A note on computation of pseudospectra
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F12%3A10128578" target="_blank" >RIV/00216208:11320/12:10128578 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.matcom.2012.03.002" target="_blank" >http://dx.doi.org/10.1016/j.matcom.2012.03.002</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.matcom.2012.03.002" target="_blank" >10.1016/j.matcom.2012.03.002</a>
Alternative languages
Result language
angličtina
Original language name
A note on computation of pseudospectra
Original language description
The aim is to contribute to pseudospectra computation via a path following technique. Given a complex matrix A, we compute the branch consisting of a fixed singular value and the corresponding left and right singular vectors of the parameter dependent matrix (x+ iy)I - A, where I is the identity. The fact that the branch corresponds to the smallest singular value is sufficient to verify at just one point of the branch due to the continuity argument. We can exploit a standard ready-made software.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GA201%2F06%2F0356" target="_blank" >GA201/06/0356: Algorithms for continuation of invariant subspaces of large sparse matrices with applications</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Mathematics and Computers in Simulation
ISSN
0378-4754
e-ISSN
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Volume of the periodical
82
Issue of the periodical within the volume
10
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
11
Pages from-to
1732-1743
UT code for WoS article
000308519900003
EID of the result in the Scopus database
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