Dr. Niranjan Bora

Assistant Professor, Dibrugarh University Institute of Engineering and Technology (DUIET)
  • Phone No. - 8011197710
  • Dibrugarh University Institute of Engineering and Technology (DUIET)
  • Designation - Assistant Professor

Profile

Educational Qualifications:

Pd. D., in Mathematics,

Dibrugarh University, Assam.

Thesis title: Study of Certain Aspects of Multiparameter Matrix Eigenvalue Problems.

Supervisor: Prof. A. K. Baruah

M. Sc., in Mathematics

Gauhati University, Guwahati, Assam.

B.Sc., Major in Mathematics,

Jagannath Barooah College, Jorhat, Assam.

 

Area of interest:

 

Numerical Linear Algebra, Multiparameter Matrix Eigenvalue Problem, Graph Coloring.

 

Member of Professional Bodies:

 

1.      Assam Academy of Mathematics (AAM)

2.      International Association of Engineers (IAENG)

 

Contact:

Phone: +91-8011197710 (M);  0373-2370774 (O)

E-mail: niranjanbora11[at]gmail[dot]com ;   niranjanbora[at]dibru[]dot]ac[dot]in 

Research Guidance:

(a) Ph.D.

Sl.No.

Name

Title of the thesis

Year

Status

1

Rubul Moran

On Certain Aspects of T-Coloring and ST-Coloring of Graphs

 

Ongoing

(b) M.Phil.

Sl.No.

Name

Title of the dissertation

Year

Status

1

Bikash Chutia

On the spectral Analysis of Algebraic Multiparameter Eigenvalue Problems

2021

Ongoing

Publications

  1. Niranjan Bora, Bikash Chutia, Rubul Moran and Mukul Chandra Bora, On nonlineatization of 3-parameter eigenvalue problems to appear in Communications in Mathematics and Applications.
  2. Rubul Moran, Niranjan Bora, Aditya Pegu, and Monjit Chamua, Some results on T-coloring and ST-coloring of generalized butterfly graphs' Advances and Applications in Discrete Mathematics 31 1-12, 2022. http://dx.doi.org/10.17654/0974165822022

  3. Niranjan Bora, Bikash Chutia, Rubul Moran, and Aditya Pegu, A Note on Bifurcation Points of Two-parameter Matrix Eigenvalue Problems, Advanced Mathematical Models & Applications 7(1) 69-75, 2022. http://jomardpublishing.com/UploadFiles/Files/journals/AMMAV1N1/V7N1/Bora_et_al.pdf
  4. Niranjan Bora, Applications of Multiparameter Eigenvalue Problems, Nepal Journal of Science and Technology 19(2) 75-82, 2021. 

     

    https://doi.org/10.3126/njst.v20i1.39434
  5. Niranjan Bora, Computation of Generalized Antieigenvalue pair of Right Definite two-parameter eigenvalue problems, Journal of Scientific research 65(5) 208-211, 2021.
  6. Rubul Moran, Niranjan Bora, A. K. Baruah and Ankur Bharali, ST-coloring of some products of Graphs, Journal of Mathematical and Computational Science 11(1) 337-347, 2021. https://doi.org/10.28919/jmcs/5099
  7. Rubul Moran, Niranjan Bora, A. K. Baruah and Ankur Bharali, ST-Coloring of join and disjoint union of Graphs, Advances in Mathematics: Scientific Journal 9 (11) 9393-9399, 2020. https://doi.org/10.37418/amsj.9.11.44
  8. Niranjan Bora, On numerical range and numerical radius of a special pair operator matrices, Advances in Mathematics: Scientific Journal 9(7) 4313-4319, 2020. 
  9. Niranjan Bora, On generalized antieigenvalue pair and antieigenvectors of linear two-parameter matrix eigenvalue problems, International Journal of Applied Mathematics and Statistics 59 (3) 93-101, 2020.
  10.  Niranjan Bora and A. K. Baruah, Iterative algorithm to find the solution of Multiparameter matrix eigenvalue problem, Global Journal of Pure and Applied Mathematics 13(9) 4959-4967, 2017.
  11. Niranjan Bora and A. K. Baruah, Numerical study of three-parameter matrix eigenvalue problem by Gradient Method, International Journal of Pure and Applied Mathematics 112 (1) 125-135, 2017.
  12. Niranjan Bora and A. K. Baruah, On convergence of Newton's Method for three-parameter matrix eigenvalue problem, Far East Journal of Applied mathematics 94(1) 63-76, 2016.
  13. Niranjan Bora and A. K. Baruah, A Numerical approach to solve three-parameter Matrix Eigenvalue problem by Kronecker Product Method, International Journal of Computer Applications 103(3) 56-61, 2014. 

