LEADER 03775nam 22006135 450 001 9910917789203321 005 20251113195643.0 010 $a9783031713262 010 $a3031713265 024 7 $a10.1007/978-3-031-71326-2 035 $a(MiAaPQ)EBC31837004 035 $a(Au-PeEL)EBL31837004 035 $a(CKB)37018348800041 035 $a(DE-He213)978-3-031-71326-2 035 $a(PPN)282366644 035 $a(EXLCZ)9937018348800041 100 $a20241214d2024 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aRecent Stability Issues for Linear Dynamical Systems $eCetraro, Italy 2021 /$fby Nicolas Gillis, Nicola Guglielmi, Christian Lubich, Volker Mehrmann, Punit Sharma, Bart Vandereycken ; edited by Nicola Guglielmi, Christian Lubich 205 $a1st ed. 2024. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2024. 215 $a1 online resource (184 pages) 225 1 $aC.I.M.E. Foundation Subseries,$x2946-1820 ;$v2357 311 08$a9783031713255 311 08$a3031713257 327 $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. 330 $aThis book concerns matrix nearness problems in the framework of spectral optimization. It addresses some current research directions in spectral-based stability studies for differential equations, with material on ordinary differential equations (ODEs), differential algebraic equations and dynamical systems. Here, ?stability? is interpreted in a broad sense which covers the need to develop stable and reliable algorithms preserving some qualitative properties of the computed solutions, methodologies which are helpful to assess the onset of potential instabilities or loss of robustness, and tools to determine the asymptotic properties of the solution or its discretization. The topics considered include the computation of robustness measures for linear problems, the use of low-rank ODEs to approximate such measures via gradient systems, the regularity, stability, passivity and controllability analysis of structured linear descriptor systems, and the use of acceleration techniques to deal with some of the presented computational problems. Although the emphasis is on the numerical study of differential equations and dynamical systems, the book will also be of interest to researchers in matrix theory, spectral optimization and spectral graph theory, as well as in dynamical systems and systems theory. 410 0$aC.I.M.E. Foundation Subseries,$x2946-1820 ;$v2357 606 $aDifferential equations 606 $aDynamics 606 $aDifferential Equations 606 $aDynamical Systems 615 0$aDifferential equations. 615 0$aDynamics. 615 14$aDifferential Equations. 615 24$aDynamical Systems. 676 $a515.35 700 $aGuglielmi$b Nicola$0739711 701 $aLubich$b Christian$f1959-$058969 701 $aGillis$b Nicolas$01430938 701 $aMehrmann$b V. L$g(Volker Ludwig),$f1955-$0755675 701 $aSharma$b Punit$01780083 701 $aVandereycken$b Bart$01780084 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910917789203321 996 $aRecent Stability Issues for Linear Dynamical Systems$94303717 997 $aUNINA