Dr K Manjunatha Prasad

Professor of Mathematics; Coordinator - Centre for Advanced Research in Applied Mathematics and Statistics

Department of Data Science

CURRENT ACADEMIC ROLE & RESPONSIBILITIES

    o    Professor of Mathematics, Department of Mathematics

    o    Coordinator of Centre for Research in Advanced Mathematics and Statistics

    o    Research guide

    o    Associated with projects of national importance

    o    Organizing national & international conferences, workshops,and lecture series

     

SUBJECTS CURRENTLY TEACHING

Subject Subject code Semester
Linear Algebra and Matrix Theory MDS 501 Year I
Mathematics Foundation MBS 501 Year I
Operations Research in Healthcare MHA 601 Year I

ACADEMIC QUALIFICATIONS

Degree Specialisation Institute Year of passing
PhD Mathematics (Generalized Inverses of Matrices over Rings) Indian Statistical Institute, Calcutta 1993
MSc Mathematics Mangalore University 1985

Experience

Institution / Organisation Designation Role Tenure
Department of Data Science, PSPH, MAHE, Manipal Professor Teaching and coordinator of CARAMS 2010- Till Date
Manipal Institute of Management, Manipal, MAHE, Manipal Professor Teaching 2006-2010
Sikkim Manipal Institute of Technology, Sikkim Joined as Lecturer, Promoted as a Reader (1998), Promoted as a Professor(2004) Teaching and additional controller of examination SMU 1997-2006
Indian Statistical Institute, Delhi CSIR Research Associate 1994-1997
Indian Statistical Institute, Bangalore Visiting Scientist May 1994 - Aug 1994
Indian Statistical Institute Bangalore Research fellow 1987-1993
Mangalore University, Mangalore Lecturer Teaching 1991-1992
Govt. Junior College, Navunda Adjunct faculty Teaching 1985-1987

AREAS OF INTEREST, EXPERTISE AND RESEARCH

Area of Interest

Linear Algebra, Linear Models, Matrices and Graphs, Nonnegative Matrices , Graphs and Matrices in Graph Theory, Network Theory and Applications

Area of Expertise

Generalized Inverse of Matrices and their Applications, Covariance Matrices and Applications, Projective Modules and Matrices over Commutative Rings, Regular Rings, Partial Ordering of Matrices and Shorted Matrix

Area of Research

Generalized Inverse of Matrices and their Applications, Covariance Matrices and Applications, Projective Modules and Matrices over Commutative Rings, Regular Rings, Partial Ordering of Matrices and Shorted Matrix

Professional Affiliations & Contributions

  •  
    • Member of American Mathematical Society (AMS), International Linear Algebra Society (ILAS), Society for Industrial and Applied Mathematics (SIAM), Academy of Discrete Mathematics and Applications, von Karman Society for Advanced Study & Research in Mathematical and Social Sciences, International Biometric Society (IBS)
    • Served as REFEREE for several International Journals such as: Linear Algebra and Its Applications, Linear and Multilinear Algebra, Sankhya, SIAM Journal on Matrix Analysis and Applications(SIMAX), Journal of the Indian Society of Agricultural Statistics, Indian Journal of Pure and Applied Mathematics, Mathematica Slovakia, electronics Journal of Linear Algebra, Nuclear Science & Engineering, Mathematical Inequalities & Applications, Central European Journal of Mathematics
    • In the editorial board of: AKCE International Journal of Graphs and Combinatorics, International Journal of Fuzzy Mathematics Archives, Research & Review: Journal of Statistics, STM Journal, Electronics Journal of Linear Algebra (Special Editor), Annals of Operation Research (Guest Editor), Special Matrices (Guest Editor)
    • Resource person in Mathematics for: Center for Mathematical Sciences PALA, India, Central University of Kerala, India.

Work Experience

Engaged in teaching since 1985 and research since 1987.

