Generalized Inverse, Moore-Penrose Inverse
Matrix functions, Matrix Sign functions
Outer Inverses
Stability Analysis, Dynamical Analysis
Numerical solutions of nonlinear equations and systems of nonlinear equations
Himani Sharma, Munish Kansal (2024). Stability analysis and dynamical behavior of optimal mean-based iterative methods. J. Math. Chem. (Springer), 1-23. DOI: 10.1007/s10910-024-01674-w
Pallvi Sharma, and Munish Kansal (2024): An efficient iterative method for matrix sign function with application in stability analysis of control systems using spectrum splitting. Math. Meth. Appl. Sci. (WILEY). DOI: 10.1002/mma.10077
Munish Kansal, Vanita Sharma, Pallvi Sharma, Lorentz J¨antschi (2024): A Globally Convergent Iterative Method for Matrix Sign Function and Its Application for Determining the Eigenvalues of a Matrix Pencil. Symmetry (MDPI), 16(4), 481 (SCIE). DOI: /10.3390/sym16040481
Himani Sharma, Ramandeep Behl, Munish Kansal, Higinio Ramos (2024): A robust iterative family for multiple roots of nonlinear equations: Enhancing accuracy and handling critical points. J. Comput. Appl. Math. (Elsevier), 444, 115795 (SCIE). DOI: 10.1016/j.cam.2024.1 15795 (I.F. - 2.4)
Pallvi Sharma, Munish Kansal (2024): Extraction of deflating subspaces using disk function of a matrix pencil via matrix sign function with application in generalized eigenvalue problem. J. Comput. Appl. Math. (Elsevier), 442, 115730 (SCIE). DOI: 10.1016/j.cam.2023.115730 (I.F. - 2.4)
Munish Kansal, Himani Sharma (2023): Analysis of optimal iterative methods from a dynamical point of view by studying their stability properties. J. Math. Chem. (Springer), 62, 198–221 (SCIE). DOI: 10.1007/s10910-023-01523-2 (I.F. - 1.7)
Munish Kansal, Litika Rani (2023): An adaptive Steffensen-like families for solving nonlinear systems using frozen divided differences. J. Math. Chem. (Springer), 62, 109–144 (SCIE). DOI: 10.1007/s109 10-023-01524-1 (I.F. - 1.7)
Munish Kansal, Manpreet Kaur, Litika Rani, Lorentz J¨antschi (2023): A cubic class of iterative procedures for finding the generalized inverses. Mathematics (MDPI), 11(13), 3031 (SCIE), DOI: 10.3390/math11133031 (I.F. - 2.1)
Himani Sharma, Munish Kansal, Ramandeep Behl (2023): An Efficient optimal derivative-free fourth-order method and its memory variant for non-linear models and their dynamics. Math. Comput. Appl. (MDPI), 28(2), 42. DOI: 10.3390/mca28020048
Munish Kansal, Litika Rani (2023): Globally convergent iterative scheme for computing matrix sign function with numerical stability. Math. Methods Appl. Sci. (Wiley), 1–15 (SCIE). DOI: 10.1002/mma.9212 (I.F. - 2.9)
Himani Sharma, Munish Kansal (2023): A modified Chebyshev-Halley type iterative family with memory for solving nonlinear equations and its stability analysis. Math. Methods Appl. Sci. (Wiley), 46, 12549–12569 (SCIE). DOI: 10.1002/mma.9197 (I.F. - 2.9)
Litika Rani, Munish Kansal (2023): Numerically stable iterative methods for computing matrix sign function. Math. Methods Appl. Sci. (Wiley), 46, 8596–8617 (SCIE). DOI: 10.1002/mma.9004 (I.F. - 2.9) ○
Himani Sharma, Munish Kansal, Ramandeep Behl (2022): An Efficient two-step iterative family adaptive with memory for solving nonlinear equations and their applications. Math. Comput. Appl. (MDPI), 27(6), 97. DOI: 10.3390/mca27060097
Litika Rani, Fazlollah Soleymani, Munish Kansal, Hemant Kumar Nashine (2022): An optimized Chebyshev-Halley type family of multiple solvers: Extensive analysis and applications. Math. Methods Appl. Sci. (Wiley), 2022, 1–19 (SCIE). DOI: 10.1002/mma.8699 (I.F. - 2.9) ○
Munish Kansal, Sanjeev Kumar, Manpreet Kaur (2022): An efficient matrix iteration family for finding the generalized outer inverse. Appl. Math. Comput. (Elsevier), 430, 127292 (SCIE). DOI: 10.1016/j.amc.2022.127292 (I.F. - 4)
