Publications

(I) Papers Communicated:

1. Pallavi Basavaraju, Shrinath Hadimani and Sachindranath Jayaraman, Stability of quaternion matrix polynomials (arXiv).
2. Pallavi Basavaraju, Shrinath Hadimani and Sachindranath Jayaraman, Spectral bounds for certain special type of rational matrices (arXiv).
3. Pallavi Basavaraju, Shrinath Hadimani and Sachindranath Jayaraman, The Hoffman-Wielandt inequality for quaternion matrices and quaternion matrix polynomials (arXiv).

(II) Papers in Refereed Journals / Conference Proceedings:  

1. Pallavi Basavaraju, Shrinath Hadimani and Sachindranath Jayaraman, Bounds on the moduli of eigenvalues of rational matrices, Results in Mathematics, 79:206 (2024), doi: 10.1007/s00025-024-02238-9.
2. Pallavi Basavaraju, Shrinath Hadimani and Sachindranath Jayaraman, On coneigenvalues of Quaternion matrices: location and perturbation, Indian Journal of Pure and Applied Mathematics, accepted for publication (Special Issue of ICLAA 2023) (arXiv).
3. Sachindranath Jayaraman and Vatsalkumar N. Mer, Linear mappings leaving invariant the copositive and completely positive cones, Czechoslovak Mathematical Journal, 74(3)(149) (2024), 801-815, doi:10.21136/CMJ.2024.0002-24.
4. Pallavi Basavaraju, Shrinath Hadimani and Sachindranath Jayaraman, Hoffman-Wielandt type inequality for block companion matrices of certain matrix polynomials, Advances in Operator Theory, 8(4) (2023), doi: 10.1007/s43036-023-00292-8.
5. Shrihari Sridharan, Sachindranath Jayaraman and Yogesh Kumar Prajapaty, Dynamics of products of matrices in max algebra, Discrete Event Dynamic Systems: Theory & Applications, 33 (2023), 161-179.
6. Sachindranath Jayaraman, Yogesh Kumar Prajapaty and Shrihari Sridharan, Dynamics of products of nonnegative matrices, Extracta Mathematicae, 37(2) (2022), 223-242.
7. Sachindranath Jayaraman and Vatsalkumar N. Mer, On linear preservers of semipositive matrices, Electronic Journal of Linear Algebra, 37 (2021), 88-112 (arXiv).
8. Joyentanuj Das, Sachindranath Jayaraman and Sumit Mohanty, Distance matrix of a class of completely positive graphs: determinant and inverse, Special Matrices, 8 (2020), 160-171 (arXiv).
9. Chandrashekaran Arumugasamy, Sachindranath Jayaraman and Vatsalkumar N. Mer, A characterization of nonnegativity relative to proper cones, Indian Journal of Pure and Applied Mathematics, 51(3) (2020), 935-944 (arXiv) (Springer).
10. 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.
11. 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).
12. Chandrashekaran Arumugasamy and Sachindranath Jayaraman, Full column rank preservers that preserve semipositivity of matrices, Special Matrices, 6 (2018), 37-45.
13. 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.
14. Sachindranath Jayaraman, A note on self-dual cones in Hilbert spaces, Extracta Mathematicae, 28(2) (2013), 225 -- 233.
15. Sachindranath Jayaraman, Nonnegative generalized inverses in indefinite inner product spaces, Filomat, 27(4) (2013), 259 -- 270.
16. Sachindranath Jayaraman, EP matrices in indefinite inner product spaces, Functional Analysis, Approximation and Computation, 4(2) (2012), 23 -- 31.
17. Sachindranath Jayaraman, Nonnegative generalized inverses and interval linear programs, Numerical Functional Analysis and Optimization, 31(11) (2010), 1272 – 1282.
18. Sachindranath Jayaraman, Nonnegative reflexive generalized inverses and applications to group monotonicity, Operators and Matrices, 4(3) (2010), 353 – 363.
19. Sachindranath Jayaraman and K. C. Sivakumar, Matrix interval monotonicity, Demonstratio Mathematica, 43(1) (2010), 1 – 10.
20. 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.
21. Sachindranath Jayaraman and K. C. Sivakumar, Some aspects of weak monotonicity, Proceedings of TOFNA – 2005, IIT Mumbai, Journal of Analysis, 14 (2006), 215 – 225.
22. 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).