 

Thesis Supervised

·         Meghna Raviraj, “ Measurement and evaluation of nuclear data of 232Th(n,2n)231Th reaction cross section with covariance analysis”, December 2020, submitted to MAHE, Manipal

·         M. David Raj, “Outer Inverses: Characterization and Computations”, March 2020, submitted to MAHE, Manipal

·         Nupur Nandini, “Rank–Function and Dimension–Function”, April 2019, submitted to MAHE, Manipal

·         Y. Santhi Sheela, “Covariance analysis in Neutron Activation Measurements of 59Co(n,2n)58Co and 59Co(n,γ)60Co Reactions in the MeV Region”, March 2018, submitted to MAHE, Manipal

·         P. Divya Shenoy, “Determinants in the Study of Generalized Inverses of Matrices over Commutative Ring”, December 2017, submitted to MAHE, Manipal

·         Kalesh M. Karun, “Estimation of Correlation Between Pixel Intensities in Microarray Experiments”, November 2016, submitted to Manipal University, Manipal

·         B. S. Shivashankar, “Investigations in Nuclear Data Physics and Covariances in Nuclear data Evaluation”, October 2016, submitted to Manipal University, Manipal

·         Pallavi Upadhyaya, “Perception and Adoption of B2B Electronic Market Places: A Case of Manufacturing MSMEs”, August 2012, submitted to Manipal University, Manipal

 

 

Associated Projects

·         Theory and Applications of Generalized Inverses of Matrices(3 years), funded by SERB-DST (ongoing)

·         Matrices, Generalized Inverses, and Applications (3 years), funded by SERB-DST(ongoing)

·         Generalized Inverse of Matrix and its Applications (2015–18), funded by SERB-DST(completed)

·         Evaluation of nuclear data including covariance error matrix for advanced nuclear systems in India (2015–19), funded by BRNS, (completed)

·         Generation, study and applications of covariance error matrix in nuclear data for advanced nuclear systems in India (2008-11), funded by BRNS (completed)

Inverse Complements of a Matrix and Applications

2021 K. Nayan Bhat Manjunatha Prasad Karantha Eagambaram Narayanan

In: Journal of Algebra and its Applications (2021). DOI: 10 . 1142 /0219498821501449(accepted).

Measurement of 115ln(n,2n)114mln and 197Au(n,2n)196Au reaction cross sections at the neutron energies of 13.52 and 14.54 MeV with covariance analysis

A. M. Sunitha Kamsali Nagarajan H. B. Sachhidananda S.V. Suryanarayana B. Rudraswamy Haladhara Naik Meghna Karkera Imran Pasha Y. S. Sheela Manjunatha Prasad

In: Journal

Measurement and covariance analysis of 140Ce(n,2n)139Ce and 142Ce(n,2n)141Ce reactions with the neutron energy 13.5 MeV

2020 H. B. Sachhidananda S. R. Manohara A. M. Sunitha Imran Pasha B. Rudraswamy S.V.Suryanarayana Haladhara Naik Meghna Karkera Y. S. Sheela Manjunatha Prasad

In: Journal of Radioanalytical and Nuclear Chemistry 325 (2020). DOI: 10.1007/s10967-020-07292-5.

Measurement of 92Mo(n, α)89Zr and 97Mo(n, p)97Nb reactions at the neutron energy 13.52 MeV with covariance analysis

2020 A. M. Sunitha B. Rudraswamy S. V. Suryanarayana Kamsali Nagaraja Meghna Karkera Imran Pasha H. B. Sachhidananda Y. S. Sheela Manjunatha Prasad

In: Indian Journal of Pure and Applied Physics 58 (2020).

Measurement of neutron induced reaction cross sections of palladium isotopes at the neutron energy of 14.54 }0.24 MeV with covariance analysis

2020 Imran Pasha Rudraswamy Basavanna Saraswatula Venkata Suryanarayana Haladhara Naik Sangeetha Prasanna Ram Laxman Singh Danu Tarun Patel Saroj Bishnoi Manjunatha Prasad Karantha

In: Journal of Radio analytical and Nuclear Chemistry (2020). DOI: 10.1007/s10967-020-07218-1.

Generalized core-nilpotent decomposition

2019 Manjunatha Prasad Karantha Savitha Varkady

In: Journal of Analysis (2019), pp. 1–8. DOI: 10.1007/s41478-019-00203-2(accepted).

