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Dr Sachindranath Jayaraman
Assistant Professor Grade I (Maths)
  +91 (0)471 - 2778118
  sachindranathj@iisertvm.ac.in

Publications

(I) Papers Communicated:

  1. Joyentanuj Das, Sachindranath Jayaraman and Sumit Mohanty, Distance matrix of a class of completely positive graphs: determinant and inverse (arXiv).

(II) Papers in Refereed Journals / Conference Proceedings:

  1. Chandrashekaran Arumugasamy, Sachindranath Jayaraman and Vatsalkumar N. Mer, A characterization of nonnegativity relative to proper cones, Indian Journal of Pure and Applied Mathematics, accepted for publication (arXiv).
  2. Chandrashekaran Arumugasamy, Sachindranath Jayaraman and Vatsalkumar N. Mer, Semipositivity of linear maps relative to proper cones in finite dimensional real Hilbert spaces, Electronic Journal of Linear Algebra, 34 (2018), 304-319.
  3. Chandrashekaran Arumugasamy and Sachindranath Jayaraman, Linear maps on M_n(R) preserving Schur stable matrices, Bulletin of Kerala Mathematics Association (Special Issue of ICLAA-2017), 16(1) (2018), 127-137 (arXiv).
  4. Chandrashekaran Arumugasamy and Sachindranath Jayaraman, Full column rank preservers that preserve semipositivity of matrices, Special Matrices, 6 (2018), 37-45.
  5. Chandrashekaran Arumugasamy and Sachindranath Jayaraman, Diagonalizability of the product versus diagonalizability of the individual factors, Functional Analysis, Approximation and Computation, 8(2) (2016), 31-35.
  6. Sachindranath Jayaraman, A note on self-dual cones in Hilbert spaces, Extracta Mathematicae, 28(2) (2013), 225 -- 233.
  7. Sachindranath Jayaraman, Nonnegative generalized inverses in indefinite inner product spaces, Filomat, 27(4) (2013), 259 -- 270.
  8. Sachindranath Jayaraman, EP matrices in indefinite inner product spaces, Functional Analysis, Approximation and Computation, 4(2) (2012), 23 -- 31.
  9. Sachindranath Jayaraman, Nonnegative generalized inverses and interval linear programs, Numerical Functional Analysis and Optimization, 31(11) (2010), 1272 – 1282.
  10. Sachindranath Jayaraman, Nonnegative reflexive generalized inverses and applications to group monotonicity, Operators and Matrices, 4(3) (2010), 353 – 363.
  11. Sachindranath Jayaraman and K. C. Sivakumar, Matrix interval monotonicity, Demonstratio Mathematica, 43(1) (2010), 1 – 10.
  12. Sachindranath Jayaraman and K. C. Sivakumar, Weak monotonicity of A versus {1}-inverses nonnegative in the range space of A, Linear Algebra and its Applications, 427(2-3) (2007), 171 – 175.
  13. Sachindranath Jayaraman and K. C. Sivakumar, Some aspects of weak monotonicity, Proceedings of TOFNA – 2005, IIT Mumbai, Journal of Analysis, 14 (2006), 215 – 225.
  14. Sachindranath Jayaraman and K. C. Sivakumar, Weak monotonicity of Hilbert space operators, International Journal of Pure and Applied Mathematics, 29(1) (2006), 65 -79.

(III) Book Chapter:

  1. Sachindranath Jayaraman, The reverse order law in indefinite inner product spaces, Combinatorial Matrix Theory and Generalized Inverses of Matrices, Edited by Ravindra B. Bapat, Steve J. Kirkland, K. Manunatha Prasad, Simo Puntanen, Springer (2013), 133 -- 141.
(IV) Miscellaneous:
  1. Sachindranath Jayaraman, Rank of a nonnegative definite matrix, Solution to Problem 37.3, IMAGE, Bulletin of the International Linear Algebra Society, 39 (Fall 2007).
  2. Sachindranath Jayaraman, Characterization of EP matrices, Solution to Problem 43.1, IMAGE, Bulletin of the International Linear Algebra Society, 44 (Spring 2010).
  3. Sachindranath Jayaraman, Reverse order law for the core inverse, Solution to Problem 48.1, IMAGE, Bulletin of the International Linear Algebra Society, 49 (Fall 2012).