2024

• Complexity of a root clustering algorithm for holomorphic functions
  Batra, Prashant; Sharma, Vikram
  Theoretical Computer Science 999: 114504 (2024)
  Publisher DOI

2019

• Addendum to “Estimates of the determinant of a perturbed identity matrix” [Linear Algebra Appl. 558 (2018) 101–107]
  Rump, Siegfried M.; Batra, Prashant
  Linear algebra and its applications (565): 309-312 (2019)
  Publisher DOI

2018

• On Fibonacci-type polynomial recurrences of order two and the accumulation points of their set of zeros
  Batra, Prashant
  Annales Mathematicae et Informaticae (49): 33-41 (2018)
  Publisher DOI

2017

• Near optimal subdivision algorithms for real root isolation
  Batra, Prashant; Sharma, Vikram
  Journal of Symbolic Computation (83): 4-35 (2017-11)
  Publisher DOI
• Improvements of Lagrange's bound for polynomial roots
  Batra, Prashant; Mignotte, Maurice; Ştefănescu, Doru
  Journal of Symbolic Computation (82): 19-25 (2017-09-01)
  Publisher DOI
• Componentwise products of totally non-negative matrices generated by functions in the Laguerre–Pólya class
  Batra, Prashant
  Bebiano N. (eds) Applied and Computational Matrix Analysis. MAT-TRIAD 2015. Springer Proceedings in Mathematics & Statistics, vol 192. Springer, Cham: 151-163 (2017)
  Publisher DOI

2016

• On the quality of some root-bounds
  Batra, Prashant
  Lecture Notes in Computer Science (9582): 591-595 (2016)
  Publisher DOI

2015

• Near optimal subdivision algorithms for real root isolation
  Sharma, Vikram; Batra, Prashant
  Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC (2015): 331-338 (2015-06-24)
  Publisher DOI

2012

• Deriving inequalities in the laguerre-pólya class from properties of half-plane mappings
  Batra, Prashant
  International Series of Numerical Mathematics (161): 67-86 (2012)
  Publisher DOI

2011

• A family of necessary stability inequalities via quadratic forms
  Batra, Prashant
  Mathematical Inequalities and Applications 2 (14): 313-321 (2011)
  Publisher DOI

2010

• Globally convergent, iterative path-following for algebraic equations
  Batra, Prashant
  Mathematics in Computer Science 4 (4): 507-537 (2010-12-01)
  Publisher DOI
• Bounds on absolute positiveness of multivariate polynomials
  Batra, Prashant; Sharma, Vikram
  Journal of Symbolic Computation 6 (45): 617-628 (2010)
  Publisher DOI

2008

• Newton's method and the computational complexity of the fundamental theorem of algebra
  Batra, Prashant
  Electronic Notes in Theoretical Computer Science (202): 201-218 (2008)
  Open Access | Publisher DOI

2007

• Necessary stability conditions for differential-difference systems
  Batra, Prashant
   PAMM 12/2006, 6(1):617–618 (2006)
  Publisher DOI
• On Goldberg's constant A2
  Batra, Prashant
  Publisher DOI

2006

• Subordination and stabilization of plant families
  Batra, Prashant
  IFAC Proceedings Volumes (IFAC-PapersOnline) 9 (39): 191-196 (2006)
  Publisher DOI
• Some applications of complex analysis to questions of stability and stabilizability
  Batra, Prashant
  Habilitation - Technische Universität Hamburg-Harburg
  

2005

• On upper bounds for real proportional stabilizing controllers
  Batra, Prashant
  ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik 86 (1): 78-84 (2006)
  Publisher DOI
• Value-restricted functions for robust and simultaneous stability
  Batra, Prashant
  GAMM 2005 / Gesellschaft für Angewandte Mathematik und Mechanik Abstracts part 1: 77-78 (2005)
  

2004

• Bound for all coefficient diameters of real Schur-stable interval polynomials
  Batra, Prashant
  IEEE Transactions on Automatic Control 49 (10): 1851-1852 (2004-10-01)
  Publisher DOI
• A property of the nearly optimal root-bound
  Batra, Prashant
  Journal of Computational and Applied Mathematics 2 (167): 489-491 (2004-06-01)
  Publisher DOI
• On small circles containing zeros and ones of analytic functions
  Batra, Prashant
  Complex Variables, Theory and Application: An International Journal 49 (11): 787-791 (2006)
  Publisher DOI
• On small circles containing zeros and ones of analytic functions
  Batra, Prashant
  Berichte des Forschungsschwerpunktes Informations- und Kommunikationstechnik 04.2: (2004)
  
• Real interpolating units via positive functions
  Batra, Prashant
  Sixteenth International Symposium on Mathematical Theory of Networks and Systems (MTNS2004)
  

2003

• On necessary conditions for real robust Schur-stability
  Batra, Prashant
  IEEE Transactions on Automatic Control 48 (2): 259-261 (2003-02-01)
  Publisher DOI
• On coefficient diameters of real schur-stable interval polynomials
  Batra, Prashant
  IFAC Proceedings Volumes (IFAC-PapersOnline) 11 (36): 259-262 (2003)
  Publisher DOI
• On upper bounds for real proportional stabilising controllers
  Batra, Prashant
  European Control Conference, ECC 2003: 93-97 (2003)
  

2002

• Simultaneous point estimates for Newton's method
  Batra, Prashant
  BIT Numerical Mathematics 42 (3): 467-476 (2002-09-01)
  

2001

• Omitted values and real robust schur stability
  Batra, Prashant
  Berichte des Forschungsschwerpunktes Informations- und Kommunikationstechnik 01.3: (2001)
  

1999

• Abschätzungen und Iterationsverfahren für Polynom-Nullstellen
  Batra, Prashant
  

1998

• Improvement of a convergence condition for the Durand-Kerner iteration
  Batra, Prashant
  Journal of Computational and Applied Mathematics 96 (2): 117-125 (1998)
  Publisher DOI