Institut für Zuverlässiges Rechnen
Leiter:
Prof. Dr. Siegfried M. Rump
PUBLIKATIONEN - PRASHANT BATRA
- S.M. Rump and P. Batra. Addendum to the determinant of a perturbed identity matrix. Linear Algebra and its Applications (LAA), 565:309–312, 2019. (PDF) (doi:10.1016/j.laa.2018.11.029)
- P. Batra. On Fibonacci-type polynomial recurrences of order two and the accumulation points of their set of zeros. Annales Mathematicae et Informaticae, 49:33–41, 2018. (doi:10.33039/ami.2018.05.004)
- P. Batra. Componentwise Products of Totally Non-Negative Matrices Generated by Functions in the Laguerre–Pólya Class. In N. Bebiano, editor, Applied and Computational Matrix Analysis: MAT-TRIAD, Coimbra, Portugal, September 2015 Selected, Revised Contributions, pages 151–163. Springer International Publishing, 2017. (doi:10.1007/978-3-319-49984-0_11)
- P. Batra and V. Sharma. Near Optimal Subdivision Algorithms for Real Root Isolation. Journal of Symbolic Computation, 83:4–35, 2017. (doi:10.1016/j.jsc.2016.11.004)
- P. Batra, M. Mignotte, and D. c Stefanescu. Improvements of Lagrange's bound for polynomial roots. Journal of Symbolic Computation, 82:19–25, 2017. (doi:10.1016/j.jsc.2016.10.001)
- P. Batra. On the Quality of Some Root-Bounds. In I.S. Kotsireas, S.M. Rump, and C.K. Yap, editors, Mathematical Aspects of Computer and Information Sciences, 6th International Conference, MACIS 2015, Berlin, Germany, November 11-13, 2015, volume 9582 of Springer LNCS. Springer Berlin-Heidelberg-NewYork, 2015. (doi:10.1007/978-3-319-32859-1_50)
- V. Sharma and P. Batra. Near Optimal Subdivision Algorithms for Real Root Isolation. In Proceedings of the 2015 International Symposium on Symbolic and Algebraic Computation, pages 331–338. ACM New York, NY, USA, 2015. (doi:10.1145/2755996.2756656)
- P. Batra. Deriving inequalities in the Laguerre-Polya class from properties of half-plane mappings, volume 161 of International Series of Numerical Mathematics, pages 67–86. Birkhäuser, Basel, 2012. (doi:10.1007/978-3-0348-0249-9_5)
- P. Batra. A family of necessary stability inequalities via quadratic forms. Mathematical Inequalities & Applications, 14(2):313–321, 2011. (doi:10.7153/mia-14-25)
- P. Batra. Globally convergent, iterative path-following for algebraic equations. Mathematics in Computer Science, 4(4):507–537, 2010. (doi:10.1007/s11786-011-0069-2)
- P. Batra and V. Sharma. Bounds on absolute positiveness of multivariate polynomials. Journal of Symbolic Computation, 45(6):617–628, 2010. (doi:10.1016/j.jsc.2010.01.012)
- P. Batra. Newton's method and the computational complexity of the fundamental theorem of algebra. In Proc. of the Fourth International Conference on Computability and Complexity in Analysis (CCA 2007), volume 202 of Electronic Notes in Theoretical Computer Science (ENTCS), pages 201–218. Elsevier Ltd., 2008. (doi:10.1016/j.entcs.2008.03.016)
- P. Batra. On Goldberg's constant A2. Computational Methods and Function Theory, 7:33–41, 2007. (PDF) (doi:10.1007/BF03321629)
- P. Batra. Necessary stability conditions for differential-difference systems. PAMM 12/2006, 6(1):617–618, 2006.
- P. Batra. On upper bounds for proportional stabilizing controllers. ZAMM, 86:78–84, 2006. (doi:10.1002/zamm.200410228)
- P. Batra. Some Applications of Complex Analysis to Questions of Stability and Stabilizability. Habilitationsschrift, Technische Universität Hamburg-Harburg, 2006. (hdl.handle.net/11420/8863)
- P. Batra. Subordination and stabilization of plant families. In Proc. IFAC Symposium Robust Control New Developments '06 - Toulouse, 2006. (PDF) (doi:10.3182/20060705-3-fr-2907.00034)
- P. Batra. Value-restricted functions and robust control requirements. GAMM, Luxemburg, 2005. (hdl.handle.net/11420/8684)
- P. Batra. A property of the nearly optimal root-bound. Journal of Computational and Applied Mathematics, 167(2):489–491, 2004. (doi:10.1016/j.cam.2003.10.019)
- P. Batra. Bound for all coefficient diameters of real Schur-stable interval polynomials. IEEE Transactions on Automatic Control, 49(10):1851–1852, 2004. (doi:10.1109/TAC.2004.835590)
- P. Batra. On Small Circles Containing the Zeros and Ones of Analytic Functions. Complex Variables: Theory and Applications, 49(11):787–791, 2004. (doi:10.1080/02781070412331298615)
- P. Batra. Real interpolating units via positive functions. In Proc. MTNS 2004, LEUWEN, BELGIUM, 2004. (hdl.handle.net/11420/8938)
- P. Batra. On coefficient diameters of real Schur-stable interval polynomials. In Proc. IFAC Symposium Robust Control New Developments '03 - Milano, Junio, 25-27, Robust Control Design 2003, pages 259–262. Elsevier Ltd., 2003. (PDF) (doi:10.1016/S1474-6670(17)35673-2)
- P. Batra. On necessary conditions for real robust Schur-stability. IEEE Transactions on Automatic Control, 48(2):259–261, 2003. (doi:10.1109/TAC.2002.808471)
- P. Batra. On upper bounds for real proportional stabilising controllers. In Proc. ECC '03, European Control Conference '03 – Cambridge, 2003. (PDF) (hdl.handle.net/11420/8723)
- P. Batra. Simultaneous Point Estimates for Newton's Method. BIT Numerical Mathematics, 42(3):467–476, 2002. (PDF) (hdl.handle.net/11420/8918)
- P. Batra. Abschätzungen und Iterationsverfahren für Polynom-Nullstellen. Dissertation, Technische Informatik III, TU Hamburg-Harburg, 1999.
- P. Batra. Improvement of a convergence condition for the Durand-Kerner iteration. J. Comput. Appl. Math. (JCAM), 96:117–125, 1998. (doi:10.1016/S0377-0427(98)00109-5)
- P. Batra. Hilberts Satz 90 für K2. Master's thesis, Universität Hamburg, 1994.