Professor Ph.D. (IIT Guwahati)
+91 (0)361 258 2610 shbora â—Š iitg â‹… ac â‹… in
Research Area: Eigenvalue Problems, Spectral Perturbation Theory
Room No: E-105
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Perturbation theory for linear and nonlinear eigenvalue problems, Distance problems for matrices and matrix polynomials.
1995-1996 M.Sc. in Mathematics, University of Gauhati.
1997-2001 Ph.D. in Mathematics, Department of Mathematics, IIT Guwahati.
(Ph.D. thesis titled A Geometric Analysis of Spectral Stability of matrices and operators was prepared under the guidance of Prof. Rafikul Alam.)
Currently teaching:
Matrix Computations (MA423)
Previous Teaching Assignments:
January-April 2021: Numerical Linear Algebra (MA571)
September-December 2020: Matrix Computations (MA423)
January-May 2020: Mathematics II (MA102) to B.Tech 2nd semester students.
July-November 2019: Matrix Computations (MA423) to B.Tech (M & C) 7th semester students.
January - May 2019: Numerical Linear Algebra (MA571) to M.Sc. (M & C) 4th semester students.
July - November 2018: Advanced Linear Algebra (MA424) to B.tech 7th semester students (elective).
January-May 2018: Numerical Linear Algebra to M.Sc. (M & C) 4th semester students.
July-September 2017: Linear Algebra (MA522) to M.Sc. (M & C) 1st semester students.
January - April 2017: Mathematics II (MA102) to B.Tech 2nd semester students.
July - November 2016: Matrix Computations (MA423) to B.Tech (M & C) 7th semester students.
January - April 2016: Numerical Linear Algebra (MA571) to M.Sc. (M & C) 4th semester students.
For a list of courses taught prior to 2016 please click .
1. Michael Karow, "Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory (Festschrift in honor of V. Mehrmann)", Structured Eigenvalue Perturbation Theory , Springer (978-3-319-15260-8) ,pp.199-222 [2015]
15. Nandita Roy, Michael Karow, Gorka Armentia, "Approximation of Pseudospectra of Block Upper Triangular Matrices", Linear Algebra and its Applications , vol.623 ,pp.398-419, [2021] ,
14. Biswajit Das, "Nearest Matrix Polynomials With a Specified Elementary Divisor Nearest Matrix Polynomials With a Specified Elementary Divisor Nearest matrix polynomials with a specified elementary divisor", SIAM Journal on Matrix Analiysis and Applications , vol.41 (4) ,pp.1505-1527, [2020] ,
13. Ashish Kothyari, Biswajit Das, Shreemayee Bora, Madhu N. Belur., "On the distance to nearest singular descriptor dynamical systems with impulsive initial conditions", IEEE Transactions on Automatic Control , vol.64 (3) ,pp.1137-1149, [2019]
12. Biswajit Das, "Vector spaces of generalized linearizations for rectangular matrix polynomials", Electronic Journal of Linear Algebra , vol.35 ,pp.116-155, [2019] ,
11. Ravi Srivastava, "Distance problems for Hermitian matrix pencils with eigenvalues of definite type.", SIAM Journal on Matrix Analiysis and Applications , vol.37 (1) ,pp.53-85, [2016] ,
10. Shreemayee Bora, Michael Karow, Christian Mehl, Punit Sharma., "Structured eigenvalue backward errors of matrix pencils and polynomials with Hermitian and related structures", SIAM Journal on Matrix Analysis and Applications , vol.36 (2) ,pp.393-416, [2015]
9. Shreemayee Bora, Michael Karow, Christian Mehl, Punit. Sharma., "Structured eigenvalue backward errors of matrix pencils and polynomials with Hermitian and related structures", SIAM Journal on Matrix Analysis and Applications , vol.35 (2) ,pp.453-475, [2014]
8. 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]
7. 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]
6. Shreemayee Bora., "Structured eigenvalue condition number and backward error of a class of polynomial eigenvalue problems.", SIAM Journal of Matrix Analysis and Applications. , vol.31 ,pp.900-917, [2009]
5. Shreemayee Bora, Volker Mehrmann., "Linear perturbation theory for structured matrix pencils arising in control theory.", SIAM Journal of Matrix Analysis Applications. , vol.28 (1) ,pp.148-169, [2006]
4. Rafikul Alam, Shreemayee Bora., "On stable eigendecompositions of matrices.", SIAM Journal of Matrix Analysis Application. , vol.26 (3) ,pp.830-848, [2005]
3. Rafikul Alam, Shreemayee Bora., "On sensitivity of eigenvalues and eigendecompositions of matrices", . Linear Algebra Applications , vol.396 ,pp.273-301, [2005]
2. Rafikul Alam, Shreemayee Bora., "Stability of eigenvalues and spectral decompositions under linear perturbation.", Linear Algebra and its Applications. , vol.364 ,pp.189-211, [2003]
1. Rafikul Alam, Shreemayee Bora., "Effect of linear perturbation on spectra of matrices.", Linear Algebra. Applications. , vol.368 ,pp.329-342, [2003]
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]
Research Scholars
1 | Kannan R |
1 | Nandita Roy |
2 | Ravi Srivastava |
3 | Punit Sharma |
4 | Biswajit Das |
1. Eigenvalues of Linear and Non-linear Matrix Valued Functions: A Study of Inclusion Regions, Pseudospectra and Low Rank Perturbations.
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2. Distance Problems for Structured Matrix Polynomials
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No Project Available!