Faculty Details | Department Of Mathematics

Research

Perturbation theory for linear operators. Structured perturbation theory for matrices. Nonlinear eigenvalue problems. Multiparameter eigenvalue problems.

Education

Ph.D., Department of Mathematics, Indian Institute of Technology Bombay, 1996
M.Sc., Department of Mathematics, Indian Institute of Technology Kharagpur, 1991

Experience

Work Experience:

September 2014 - till date : Professor (HAG)
May 2008 - September 2014 : Professor
February 2003- May 2008 : Associate Professor
January 1999 - February 2003 : Assistant Professor
January 1996 - January 1999 : Senior Lecturer

Administrative work experience:

Head, Department of Mathematics, IIT Guwahati, January 2000 - January 2001, and March 2006 - March 2009
Professor In-Charge, Alumni Affairs & External Relations, IIT Guwahati, October 2009 - August 2011

Research Visits:

Department of Mathematics, J.J. Strossmayer University of Osijek, Croatia, June 15 - July 15, 2017.
Institute for Mathematics, TU-Berlin, Germany, June 01-July 31, 2014
Institute for Mathematics, TU-Berlin, Germany, July 02-10, 2010
Seminar Applied Mathematics, ETH Zurich, Switzerland, June 20-27, 2010
Equipe d'Analyse Numerique, Universite Jean Monnet de Saint Etienne, France, June 10-30, 2007
Institute for Mathematics, TU-Berlin, Germany, January 2004
Visiting Faculty, Department of Mathematics, The University of Manchester, U. K., March 2003 - March 2004
Department of Mathematics, TU-Darmstdat, Germany, July 1999
Visiting Professor, Equipe d'Analyse Numerique, Universite Jean Monnet de Saint Etienne, France, June 01-30, 1997

Invited Talks:

Invited lecture at the International Conference on Mathematical Modeling and Scientific Computing held at IIT Indore, Indore, India, during July 19-21, 2018.
Invited lecture at the international Workshop cum Conference on Analysis and Applications held at IIT Madras, Chennai, India, during June 18-22, 2018.
Invited lecture at the International Conference on Linear Algebra and its Applications (ICLAA 2017) held at Manipal University, Manipal, India, during December 11 -15, 2017.
Invited lecture at the International Conference on Matrix and Functional Analysis held at Jalandhar, Inndia, during November 29 - December 02, 2017.
Mathematics colloquium lecture at the Department of Mathematics. J. J. Strossmayer University of Osijek, Croatia, June 01, 2017.
Mathematics colloquium lecture at the Department of Mathematics, University of Zagreb, Croatia, May 25, 2017.
Plenary lecture at the 10th International Workshop on Accurate Solutions of Eigenvalue Problems (IWASEP-10) held at Dubrovnik, Croatia, during June 02- 05, 2014
Invited to deliver a plenary lecture at the 9th International Workshop on Accurate Solutions of Eigenvalue Problems (IWASEP-9) held at Napa Valley, USA, during June 4-7, 2012
Invited lecture at the International conference on Combinatorial Matrix Theory and Generalized Inverses of Matrices held at Manipal University, India, during January 10-11, 2012
Plenary lecture at the 8th International Workshop on Accurate Solutions of Eigenvalue Problems (IWASEP-8) held at TU- Berlin, Germany, during June 28- July 01, 2010
Invited lecture at the ICM2010 satellite conference on Functional Analysis and Operator Theory held at ISI Bangalore, India, during August 8-11, 2010
Invited lectures at the International Workshop on Approximate Solutions of Operator Equations and Eigenvalue Problems held at IIT Bombay during February 25-29, 2008
Invited lecture at the 73rd Annual Conference of Indian Mathematical Society (IMS) held at Pune, India, during December 27-30, 2007
A series of lectures at the Mathematics Spring School held at Universite Jean monnet de Saint-Etienne, France, during June 11-16, 2007
Invited lecture at the International workshop on Structured Perturbations and Distance Problems in Matrix Computations held Bedlewo, Poland, during March 26-30, 2007

Courses

Semester: July-November, 2013

MA 101 Mathematics I (Linear Algebra, Calculus) 3-1-0-8

Semester: January-April, 2013

MA 102 Mathematics II (Multivariable Calculus) 3-1-0-8

Grades!

