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020 _a9783031713262
_9978-3-031-71326-2
024 7 _a10.1007/978-3-031-71326-2
_2doi
050 4 _aQA370-380
072 7 _aPBKJ
_2bicssc
072 7 _aMAT007000
_2bisacsh
072 7 _aPBKJ
_2thema
100 1 _aGillis, Nicolas.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_988897
245 1 0 _aRecent Stability Issues for Linear Dynamical Systems
_h[electronic resource] :
_bCetraro, Italy 2021 /
_cby Nicolas Gillis, Nicola Guglielmi, Christian Lubich, Volker Mehrmann, Punit Sharma, Bart Vandereycken ; edited by Nicola Guglielmi, Christian Lubich.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Springer,
_c2024.
300 _aXI, 176 p. 18 illus., 15 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aC.I.M.E. Foundation Subseries,
_x2946-1820 ;
_v2357
505 0 _aIntroduction -- Chapter 1. Solving Matrix Nearness Problems via Hamiltonian Systems, Matrix Factorization and Optimisation -- Chapter 2. Eigenvalue Optimization and Matrix Nearness Problems via Constrained Gradient Systems -- Chapter 3. Regularity, Stability, Passivity and Controllability of Structured Linear Descriptor Systems -- Chapter 4. Algorithms for Eigenvalue Optimization Related to Stability of Dynamical Systems.
520 _aThis book concerns matrix nearness problems in the framework of spectral optimization. It addresses some current research directions in spectral-based stability studies for differential equations, with material on ordinary differential equations (ODEs), differential algebraic equations and dynamical systems. Here, ‘stability’ is interpreted in a broad sense which covers the need to develop stable and reliable algorithms preserving some qualitative properties of the computed solutions, methodologies which are helpful to assess the onset of potential instabilities or loss of robustness, and tools to determine the asymptotic properties of the solution or its discretization. The topics considered include the computation of robustness measures for linear problems, the use of low-rank ODEs to approximate such measures via gradient systems, the regularity, stability, passivity and controllability analysis of structured linear descriptor systems, and the use of acceleration techniques to deal with some of the presented computational problems. Although the emphasis is on the numerical study of differential equations and dynamical systems, the book will also be of interest to researchers in matrix theory, spectral optimization and spectral graph theory, as well as in dynamical systems and systems theory.
650 0 _aDifferential equations.
650 0 _aDynamical systems.
650 1 4 _aDifferential Equations.
650 2 4 _aDynamical Systems.
700 1 _aGuglielmi, Nicola.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_988898
700 1 _aLubich, Christian.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_988899
700 1 _aMehrmann, Volker.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_988900
700 1 _aSharma, Punit.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_988901
700 1 _aVandereycken, Bart.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_988902
700 1 _aGuglielmi, Nicola.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
_988898
700 1 _aLubich, Christian.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
_988899
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031713255
776 0 8 _iPrinted edition:
_z9783031713279
830 0 _aC.I.M.E. Foundation Subseries,
_x2946-1820 ;
_v2357
_985459
856 4 0 _uhttps://doi.org/10.1007/978-3-031-71326-2
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