Book Chapters:

  1. Computation of partial derivative of matrix determinant arises in Multiparameter Eigenvalue Problems, Theory and Applications of Mathematical Science Vol-1, Book Publisher International (Print ISBN:978-93-89562-12-5, E ISBN: 978-93-89562-13-2).
  2. Linearization of Certain Special System of Cubic Matrix Polynomials, Mathstatika Vol.1, 2020, pp. 126-133, Department of Mathematical Sciences, Madhabed University, Assam.

Conferences/Seminar paper presented:

  1. Presented a paper entitled "An upper bound of Generalized antieigenvalue of Multiparameter eigenvalue problems" in the National Conference on Recent Advancements and Emerging Challenges in Science and Technology for Sustainable Development (RESTS-2020) organised by DUIET, Dibrugarh University.
  2. Presented a paper entitled "Upper bounds of numerical range and numerical radius of operator matrices involved in two-parameter eigenvalue problems" in the International Conference on Mathematical Modelling in Applied Sciences (ICMMAS2020) organized by Department of Mathematics, Dibrugarh University, Assam, India during June 28-30, 2020.
  3. Presented a paper entitled "On generalised antieigenvalue of right definite linear multiparameter matrix eigenvalue problems"  in National Conference on Emerging Trends in Advanced Mathematical Sciences & its Interdisciplinary Areas organised by Department of Mathematical Sciences, Bodoland University, Kokrajhar, Assam, 21-22 February, 2020.
  4. Presented a paper entitled "Study of Spectrum of Multiparameter Spectral Problems" in International Conference on linear Algebra and its Applications organised by Department of Statistics, Manipal University, Manipal, Karnataka from 11-15, December, 2017.
  5. Presented a paper entitled "Numerical study of three-parameter matrix eigenvalue problem by Rayleigh Quotient Method" in 2nd International Conference on Mathematical Science and Statistics (ICMSS2016) organised by Department of Mathematics, Faculty of Science, Universiti Putra Malaysia at Kuala Lumpur, Malaysia, 26-28 January, 2016.
  6. Presented a paper entitled "A Numerical treatment to solve three-parameter eigenvalue problemsin RTMA-2013, Digboi College (Assam), October 7-8, 2013.
  7. Presented a paper entitled "Numerical study of certain two-parameter spectral problem in matrix equations" in National Conference on Trends in Mathematical Research organised by Dept. of Mathematics, Assam University, Silchar, Sept. 5-6, 2014.

Workshop/Conference organised:

  1. One-Week Short Term Course on "Linear Algebra and its Applications in Engineering Sciences (LAAES 2019)" from August 12-16, 2019 under TEQIP-III project.

Orientation/ Refresher course/ Workshop Attended:

  1. 83rd Orientation Course, organised by UGC Academic Staff College, University of Hyderabad, Hyderabad from June 28-July 25, 2013.
  2. Refresher Course in Mathematics organised by UGC Academic Staff Collage, University of North Bengal, from January 08-28, 2014.
  3. Pedagogical Training for Mathematics Teachers-2014 (PTMT-2014) founded by National Board of Higher Mathematics, Dept. of Atomic Energy, GoI at the Dept. of Mathematics, Tripura University, Agartala (1 -4, Dec 2014 )
  4. Short time training programme on "Research Methodology in Technical Education" organised by National Institute of Technical Teacher's Training and Research, Kolkata at D.U.I.E.T form 16-28 February, 2015.
  5. TEQIP Short Term Course on “ Scientific computing and industrial problems” organised by Department of Mathematics, IIT Kharagpur from Nov 19-23, 2018.

Awards

  1. Awarded Ghanakanta Borah  Memorial prize for securing highest marks in mathematics Major in Degree Examination by J.B. College, Jorhat.