Measurement and covariance analysis of 232Th(n,2n)231Th reaction cross section

2019 Karkera M Yerraguntla S Punchithaya S Suryanarayana S. V Prasad M Naik H Ganesan S Dhanu L Rajeev K Kapil D; Raj D; Patel T; Bishnoi S; Kannan U

In: Journal of Radioanalytical and Nuclear Chemistry 322 (2019), pp. 817–825. DOI: 10.1007/s10967-019-06722-3.

93Nb(n,2n)92mNb, 93Nb(n,)90mY and 92Mo(n, p)92mNb reactions at 14.78 MeV and covariance analysis

2019 Pasha I Basavanna R Yerranguntla S. S Suryanarayana S. V Karkera M Naik H Karantha M. P Danu L. S Bishnoi S Patel T; Kumar R

In: Journal of Radioanalytical and Nuclear Chemistry 320(3) (2019), pp. 561–568. DOI: 10.1007/s10967-019-06510-z.

Measurement and covariance analysis of 232Th(n,2n)231Th reaction cross sections at the effective neutron energies of 8.97 and 16.52 MeV

2018 Meghna Karkera Haladhara Naik Sripathi Punchithaya Manjunatha Prasad Santhi Sheela Yeraguntla Saraswatula Venkata Suryanarayana Srinivasan Ganesan Vibha Vansola Rajnikanth Makhwana

In: Journal of Radioanalytical and Nuclear Chemistry 318.3 (2018), pp. 1893–1900. DOI: doi.org/10.1007/s10967-018-6199-0.

Measurement of 59Co(n,2n) 58Co reaction cross sections at the effective neutron energies of 11.98 and 15.75 MeV

2018 Y. Santhi Sheela Haladhara Naik K. Manjunatha Prasad S. Ganesan N. Sreekumaran Nair S. V. Suryanarayana

In: Radiochimica Acta 106(11) (2018), pp. 877–884. DOI: https://doi.org/10.1515/ract-2018-2937.

Rank function and outer inverses

2018 K. Nayan Bhat Manjunatha Prasad Karantha Nupur Nandini

In: Electronics Journal of Linear Algebra 33 (2018), pp. 16–23. DOI: 10.13001/1081- 3810, 1537-9582.3671.

Minus Partial Order and Rank 1 Summands

2018 K. Nayan Bhat Manjunatha Prasad Karantha

In: Bulletin of Kerala Mathematics Association 16.1 (2018), pp. 47–58.

Iterative method to find Core-EP inverse

2018 Manjunatha Prasad Karantha David Raj Micheal M. Vinay

In: Bulletin of Kerala Mathematics Association 16.1 (2018), pp. 139–152.

A note on Rao-regular matrices

2018 Manjunatha Prasad Karantha Nupur Nandini

In: Bulletin of Kerala Mathematics Association 16.1 (2018), pp. 109–125.

Bordering method to compute Core-EP inverse

2018 Manjunatha Prasad Karantha David Raj Micheal

In: Special Matrices 6 (2018), pp. 193–200.

Outer inverses and Jacobi type identities

2018 Ravindra B. Bapat Manjunatha Prasad Karantha Nupur Nandini Divya P. Shenoy

In: Linear Algebra and its Applications 536 (2018), pp. 274–294.

Measurement of 59Co(n,γ)60Co reaction cross sections at the effective neutron energies of 11.98 and 15.75 MeV

2017 Y. Santhi Sheela Haladhara Naik Manjunatha Prasad Karantha S. Ganesan S. V. Suryanarayana Sylvia Badwar

In: Journal of Radioanalytical and Nuclear Chemistry 314 (2017), pp. 457–465. DOI: https://doi.org/10.1007/s10967-017-5374-z.

Determinants of B2B E-Marketplace Adoption: An Empirical Study of Indian Small Firms

2017 Pallavi Upadhyaya P. Mohanan K. Manjunatha Prasad

In: International Journal of E-Business Research 13.4 (2017), pp. 55–69.