Litika Rani, Munish Kansal (2022): An optimal derivative-free King’s family for multiple zeros and its dynamics. Eng. Comput. (Emerald), 39(6), 2367–2390 (SCIE). DOI: 10.1108/EC-08- 2021-0449 (I.F. - 1.67)
Manpreet Kaur, Sanjeev Kumar, Munish Kansal (2021): New derivative-free iterative family having optimal convergence order sixteen and its applications. Eng. Comput. (Emerald), 39(3), 965–992 (SCIE). DOI: 10.1108/EC-03-2021-0155 (I.F. - 1.67)
Munish Kansal, Alicia Cordero, Sonia Bhalla, Juan R. Torregrosa (2021): New fourth-and sixthorder classes of iterative methods for solving systems of nonlinear equations and their stability analysis. Numer. Algorithms (Springer) 87(3), 1017–1060 (SCIE). DOI: 10.1007/s11075-020- 00997-4 (I.F. - 2.1)
Raj Bala, Munish Kansal, Vinay Kanwar (2021): An optimal class of fourth-order multiple root finders of Chebyshev-Halley type and their basins of attraction. Int. J. Comput. Sci. Math. (InderScience), 14(1), 17–35 (SCOPUS). DOI: 10.1504/IJCSM.2021.118074
Manpreet Kaur, Munish Kansal, Sanjeev Kumar (2021): An efficient matrix iterative method for computing Moore–Penrose inverse. Mediterr. J. Math. (Springer), 18(2), 1–21 (SCIE). DOI: 10.1007/s00009-020-01675-4 (I.F. - 1.1)
Munish Kansal, Alicia Cordero, Sonia Bhalla, Juan R. Torregrosa (2020): Memory in a new variant of King’s family for solving nonlinear systems. Mathematics (MDPI), 8(8), 1251 (SCIE). DOI: 10.3390/math8081251 (I.F. - 2.1) ○
Munish Kansal, Alicia Cordero, Juan R. Torregrosa, Sonia Bhalla (2020): A stable class of modified Newton-like methods for multiple roots and their dynamics. Int. J. Nonlinear Sci. Numer. Simul. (De Gruyter), 21(6), 603–621 (SCIE). DOI: 10.1515/ijnsns-2018-0347 (I.F. - 1.5)
Manpreet Kaur, Munish Kansal (2020): An efficient class of iterative methods for computing generalized outer inverse M (2) (T,S) . J. Appl. Math. Comput. (Springer), 64(1), 709–736 (SCIE). DOI: 10.1007/s12190- 020-01375-y (I.F. - 2.2)
Munish Kansal, Ali Saleh Alshomrani, Sonia Bhalla, Ramandeep Behl, Mehdi Salimi (2020): One parameter optimal derivative-free family to find the multiple roots of algebraic nonlinear equations. Mathematics (MDPI), 8(12), 2223 (SCIE). DOI: 10.3390/math8122223 (I.F. - 2.1)
Ramandeep Behl, Munish Kansal, Mehdi Salimi (2020): Modified King’s family for multiple zeros of scalar nonlinear functions. Mathematics (MDPI) 8(5), 827 (SCIE). DOI: 10.3390/math80 50827 (I.F. - 2.1)
Ioannis K. Argyros, Munish Kansal, V. Kanwar (2020): Ball convergence for a three-point method with optimal convergence order eight under weak conditions. Asian-Eur. J. Math. (World Scientific), 13(2), 2050048 (MathSciNET) (Reviewed by American Mathematical Society). DOI: 10.1142/S 17 93557120500485
Manpreet Kaur, Munish Kansal, Sanjeev Kumar (2020): An efficient hyperpower iterative method for computing weighted Moore–Penrose inverse. AIMS Math. (AIMS), 5(3), 1680–1692 (SCIE). DOI: 10.3934/math.2020113 (I.F. - 2.2)
Hessah Faihan Alqahtani, Ramandeep Behl, Munish Kansal (2019): Higher-order iteration schemes for solving nonlinear systems of equations. Mathematics (MDPI), 7(10), 937 (SCIE). DOI: 10.3390 /math7100937 (I.F. - 2.1)
R. A. Alharbey, Munish Kansal, Ramandeep Behl, J. A. Tenreiro Machado (2019): Efficient three-step class of eighth-order multiple root solvers and their dynamics. Symmetry (MDPI), 11(7), 837 (SCIE). DOI: 10.3390/sym11070837 (I.F. - 2.7)
Munish Kansal, Ramandeep Behl, Mohammed Ali A. Mahnashi, Fouad Othman Mallawi (2019): Modified optimal class of Newton-like fourth-order methods for multiple roots. Symmetry (MDPI), 11(4), 526 (SCIE). DOI: 10.3390/sym11040526 (I.F. - 2.7)
Ioannis K. Argyros, Munish Kansal, Vinay Kanwar (2018): Ball convergence for an Aitken-Newton method. J. Numer. Anal. Approx. Theory, 47(2), 114–123 (SCOPUS). DOI: 10.33993/j na at472-1082