 

Courses Taken

  1. Linear Algebra
  2. Complex Analysis
  3. Discrete Mathematics
  4. Differential Equations
Profile

Profile

Educational Qualifications:

Pd. D., in Mathematics,

Dibrugarh University, Assam.

Thesis title: Study of Certain Aspects of Multiparameter Matrix Eigenvalue Problems.

Supervisor: Prof. A. K. Baruah

M. Sc., in Mathematics

Gauhati University, Guwahati, Assam.

B.Sc., Major in Mathematics,

Jagannath Barooah College, Jorhat, Assam.

 

Area of interest:

 

Numerical Linear Algebra, Multiparameter Matrix Eigenvalue Problem, Graph Coloring.

 

Member of Professional Bodies:

 

1.      Assam Academy of Mathematics (AAM)

2.      International Association of Engineers (IAENG)

 

Contact:

Phone: +91-8011197710 (M);  0373-2370774 (O)

E-mail: niranjanbora11[at]gmail[dot]com ;   niranjanbora[at]dibru[]dot]ac[dot]in 

Research Guidance:

(a) Ph.D.

Sl.No.

Name

Title of the thesis

Year

Status

1

Rubul Moran

On Certain Aspects of T-Coloring and ST-Coloring of Graphs

 

Ongoing

(b) M.Phil.

Sl.No.

Name

Title of the dissertation

Year

Status

1

Bikash Chutia

On the spectral Analysis of Algebraic Multiparameter Eigenvalue Problems

2021

Ongoing

Publications

Publications

 

  1. Niranjan Bora, Bikash Chutia, Rubul Moran and Mukul Chandra Bora, On nonlineatization of 3-parameter eigenvalue problems to appear in Communications in Mathematics and Applications.
  2. Rubul Moran, Niranjan Bora, Aditya Pegu, and Monjit Chamua, Some results on T-coloring and ST-coloring of generalized butterfly graphs' Advances and Applications in Discrete Mathematics 31 1-12, 2022. http://dx.doi.org/10.17654/0974165822022

  3. Niranjan Bora, Bikash Chutia, Rubul Moran, and Aditya Pegu, A Note on Bifurcation Points of Two-parameter Matrix Eigenvalue Problems, Advanced Mathematical Models & Applications 7(1) 69-75, 2022. http://jomardpublishing.com/UploadFiles/Files/journals/AMMAV1N1/V7N1/Bora_et_al.pdf
  4. Niranjan Bora, Applications of Multiparameter Eigenvalue Problems, Nepal Journal of Science and Technology 19(2) 75-82, 2021. 

     

    https://doi.org/10.3126/njst.v20i1.39434
  5. Niranjan Bora, Computation of Generalized Antieigenvalue pair of Right Definite two-parameter eigenvalue problems, Journal of Scientific research 65(5) 208-211, 2021.
  6. Rubul Moran, Niranjan Bora, A. K. Baruah and Ankur Bharali, ST-coloring of some products of Graphs, Journal of Mathematical and Computational Science 11(1) 337-347, 2021. https://doi.org/10.28919/jmcs/5099
  7. Rubul Moran, Niranjan Bora, A. K. Baruah and Ankur Bharali, ST-Coloring of join and disjoint union of Graphs, Advances in Mathematics: Scientific Journal 9 (11) 9393-9399, 2020. https://doi.org/10.37418/amsj.9.11.44
  8. Niranjan Bora, On numerical range and numerical radius of a special pair operator matrices, Advances in Mathematics: Scientific Journal 9(7) 4313-4319, 2020. 
  9. Niranjan Bora, On generalized antieigenvalue pair and antieigenvectors of linear two-parameter matrix eigenvalue problems, International Journal of Applied Mathematics and Statistics 59 (3) 93-101, 2020.
  10.  Niranjan Bora and A. K. Baruah, Iterative algorithm to find the solution of Multiparameter matrix eigenvalue problem, Global Journal of Pure and Applied Mathematics 13(9) 4959-4967, 2017.
  11. Niranjan Bora and A. K. Baruah, Numerical study of three-parameter matrix eigenvalue problem by Gradient Method, International Journal of Pure and Applied Mathematics 112 (1) 125-135, 2017.
  12. Niranjan Bora and A. K. Baruah, On convergence of Newton's Method for three-parameter matrix eigenvalue problem, Far East Journal of Applied mathematics 94(1) 63-76, 2016.
  13. Niranjan Bora and A. K. Baruah, A Numerical approach to solve three-parameter Matrix Eigenvalue problem by Kronecker Product Method, International Journal of Computer Applications 103(3) 56-61, 2014. 