Outer inverses: Characterization and applications

2017 Ravindra B. Bapat Surender Kumar Jain K. Manjunatha Prasad M. David Raj

In: Linear Algebra and its Applications 528 (2017), pp. 171–184. DOI: 10.1016/j.laa.2016.06.045.

Some matrix equations of graphs

2016 K. Arathi Bhat K. Manjunatha Prasad G. Sudhakara

In: Advances and Applications in Discrete Mathematics 17.1 (2016), pp. 29–48.

Estimation of Correlation between various types of Pixel Intensities in a Single Spot

2016 Kalesh M Karun V. S. Binu N. Sreekumaran Nair K. Manjunatha Prasad Kala M Karun Kerthana Prasad K. M. Girisha

In: Electronics Journal of Applied Statistical Analysis (EJASA) 9.1 (2016), pp. 58–69. DOI: 10.1285/i20705948v9n1p58.

Minus partial order on regular matrices

2016 K. Manjunatha Prasad K. S. Mohana Divya P. Shenoy

In: Linear and Multilinear Algebra 64.5 (2016), pp. 929–941. DOI: 10.1080/03081087.2015.1067667.

Algorithm to identifying (2, 2) Bipartite Graphs

2016 K. Manjunatha Prasad K. V. Soumya G. Sudhakara

In: Advances and Applications in Discrete Mathematics 17.4 (2016), pp. 397–436. DOI: 10.1285/i20705948v9n1p58.

Impact of pixel intensity correlations on statistical inferences of expression levels in cDNA microarray experiments

2015 V. S. Binu N. S. Nair K. Manjunatha Prasad Kalesh M Karun

In: International journal of bioinformatics research and applications 11.3 (2015), pp. 257–267.

Review on image segmentation methods in cDNA microarray experiments and a novel algorithm for segmentation

2015 Kalesh M Karun V. S. Binu Keerthana Prasad N. Sreekumaran Nair K. Manjunatha Prasad K. M. Girisha

In: International Journal of Emerging Science and Engineering (IJESE) 3.5 (2015), pp. 19–24.

Rank and dimension functions

2015 K. Manjunatha Prasad Nupur Nandini Divya P. Shenoy

In: Electronic Journal of Linear Algebra 29.1 (2015), pp. 144–155.

Power Graph with (2,2)− Bipartition

2015 K. Manjunatha Prasad G. Sudhakara K. V. Soumya

In: Advances and Applications in Discrete Mathematics 16.1 (2015), pp. 51–65.

Measurement and Covariance Analysis of Reaction Cross Sections for 58Ni (n, p) 58Co Relative to Cross Section for Formation of Zr-97 Fission Product in Neutron-Induced Fission of Th-232 and U-238 at Effective Neutron Energies En= 5.89, 10.11, and 15.87 MeV

2015 B. S. Shivashankar S. Ganesan Haldar Naik S. V. Suryanarayana N Sreekumaran Nair K Manjunatha Prasad

In: Nuclear Science and Engineering 179.4 (2015), pp. 423–433.

Core–EP inverse

2014 K. Manjunatha Prasad K. S. Mohana

In: Linear and Multilinear Algebra 62.6 (2014), pp. 792–802. DOI: 10.1080/03081087.2013.791690.

Matrix Product (Modullo-2) of Graphs

2014 K. Manjunatha Prasad G. Sudhakara H. S. Sujatha K. V. Soumya

In: Indian J. Pure Appl. Math 45.6 (2014), pp. 851–860.

Column space decomposition and partial order on matrices

2013 N. Eagambaram K. Manjunatha Prasad K. S. Mohana

In: Electronic Journal of Linear Algebra 26.1 (2013), pp. 795–815.

Matrix Partial Order associated with Space Preorder

2013 K. Manjunatha Prasad K. S. Mohana Y. Santhi Sheela

In: Combinatorial Matrix Theory and Generalized Inverses of Matrices. Ed. by Ravindra B. Bapat, Steve Kirkland, K. Manjunatha Prasad, and Simo Puntanen. India: SPRINGER India, 2013, pp. 195–226. DOI: 10.1007/978-81-322-1053-5_17.

Matrix Product of Graphs

2013 K. Manjunatha Prasad G. