Publication

 

Journal Publications:

 

  • R. Alam and N. Behera, Recovery of eigenvectors of rational matrix functions from Fiedler-like linearizations, Linear Algebra Appl., 510 (2016), 373-394.

 

  • R. Alam and N. Behera, Linearizations for rational matrix functions and Rosenbrock system polynomials, SIAM Journal Matrix Anal. Appl., 37 (2016), pp.354-380.

 

  • B. Adhikari and R. Alam, Structured Procrustes problem, Linear Algebra  Appl., 490(2016), pp. 145-161.

 

  • S. S. Ahmad and R. Alam, Wilkinson's problem for matrix pencils, Electronic J. Linear Algebra, 30 (2015), pp.632-648.

 

  • R. Alam, On the sensitivity analysis of eigenvalues, Electronic J. Linear Algebra, 29(2015), pp.223-235.

 

 

  •  R. Alam, S. Bora, M. Karow, V. Mehrmann and J. Moro,  Perturbation theory for Hamiltonian matrices and the distance to bounded realness, SIAM Journal Matrix Anal. Appl., 32(2011), pp.484-514.

 

  • B. Adhikari, R. Alam and D. Kressner, Structured eigenvalue condition numbers and linearizations for matrix polynomials, Linear Algebra  Appl., 435(2011), pp. 2193-2221.

 

  • R. Alam, S. Bora, R. Byers and M. L. Overton, Characterization and construction of the nearest defective matrix via coalescence of pseudospectral components, Linear Algebra  Appl., 435(2011), pp. 494-513.

 

  •  B. Adhikari and R. Alam, On backward errors of structured polynomial eigenproblems solved by structure preserving linearizations, Linear Algebra. Appl., 434(2011), pp. 1989-2017.

 

  • S.S. Ahmad, R. Alam and R. Byers, On pseudospectra, critical points and multiple eigenvalues of matrix pencils, SIAM J. Matrix Anal. Appl., 31(2010), pp.1915-1933.

 

  • B. Adhikari and R. Alam,  Structured backward errors and pseudospectra of structured matrix pencils,  SIAM J. Matrix Anal. Appl., 31(2009), pp. 331-359.

 

  • S. S. Ahmad and R. Alam, Pseudospectra, critical points and multiple eigenvalues of matrix polynomials, Linear Algebra Appl., 430 (2008), pp. 1171-1195.

 

  • R. Alam, Wilkinson's problem revisited, Journal of Analysis., 4(2006), pp.176-205.

 

  • R. Alam, On the construction of nearest defective matrices to a normal matrix, Linear Algebra Appl., 395(2005), pp.367-370.

 

  • R. Alam and S. Bora, On sensitivity of eigenvalues and eigendecompositions of matrices,  Linear Algebra Appl.396(2005), pp.273-301.

 

  • R. Alam and S. Bora, On stable eigendecomposition of matrices, SIAM J. Matrix Anal. Appl. 26(2005), pp.830-848.

 

  • R. Alam and S. Bora, Effect of linear perturbation on spectra of matrices, Linear Algebra Appl., 368(2003), 329-342.

 

  • R. Alam and S. Bora, Stability of eigenvalues and spectral decompositions under linear perturbation, Linear Algebra Appl., 364(2003), 189-211.

 

  • R. Alam, Spectral refinements of Newton type for eigenelements of bounded linear operators, J. Math. Anal. Appl., 241(2000), pp.214-23.

 

  • R. Alam, R. P. Kulkarni and B. V. Limaye,  Accelerated spectral refinement. Part II Cluster of eigenvalues, ANZIAM J., 42(2000), pp.224-243.

 

  • R. Alam, R. P. Kulkarni and B. V. Limaye, Accelerated spectral refinement. Part I Simple eigenvalue,  J. Austral. Maths. Soc. (Series B), 41(2000), pp.487-507.

 

  • R. Alam, On spectral approximation of linear operators,  J. Math. Anal. Appl., 226(1998), pp.229-244.

 

  • R. Alam, R. P. Kulkarni and B. V. Limaye, Accelerated spectral approximation, Maths. Comp., 67(1998), No.224, pp.1401-1422.

 

  • R. Alam, R. P. Kulkarni and B. V. Limaye ,  Boundedness of adjoint bases of approximate spectral subspaces and of  associated block reduced resolvents, Numer. Funct. Anal. Optimiz., 17(1996), pp.472-502.
     

 

 

 Conference Proceedings/Book Chapters:

  • R. Alam and S. 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., October 2003, pp.25-44.

 

  • R. Alam, Pseudospectra and applications,  in Theory and Applications of Spectral Approximation, Mario Paul Ahues Blanchait,  European University Edition, 2016,  pp. 83-102