Search results for "T matrix"
showing 9 items of 39 documents
Spectral study of {R, s + 1, k}- and {R, s + 1, k, *}-potent matrices
2020
[EN] The {R, s +1, k}- and {R, s +1, k, *}-potent matrices have been studied in several recent papers. We continue these investigations from a spectral point of view. Specifically, a spectral study of {R, s + 1, k} -potent matrices is developed using characterizations involving an associated matrix pencil (A, R). The corresponding spectral study for {R, s+ 1, k, *}-potent matrices involves the pencil (A*, R). In order to present some properties, the relevance of the projector I - AA(#). where A(#) is the group inverse of A is highlighted. In addition, some applications and numerical examples are given, particularly involving Pauli matrices and the quaternions.
Properties of a matrix group associated to a {K,s+1}-potent matrix
2012
In a previous paper, the authors introduced and characterized a new kind of matrices called {K,s+1}-potent. In this paper, an associated group to a {K, s+1}-potent matrix is explicitly constructed and its properties are studied. Moreover, it is shown that the group is a semidirect product of Z_2 acting on Z_{(s+1)^2-1}. For some values of s, more specifications on the group are derived. In addition, some illustrative examples are given.
Higher order matrix differential equations with singular coefficient matrices
2015
In this article, the class of higher order linear matrix differential equations with constant coefficient matrices and stochastic process terms is studied. The coefficient of the highest order is considered to be singular; thus, rendering the response determination of such systems in a straightforward manner a difficult task. In this regard, the notion of the generalized inverse of a singular matrix is used for determining response statistics. Further, an application relevant to engineering dynamics problems is included.
Examining stability of independent component analysis based on coefficient and component matrices for voxel-based morphometry of structural magnetic …
2018
Independent component analysis (ICA) on group-level voxel-based morphometry (VBM) produces the coefficient matrix and the component matrix. The former contains variability among multiple subjects for further statistical analysis, and the latter reveals spatial maps common for all subjects. ICA algorithms converge to local optimization points in practice and the mostly applied stability investigation approach examines the stability of the extracted components. We found that the practically stable components do not guarantee to produce the practically stable coefficients of ICA decomposition for the further statistical analysis. Consequently, we proposed a novel approach including two steps: …
The nature and impacts of environmental spillovers on housing prices: A spatial hedonic analysis
2014
Abstract: This paper investigates the spatial dimension of the environmental effects. We use recent advances in spatial econometrics to show that hedonic equations produce estimates to be differently interpreted as implicit prices according to spatial models. In particularly, the i mplicit price of housing attribute combines a feedback effect and a propagation effect and may be interpreted in terms of local or global spillovers. We drive an empirical study in the estuary of the Loire, a rural and urban area well occupied by various natural areas and more artificialized ones. We study various spatial interaction patterns to test the robustness of our estimates and we find that spatial depend…
Consequences of forest landscape changes on the availability of winter pastures for reindeer (Rangifer tarandus tarandus) from 1953 to 2003 in Kuusam…
2013
Mathematical modelling of problems of mathematical physics with periodic boundary conditions
2014
Darbā izstrādāti jauni speciāli algoritmi parasto un parciālo diferenciālvienādojumu problēmu ar periodiskajiem nosacījumiem skaitliskai modelēšanai, kuri balstās uz precīzā spektra izmantošanu telpisko parciālo atvasinājuma aproksimēšanai ar galīgajām diferencēm. Algoritmi tiek veidoti dažādām divdimensiju matemātiskās fizikas problēmām (lineārām un nelineārām), balstoties uz taišņu metodes algoritmiem un precīzā spektra diferenču shēmām. Izveidotie algoritmi tiek realizēti un salīdzināti ar datorprogrammas MATLAB palīdzību. Ar iegūtajiem algoritmiem tiek risinātas vairākas lietišķas problēmas, t.sk 2D magneto-hidrodinamiska plūsma ap periodiski novietotiem cilindriem, 2D plūsma cilindrā ā…
Evaluation of labor skills in Latvia
2019
Skills are a decisive factor for the country's economic development and social-well-being. The OECD emphasizes that strips can help countries integrate into global markets and specialize in technological advanced industries, and countries need to invest in fields not only to help people enter the labour market and protect from the risk of job losses and low quality of work, but also to increase international competitiveness and economic progress in an interlinked world. The aim of the research is to evaluate the most demanded labour skills in Latvia within the framework of certain groups of professions, as well as trends in the demand changes according to the skills of employees in order to…