Ioannis K. Argyros, Munish Kansal, Vinay Kanwar, Sugandha Bajaj (2017): Higher-order derivativefree families of Chebyshev-Halley type methods with or without memory for solving nonlinear equations. Appl. Math. Comput. (Elsevier), 315, 224–245 (SCIE). DOI: 10.1016/j.amc.2017. 07.051 (I.F. - 4)
Ioannis K. Argyros, Munish Kansal, V. Kanwar (2017): Ball convergence of a stable fourthorder family for solving nonlinear systems under weak conditions. Stud. Univ. Babes-Bolyai Math., 62 (1), 127–135 (MathSciNET) (Reviewed by American Mathematical Society). DOI: 10.24193/subbmath.2017.0010
Ioannis K. Argyros, Munish Kansal, V. Kanwar (2017): Ball convergence for two optimal eighthorder methods using only the first derivative. Int. J. Appl. Comput. Math. (Springer) 3(3), 2291–2301 (SCOPUS). DOI: 10.1007/s40819-016-0196-1
V. Kanwar, Raj Bala, Munish Kansal (2017): Some new weighted eighth-order variants of Steffen sen-King’s type family for solving nonlinear equations and its dynamics. SeMA (Springer), 74, 75–90 (MathSciNET). DOI: 10.1007/s40324-016-0081-1
Munish Kansal, V. Kanwar, Saurabh Bhatia (2016): Optimized mean based second derivative-free families of Chebyshev-Halley type methods. Numer. Anal. Appl. (Springer), 19(2), 167–181 (Reviewed by American Mathematical Society). DOI: 10.1134 /S199542391602004X
Ioannis K. Argyros, Munish Kansal, V. Kanwar (2016): On the local convergence of an eighth-order method for solving nonlinear equations. Annals of West University of Timisoara-Mathematics and Computer Science, 1, 3–16, (MathSciNET) (Reviewed by American Mathematical Society). DOI: 10.1515/awutm -2016-0001
Munish Kansal, V. Kanwar and Saurabh Bhatia (2016): Efficient derivative-free variants of Hansen Patrick’s family with memory for solving nonlinear equations. Numer. Algorithms (Springer), 73(4), 1017–1036 (SCIE). DOI: 10.1007/s11075-016-0127-6 (I.F. - 2.1)
Ioannis K. Argyros, Munish Kansal (2016): Unified local convergence for a certain family of methods in Banach space, SeMA (Springer), 73, 325–334. DOI: 10.1007/s40324-016-0071-3 (MathSciNET)
Ioannis K. Argyros, Munish Kansal, V. Kanwar (2016): Local convergence for multipoint methods using only the first derivative. SeMA (Springer) , 73, 369–378 (MathSciNET). DOI: 10.1007 /s40324- 016-0075-z
Alicia Cordero, Munish Kansal, V. Kanwar and Juan R. Torregrosa (2016): A stable class of improved second-derivative free Chebyshev-Halley type methods with optimal eighth order convergence. Numer. Algorithms (Springer), 72(4), 937–958 (SCIE). DOI: 10.1007/s11075-015- 0075-6 (I.F. - 2.1)
Ioannis K. Argyros, Munish Kansal, V. Kanwar (2016).: Ball convergence for Ostrowski-like method with accelerated eighth order convergence under weak conditions. Int. J. Adv. Math., 1, 17–25. DOI: https://api.semanticscholar.org/CorpusID:221990422
Ioannis K. Argyros, Munish Kansal, V. Kanwar (2016).: Ball convergence for two and three-point methods with memory based on Hermite interpolation. Int. J. Adv. Math., 1, 26–36. DOI: https://adv-math.com/ball-convergence
Munish Kansal, Vinay Kanwar and Saurabh Bhatia (2015): New modifications of Hansen -Patrick’s family with optimal fourth and eighth orders of convergence. Appl. Math. Comput. (Elsevier), 269, 507–519 (SCIE). DOI: 10.1016/j.amc.2015.07.101 (I.F. - 4)
Vinay Kanwar, Sanjeev Kumar, Munish Kansal, Arvind Garg (2015): Efficient families of Newton’s method and its variants suitable for non-convergent cases. Afr. Mat. (Springer), 27, 767–779 (MathSciNET). DOI: 10.1007/s13370-015-0376-x
Munish Kansal, Vinay Kanwar and S. Bhatia (2015): On some optimal multiple root-finding methods and their dynamics. Appl. Appl. Math., 10(1), 349–367 (MathSciNET) (Reviewed by American Mathematical Society). DOI: https://digitalcommons .pvamu.ed u/aam/vol10/iss1 /22/
Munish Kansal, Vinay Kanwar, Saurabh Bhatia (2015): An Optimal eighth-order derivative free family of Potra-Pt´ak’s Method. Algorithms (MDPI), 8(2), 309–320 (MathSciNET) (Reviewed by American Mathematical Society). DOI: 10.3390/a8020309
