method. We also illustrate the stability of our approach by a series of numerical tests. |
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The high temporal resolution of data acquisition
by geostationary satellites and their capability to resolve the
diurnal cycle allows for the retrieval of a valuable source of
information about geophysical parameters. In this paper, we
implement a Kalman filter approach to apply temporal… |
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We study the rate of weak convergence of Markov chains to diffusion processes under quite general assumptions. We give an example in the financial framework, applying the convergence analysis to a multiple jumps tree approximation of the CIR process. Then, we combine the Markov chain approach with… |
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Indefinite symmetric matrices occur in many applications, such as optimization, least squares problems, partial differential equations, and variational problems. In these applications one is often interested in computing a factorization of the indefinite matrix that puts into evidence the inertia… |
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General relativity considers Dixons theory as the standard theory to deal
with the motion of extended bodies in a given gravitational background. We discuss
here the features of the reaction of an extended body to the passage of a weak
gravitational wave. We find that the body acquires a dipolar… |
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A major neglected weakness of many ecological models is the numerical method used to solve the governing systems of differential equations. Indeed, the discrete dynamics described by numerical integrators can provide spurious solution of the corresponding continuous model. The approach represented… |
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Background: The growth arrest-specific transcript 5 gene (GAS5) encodes a long noncoding RNA (lncRNA) and hosts a number of small nucleolar RNAs (snoRNAs) that have recently been implicated in multiple cellular processes and cancer. Here, we investigate the relationship between DNA damage, p53, and… |