Semester: July-November, 2012

MA 211M Real Analysis 3-0-0-6

Courses taught:

MSc

Real Analysis
Complex Analysis
Functional Analysis
Linear Algebra
Numerical Linear Algebra
Calculus of Variations and Optimal Control

PhD

Functional Analysis
Real Analysis

B.Tech

Mathematics-I
Mathematics-II
Mathematics-III
Wavelets and Its Applications
Numerical Linear Algebra
Calculus of Variations and Optimal Control

Awards

Awards and Fellowships:

BOYSCAST Fellowship (2003) awarded by the DST, Govt. of India.
Visiting Fellow, TIFR, Bangalore, June 1994

Book Chapter

1. R. Alam, "Applied Linear Algebra, Probability and Statistics", On Nearest Matrix with Partially Specified Eigen-Structure , Springer , vol.Indian Statistical Institute Series, R. B. Bapat et al. (eds) (978-981-99-2309-0) ,pp.245-272 [2023]

Journal Publications

34. R. K. Das and R. Alam, "Structured strong linearizations of structured rational matrices", Linear and Lultilinear Algebra , vol.70 ,pp.6018-6051, [2022]

33. R. Alam and J. Ali, "Perturbation of discrete spectra of holomorphic operator-valued functions", The Journal of Analysis , vol.29 ,pp.551-569, [2021]

32. R. K. Das and R. Alam, "

Linearizations of palindromic matrix polynomials of odd degree obtained from Fiedler-like pencils

", Vietnam Journal of Mathematics , vol.48 ,pp.865-891, [2020]

31. R. Alam and S. S. Ahmad , "Sensitivity analysis of nonlinear eigenproblems", SIAM J. Matrix Anal. Appl., , vol.40 ,pp.672-695, [2019]

30. R. K. Das and R. Alam, "Affine spaces of strong linearizations for rational matrices and the recovery of eigenvectors and minimal bases", Linear Algebra and Its Application , vol.569 ,pp.335-368, [2019]

29. R. K. Das and R. Alam, "Automatic recovery of eigenvectors and minimal bases of matrix polynomials from generalized Fiedler pencils with repetition,", Linear Algebra and Its Application , vol.569 ,pp.78-112, [2019]

28. R. K. Das and R. Alam, "Recovery of minimal bases and minimal indices of rational matrices from FIedler-like pencils", Linear Algebra and Its Application , vol.566 ,pp.34-60, [2019]

27. A. Ghosh, R. Alam., "Sensitivity and backward perturbation analysis of multiparameter eigenvalue problems.", SIAM Journal on Matrix Analysis and Applications. , vol.39 (4) ,pp.1750-1775, [2018]

26. R. Alam, N. Behera., "Recovery of eigenvectors of rational matrix functions from Fiedler-like linearizations.", Linear Algebra Appl. , vol.510 ,pp.373-394, [2016]

25. R. Alam, N. Behera., "Linearizations for rational matrix functions and Rosenbrock system polynomials", SIAM J. Matrix Analysis Appl. , vol.37 ,pp.354-380, [2016]

24. B. Adhikari, R. Alam., "Structured Procrustes problem.", Linear Algebra Appl. , vol.490 ,pp.145-161, [2016]

23. R. Alam., "On the sensitivity analysis of eigenvalues", Electronic Journal of Linear Algebra , vol.29 ,pp.223-235, [2015]

22. S.S. Ahmad, R. Alam., "On Wilkinson's problem for matrix pencils.", Electronic J. Linear Algebra , vol.30 ,pp.632-648, [2015]

21. Rafikul Alam, B. Adhikari., "Structured mapping problem for linearly structured matrices", Linear Algebra Applications , vol.444 ,pp.132-145, [2014]

20. Rafikul Alam, B. Adhikari., "On backward errors of structured polynomial eigenproblems solved by structure preserving linearizations", Linear Algebra. Applications. , vol.434 ,pp.1989-2017, [2011]

19. Rafikul Alam, Shreemayee Bora, Ralph Byers, Michael L. Overton., "Characterization and construction of the nearest defective matrix via coalescence of pseudospectral components", Linear Algebra. Applications , vol.435 ,pp.494-513, [2011]

18. Rafikul Alam, B. Adhikari, D. Kressner. ., "Structured eigenvalue condition numbers and linearizations for matrix polynomials", Linear Algebra. Applications. :-. , vol.435 ,pp.2193-2221, [2011]

17. Rafikul Alam, Shreemayee Bora, Michael Karow, Volker Mehrmann, Julio Moro., "Perturbation theory for Hamiltonian matrices and the distances to bounded realness.", SIAM journal of Matrix Analysis and Applications , vol.32 (2) ,pp.484-514, [2011]

