This HTML5 document contains 41 embedded RDF statements represented using HTML+Microdata notation.

The embedded RDF content will be recognized by any processor of HTML5 Microdata.

Namespace Prefixes

PrefixIRI
n12http://linked.opendata.cz/ontology/domain/vavai/riv/typAkce/
dctermshttp://purl.org/dc/terms/
n17http://purl.org/net/nknouf/ns/bibtex#
n8http://localhost/temp/predkladatel/
n16http://linked.opendata.cz/resource/domain/vavai/riv/tvurce/
n20http://linked.opendata.cz/ontology/domain/vavai/
n21http://linked.opendata.cz/resource/domain/vavai/zamer/
n14https://schema.org/
shttp://schema.org/
skoshttp://www.w3.org/2004/02/skos/core#
n3http://linked.opendata.cz/ontology/domain/vavai/riv/
n6http://linked.opendata.cz/resource/domain/vavai/vysledek/RIV%2F00216305%3A26220%2F09%3APU80931%21RIV10-MSM-26220___/
n2http://linked.opendata.cz/resource/domain/vavai/vysledek/
rdfhttp://www.w3.org/1999/02/22-rdf-syntax-ns#
n10http://linked.opendata.cz/ontology/domain/vavai/riv/klicoveSlovo/
n19http://linked.opendata.cz/ontology/domain/vavai/riv/duvernostUdaju/
xsdhhttp://www.w3.org/2001/XMLSchema#
n18http://linked.opendata.cz/ontology/domain/vavai/riv/aktivita/
n7http://linked.opendata.cz/ontology/domain/vavai/riv/jazykVysledku/
n15http://linked.opendata.cz/ontology/domain/vavai/riv/obor/
n9http://linked.opendata.cz/ontology/domain/vavai/riv/druhVysledku/
n11http://reference.data.gov.uk/id/gregorian-year/

Statements

Subject Item
n2:RIV%2F00216305%3A26220%2F09%3APU80931%21RIV10-MSM-26220___
rdf:type
skos:Concept n20:Vysledek
dcterms:description
The paper deals with a method how to determine a derivative of a matrix exponential function with respect to a parameter inside a matrix of the exponent. The considered technique is based on a Laplace transform approach when, in the transform domain, the derivative is easily stated. To get a result in the original domain, however, it is necessary to use some numerical technique of an inverse Laplace transform (NILT). In the paper, two such methods are presented. To ensure numerical stability of the computation the NILT method is always preceeded by scaling to decrease a Euclidean norm of the matrix below a predefined value, and followed by squaring to return it to the original value. The method finds its practical application in various fields of the electrical engineering simulation, e.g. for a sensitivity analysis in systems with multiconductor transmission lines as their distributed parts. The paper deals with a method how to determine a derivative of a matrix exponential function with respect to a parameter inside a matrix of the exponent. The considered technique is based on a Laplace transform approach when, in the transform domain, the derivative is easily stated. To get a result in the original domain, however, it is necessary to use some numerical technique of an inverse Laplace transform (NILT). In the paper, two such methods are presented. To ensure numerical stability of the computation the NILT method is always preceeded by scaling to decrease a Euclidean norm of the matrix below a predefined value, and followed by squaring to return it to the original value. The method finds its practical application in various fields of the electrical engineering simulation, e.g. for a sensitivity analysis in systems with multiconductor transmission lines as their distributed parts.
dcterms:title
Numerical matrix exponential function derivative via Laplace transform approach Numerical matrix exponential function derivative via Laplace transform approach
skos:prefLabel
Numerical matrix exponential function derivative via Laplace transform approach Numerical matrix exponential function derivative via Laplace transform approach
skos:notation
RIV/00216305:26220/09:PU80931!RIV10-MSM-26220___
n3:aktivita
n18:Z
n3:aktivity
Z(MSM0021630503)
n3:dodaniDat
n11:2010
n3:domaciTvurceVysledku
n16:9762175
n3:druhVysledku
n9:D
n3:duvernostUdaju
n19:S
n3:entitaPredkladatele
n6:predkladatel
n3:idSjednocenehoVysledku
330213
n3:idVysledku
RIV/00216305:26220/09:PU80931
n3:jazykVysledku
n7:eng
n3:klicovaSlova
matrix exponential function, derivative, Laplace transform, numerical inversion, sensitivity
n3:klicoveSlovo
n10:matrix%20exponential%20function n10:Laplace%20transform n10:numerical%20inversion n10:derivative n10:sensitivity
n3:kontrolniKodProRIV
[C059795068DC]
n3:mistoKonaniAkce
Vídeň
n3:mistoVydani
Vídeň
n3:nazevZdroje
Proceedings MATHMOD 09 Vienna, Full Papers CD Volume
n3:obor
n15:JA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
1
n3:rokUplatneniVysledku
n11:2009
n3:tvurceVysledku
Brančík, Lubomír
n3:typAkce
n12:WRD
n3:zahajeniAkce
2009-02-11+01:00
n3:zamer
n21:MSM0021630503
s:numberOfPages
4
n17:hasPublisher
ARGESIM / ASIM
n14:isbn
978-3-901608-35-3
n8:organizacniJednotka
26220