extended abstracts 2014 written for Mathematical Reviews (review journal of AMS) 21. 11. 2014 MR3235880 (Sent 2014-10-30) Akinola, R. O.; Spence, A. A comparison of the implicit determinant method and inverse iteration. J. Nigerian Math. Soc. 33 (2014), 205--230. 65F15 (15A18) ( here in pdf and here in pdf, zipped) 4. 11. 2014 MR3252840 Ferranti, Micol; Le, Thanh Hieu; Vandebril, Raf A comparison between the complex symmetric based and classical computation of the singular value decomposition of normal matrices. Numer. Algorithms 67 (2014), no. 1, 109--120. 65F15 ( here in pdf and here in pdf, zipped) 13. 8. 2014 MR3216779 (Sent 2014-08-22) Bender, Carl M.; Fring, Andreas; Komijani, Javad Nonlinear eigenvalue problems. J. Phys. A 47 (2014), no. 23, 235204, 15 pp. 34L30 (34E20 37K10) ( here in pdf and here in pdf, zipped) 10. 6. 2014 MR3066631 (Sent 2014-06-04) Batic, D.; Williams, R.; Nowakowski, M. Potentials of the Heun class. J. Phys. A 46 (2013), no. 24, 245204, 21 pp. 81Q05 (34A34) ( here in pdf and here in pdf, zipped) 10. 6. 2014 MR3165916 (Sent 2014-05-06) Kostenko, Aleksey; Malamud, Mark Spectral theory of semibounded Schrödinger operators with $\delta'$-interactions. Ann. Henri Poincaré 15 (2014), no. 3, 501--541. 47A10 ( here in pdf and here in pdf, zipped) 18. 4. 2014 MR3148097 Jitomirskaya, Svetlana; Mavi, Rajinder Continuity of the measure of the spectrum for quasiperiodic Schrödinger operators with rough potentials. Comm. Math. Phys. 325 (2014), no. 2, 585--601. 47A10 (47F05) ( here in pdf and here in pdf, zipped) 14. 2. 2014 MR3114232 (Sent 2014-01-28) Valtancoli, P. Algebraic method for the harmonic oscillator with a minimal length. J. Math. Phys. 54 (2013), no. 7, 073509, 6 pp. 81R60 ( here in pdf and here in pdf, zipped) 31. 1. 2014 MR3077277 (Sent 2014-01-21) Demuth, Michael; Hansmann, Marcel; Katriel, Guy Eigenvalues of non-selfadjoint operators: a comparison of two approaches. Mathematical physics, spectral theory and stochastic analysis, 107--163, Oper. Theory Adv. Appl., 232, Birkhäuser/Springer Basel AG, Basel, 2013. 47A10 (47A75 47B36) ( here in pdf and here in pdf, zipped) jump to the older extended abstracts: written during 2013; written during 2012; written during 2011; written during 2010; written during 2009; written during 2008; written during the years 1999 - 2007