**Dr.Rajasingam Prasanthan**

B.Sc. [Hons] (Jaffna), M.Sc (USA), Ph.D(USA).

- Senior Lecturer in Mathematics
- prasanthan81@gmail.com
- 0776654321

- Ph.D. in Mathematics (Southern Illinois University of Carbondle, USA 2016).
- M.Sc in Mathematics (Southern Illinois University of Carbondale, USA 2013).
- B.Sc. (Hons) in Mathematics (University of Jaffna, Sri Lanka, 2006).

- Student Counselor, Faculty of Science (2019).
- Academic Counselor, Faculty of Science (2017).
- General Secretary, Jaffna Science Association (2018/19).
- Applied Mathematics Coordinator (2016 – 2019).
- Convener, Welfare Committee (2009 – 2011, 2016-2018).
- Person In Charge, Department Library (2009 – 2011).
- Member of the ICT Committee (2016- 2019).
- Chief Examiner for G.C.E (A/L) Combined Mathematics (2018-todate).
*Member*of Science Faculty Career Guidance Cell, University of Jaffna, 2017 – 2019.*Member*of the Subcommittee of the Faculty Board of Science on Shortage of Science and Mathematics Teachers for Grade 6 to 11 in the country, 2017.*Member*of the Subcommittee of the Faculty Board of Science on Curriculum development for the Computer Application Course unit 2018.*Member*of the Subcommittee of the Faculty Board of Science on exploring the possibilities of commencing degree programmes for science stream A/L students to get them trained as Science and Mathematics teachers, 2007.

- M. H. Olmsted outstanding PhD Teaching Assistant Award, Southern Illinois University Carbondale, USA (2016).
- Sir ArunachalamMahadheva Memorial Prize, Best performance in Honors Degree Examination in Mathematics, University of Jaffna, Sri Lanka (2006).
- PiratheepanJeganathalingam Memorial scholarship, Best student selected for the Honors degree in Mathematics, University of Jaffna, Sri Lanka (2004).
- Scholarship for MPhil/PhD degrees under HETC Project ( Not Accepted by me).

**Oral Presentations**

- Combined matrix upper bound for the perturbed solution of the continuous algebraic Riccati equation, 26
^{th}Annual Sessions of the Jaffna Science Association, 2019. - New Matrix Upper bounds for the solution of continuous Coupled algebraic Riccati equations, popular talk, Department of Mathematics and Statistics, University of Jaffna, June 2016.
- Upper Bounds on the solution of Continuous Algebraic Riccati Equation, Linear Algebra Seminar, Southern Illinois University Carbondale, November 2014.
- Matrix Upper Bounds on the solution of the Continuous Coupled Algebraic Riccati Equation, (poster presentation) April 2015, Southern Illinois University Carbondale.

**Poster Presentations**

- Prasanthan, “New unified improved upper matrix bounds on the solution of the continuous coupled algebraic Riccati equation”,
*Graduate Research Forum of the Southern Illinois University Carbondale*, USA, pg:45 (2015).

**Thesis**

- On the Numerical Solution of Continuous Coupled Algebraic Riccati equations, PhD Thesis, 2016.
- Numerical Solution of Coupled Algebraic Riccati equations, MS thesis, 2013.

**Talks**

- Work Session on preparing final mark return sheet, Department of Mathematics and Statistics, (2019).

**Teaching : **

**Maths Department (level) :**

- Numerical Linear Algebra (4)
- Ordinary Differential Equations (4,1)
- Partial Differential Equations (4)
- Numerical Solutions of Differential Equations (4)
- Numerical Methods (3)
- Numerical Analysis (2)
- Group Theory and Topology (3)
- Functional Analysis (3)
- Number Theory and Cryptography (2)
- Matrices and Statics (1)

** CSC Departments (level):**

- Mathematics for Computing IV (4)
- Mathematics for Computing I (1)
- Numerical Linear Algebra and Numerical Solution of Differential Equations (4)

**Arts Department (level):**

- Basic Mathematics (1)

**University Teaching- Other University:**

- SIUC USA
- Discrete Mathematics (1)
- Short Course in Calculus (1)
- Trigonometry and Geometry (1)
- Intermediate Algebra (1)
- College Algebra (1)
- Contemporary Mathematics (1)
- Open University, Jaffna
- ADU 5308 – Graph Theory (5)
- PEU5303 – Number Theory (5)
- ADU4303 – Applied Linear Algebra and Differential Equations (4)
- PEU3300 – Mathematical Logic and Proof Techniques (3)
- PEU3301 – Foundation of Mathematics (3)

**SCI Journals:**

- JianhongXu and PrasanthanRajasingam, “New unified matrix upper bound on the solution of the continuous coupled algebraic Riccati equation” ,
*Journal of the Franklin Institute*, Volume 353, Issue 5, 2016, Pages 1233-1247. - Prasanthan RajasingamandJianhongXu,“On the convergence of the accelerated Riccati iteration method”,
*International Journal of Control*,2018: DOI: 10.1080/00207179.2018.1533253.

**Other Papers**

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^{tJ}Mz;LkhehL>tyk;Gupehspjs;> (30.07.2019).

**Peer Reviewed Abstracts**

- Prasanthan, “Combined matrix upper bound for the perturbed solution of the continuous algebraic Riccati equation”,
*Proceedings of the Jaffna Science Association*, 26(1), ISSN 1800-1289, pg: 04, 2019. - C. S. Fernando and R. Prasanthan, “A fixed point iteration to solver the discrete algebraic Riccati equation”, Proceedings
*of the Wayamba International Coference WinC2018*, ISBN 978-955-7442-19-8, pg 395, 2018. - M. U. S. D. Dewagedara and R. Prasanthan, “Convergence of a unified Lyapunov iteration for solving the continuous coupled algebraic Riccati equation”,
*Proceedings of the Wayamba International Conference WinC2018*, ISBN 978-955-7442-19-8, pg 399, 2018. - M. U. S. D. Dewagedara and R. Prasanthan, “A new upper matrix bound for the solution of the discrete algebraic Riccati equation”,
*Proceedings of the 4*, University of Sri Jayewardenepura, Sri Lanka, ISSN2386-1509, pg: 6, 2017.^{th}International Conference on Multidisciplinary Approaches - M. U. S. D. Dewagedara and
__R.__Prasanthan, “A lower matrix bound for the solution of discrete algebraic Riccati equation”,*Proceedings of the Jaffna Science Association*, 24(1), ISSN 1800-1289, pg: 01, 2017.

**Other Abstracts **

- Prasanthan and J. Xu, “On the convergence of the accelerated Riccati iteration method”,
*Proceedings of the International Conference on Matrix Inequalities and Matrix Equations*, Shanghai University, China, pg: 22, 2017. - Prasanthan, “New unified improved upper matrix bounds on the solution of the continuous coupled algebraic Riccati equation”,
*Proceedings of Graduate Research Forum*, Southern Illinois University Carbondale, USA, pg: 45, 2015.

- National Science Foundation RPHS/2016/D02 (Grant obtained in collaboration with Researchers in Zoology and Computer Science)