Book Chapters:

  1. Computation of partial derivative of matrix determinant arises in Multiparameter Eigenvalue Problems, Theory and Applications of Mathematical Science Vol-1, Book Publisher International (Print ISBN:978-93-89562-12-5, E ISBN: 978-93-89562-13-2).
  2. Linearization of Certain Special System of Cubic Matrix Polynomials, Mathstatika Vol.1, 2020, pp. 126-133, Department of Mathematical Sciences, Madhabed University, Assam.

Conferences/Seminar paper presented:

  1. Presented a paper entitled "An upper bound of Generalized antieigenvalue of Multiparameter eigenvalue problems" in the National Conference on Recent Advancements and Emerging Challenges in Science and Technology for Sustainable Development (RESTS-2020) organised by DUIET, Dibrugarh University.
  2. Presented a paper entitled "Upper bounds of numerical range and numerical radius of operator matrices involved in two-parameter eigenvalue problems" in the International Conference on Mathematical Modelling in Applied Sciences (ICMMAS2020) organized by Department of Mathematics, Dibrugarh University, Assam, India during June 28-30, 2020.
  3. Presented a paper entitled "On generalised antieigenvalue of right definite linear multiparameter matrix eigenvalue problems"  in National Conference on Emerging Trends in Advanced Mathematical Sciences & its Interdisciplinary Areas organised by Department of Mathematical Sciences, Bodoland University, Kokrajhar, Assam, 21-22 February, 2020.
  4. Presented a paper entitled "Study of Spectrum of Multiparameter Spectral Problems" in International Conference on linear Algebra and its Applications organised by Department of Statistics, Manipal University, Manipal, Karnataka from 11-15, December, 2017.
  5. Presented a paper entitled "Numerical study of three-parameter matrix eigenvalue problem by Rayleigh Quotient Method" in 2nd International Conference on Mathematical Science and Statistics (ICMSS2016) organised by Department of Mathematics, Faculty of Science, Universiti Putra Malaysia at Kuala Lumpur, Malaysia, 26-28 January, 2016.
  6. Presented a paper entitled "A Numerical treatment to solve three-parameter eigenvalue problemsin RTMA-2013, Digboi College (Assam), October 7-8, 2013.
  7. Presented a paper entitled "Numerical study of certain two-parameter spectral problem in matrix equations" in National Conference on Trends in Mathematical Research organised by Dept. of Mathematics, Assam University, Silchar, Sept. 5-6, 2014.

Workshop/Conference organised:

  1. One-Week Short Term Course on "Linear Algebra and its Applications in Engineering Sciences (LAAES 2019)" from August 12-16, 2019 under TEQIP-III project.

Orientation/ Refresher course/ Workshop Attended:

  1. 83rd Orientation Course, organised by UGC Academic Staff College, University of Hyderabad, Hyderabad from June 28-July 25, 2013.
  2. Refresher Course in Mathematics organised by UGC Academic Staff Collage, University of North Bengal, from January 08-28, 2014.
  3. Pedagogical Training for Mathematics Teachers-2014 (PTMT-2014) founded by National Board of Higher Mathematics, Dept. of Atomic Energy, GoI at the Dept. of Mathematics, Tripura University, Agartala (1 -4, Dec 2014 )
  4. Short time training programme on "Research Methodology in Technical Education" organised by National Institute of Technical Teacher's Training and Research, Kolkata at D.U.I.E.T form 16-28 February, 2015.
  5. TEQIP Short Term Course on “ Scientific computing and industrial problems” organised by Department of Mathematics, IIT Kharagpur from Nov 19-23, 2018.

Awards

  1. Awarded Ghanakanta Borah  Memorial prize for securing highest marks in mathematics Major in Degree Examination by J.B. College, Jorhat.

 

Courses Taken
Current Courses
Sponsored Projects