16. Rafikul Alam, S.S. Ahmad, R. Byers., "On pseudospectra, critical points and multiple eigenvalues of matrix pencils", SIAM J. Matrix Anal. Appl. , vol.31 ,pp.1915-1933, [2010]

15. Rafikul Alam, B. Adhikari., "Structured backward errors and pseudospectra of structured matrix pencils.", SIAM J. Matrix Anal. Appl.. , vol.31 ,pp.331-359, [2009]

14. Rafikul Alam, S.S. Ahmad., "Pseudospectra, critical points and multiple eigenvalues of matrix polynomials.", Linear Algebra. Applications. , vol.430 ,pp.1171-1195, [2008]

13. Rafikul Alam., "Wilkinson's problem revisited.", Journal of Analysis. , vol.4 ,pp.176-205, [2006]

12. Rafikul Alam., "On the construction of nearest defective matrices to a normal matrix.", Linear Algebra. Applications. , vol.395 ,pp.367-370, [2005]

11. Rafikul Alam, Shreemayee Bora., "On stable eigendecompositions of matrices.", SIAM Journal of Matrix Analysis Application. , vol.26 (3) ,pp.830-848, [2005]

10. Rafikul Alam, Shreemayee Bora., "On sensitivity of eigenvalues and eigendecompositions of matrices", . Linear Algebra Applications , vol.396 ,pp.273-301, [2005]

9. R. Alam., "On the construction of nearest defective matrices to a normal matrix.", Linear Algebra Applications. , vol.395 ,pp.367-370, [2005]

8. Rafikul Alam, Shreemayee Bora., "Stability of eigenvalues and spectral decompositions under linear perturbation.", Linear Algebra and its Applications. , vol.364 ,pp.189-211, [2003]

7. Rafikul Alam, Shreemayee Bora., "Effect of linear perturbation on spectra of matrices.", Linear Algebra. Applications. , vol.368 ,pp.329-342, [2003]

6. Rafikul Alam, R. P. Kulkarni, B. V. Limaye., "Accelerated spectral refinement. Part I Simple eigenvalue", . J. Austral. Maths. Soc. (Series B). , vol.41 ,pp.487-507, [2000]

5. Rafikul Alam, R. P. Kulkarni, B. V., "Limaye. spectral refinement. Part II Cluster of eigenvalues.", ANZIAM J , vol.42 ,pp.224-243, [2000]

4. Rafikul Alam., "Spectral refinements of Newton type for eigenelements of bounded linear operators.", J. Math. Anal. Appl , vol.23 ,pp.214-241, [2000]

3. Rafikul Alam, R. P. Kulkarni, B. V. Limaye., "Accelerated spectral approximation.", Maths. Comp. , vol.67 (224) ,pp.1401-1422, [1998]

2. Rafikul Alam., "On spectral approximation of linear operators.", J. Math. Anal. Appl.. :-. , vol.226 ,pp.229-244, [1998]

1. Rafikul Alam, R. P. Kulkarni, B. V. Limaye., "Boundedness of adjoint bases of approximate spectral subspaces and of associated block reduced resolvents.", Numer. Funct. Anal. Optimiz. , vol.17 ,pp.472-502, [1996]

Conference Publications

3. R. Alam, "Variational analysis of approximate defective eigenvalues", International Conference on Algebra and Related Topics , Springer , vol.Springer Proceedings in Mathematics & Statistics, Volume 392 ,pp.25-37, [2022]

2. Rafikul Alam., "Pseudospectra of matrices and their applications.", Proceedings of the Franco-Indian Spring School on Spectral Approximation:Theory, Applications and Computional Aspects. ,pp.90-107, [2007]

1. Rafikul Alam, Shreemayee Bora., "On epsilon-spectral analysis of matrices, in S.H. Kulkarni and M. N. N. Namboodiri (Eds.).", International Workshop on Linear Algebra, Numerical Functional Analysis and Wavelets Analysis, Allied Publishers Pvt. Ltd. ,pp.25-44, [2003]

PostDoc Fellow

Current

1	Prince Kanhya (IPDF)

Completed

Currently no completed student.

Research Scholars

Current

1	Jibrail Ali
2	Balasubramannyan S
3	Md Sohidul Alam

Completed

1	Shreemayee Bora
2	Sk. Safique Ahmad
3	Bibhash Adhikari
4	Namita Behara
5	Arnab Ghosh
6	Ranjan Kumar Das

1. Web Course: Matrix Computations Funding Agency : The Ministry of Human Resource Development, Govt. of India Principal Investigator: Rafikul Alam Co-investigator: Duration/Starting Year: 2009 Status: Completed

No Project Available!

No Data Available!