Vinay Kanwar, Saurabh Bhatia, Munish Kansal (2013): New optimal class of higher-order methods for multiple roots, permitting f ′ (xn) = 0. Appl. Math. Comput. (Elsevier), 222, 564–574 (SCIE). DOI: 10.1016/j.amc.2013.06.097. (I.F. - 4)
Ramandeep Behl, S.S. Motsa, Munish Kansal, V. Kanwar (2014): Fourth-order derivative-free optimal families of King’s and Ostrowski’s methods, Mathematical Analysis and its Applications, Springer Proceedings in Mathematics and Statistics. (Editors: P.N. Agarwal, R.N. Mohapatra, Uaday Singh, H.M. Srivastava), (Reviewed by American Mathematical Society)
Presented a paper entitled “A numerically stable iterative method for computing the matrix sign function with application in the generalized eigenvalue problem ” held on July 03-05, 2024, International Conference on Recent Advances in Applied Mathematics, IIT BHU, Varanasi.
Presented a paper entitled “Globally convergent iterative method for evaluating matrix sign function,” held on August 20-25, 2023, at the International Congress on Industrial and Applied Mathematics, Waseda University, Tokyo.
Attended “International Symposium on Applied Optimization and Game Theoretic Models for Decision Making” held on February 01-03, 2023, Indian Statistical Institute, Delhi Centre, New Delhi.
Presented a paper entitled “A general class of matrix iterative methods for computing generalized outer inverse” at the 23rd Punjab Science Congress on Emerging Trends in Science & Technology for Sustainable Development held on 7-9 February 2020 at Sant Longowal Institute of Engineering and Technology, Longowal, Sangrur.
Presented a paper entitled “ A general class of matrix iterative methods for computing generalized outer inverse” at the International Conference On Mathematical Analysis and its Applications (ICMAA) held on 14-16 December 2019 at South Asian University, New Delhi.
Presented a paper entitled “New fourth and sixth-order iterative schemes for solving systems of nonlinear equations and their applications” at the 2nd International Conference on Mathematical Modelling, Applied Analysis and Computation, held on 08-10 August 2019, at JECRC University, Jaipur.
Attended Conference on “Number Theory, Combinatorics and Special Functions” NTCSF & Symposium on Applied Mathematics and Engineering Applications, held in Thapar Institute of Engineering and Technology, Patiala, from 11-12 October 2019.
Presented a paper entitled “Efficient derivative-free with memory variants of King’s family for solving nonlinear equations” at the 2nd International Conference on Recent Advances in Engineering and Computational Sciences, held on Dec. 21–22, 2015, at UIET, Panjab University, Chandigarh and made an oral paper presentation.
Presented a paper entitled “A new optimal class of Steffensen type higher order methods and their basins of attractions ” at the 12th International Conference held on 30 January–01 February 2015 at Punjabi University, Patiala.
Presented a paper entitled “Fourth-order derivative free families of King’s and Ostrowski’s methods” at the International Conference (ICRTMAA-2014), organized by IIT-Roorkee from December 21-23, 2014.
Presented a paper entitled ”Optimized Mean based Second-Derivative free families of Chebyshev Halley type methods” at 8th Chandigarh Science Congress CHASCON-2014 from 26-28th Feb 2014.
Attended TEQIP-sponsored International conference on RAECES-2014 held in the University Institute of Engineering and Technology (UIET) during 6-8 March 2014.
Participated in “4th Chandigarh Science Congress (CHASCON 2010)” held on 19-20 March 2010, organized by Panjab University, Chandigarh, in association with UGC (PURSE GRANT).
Presented Poster on Fibonacci numbers and golden ratio in nature on National Mathematics Day held in the Department of Mathematics, Panjab University, Chandigarh on 10th April 2012.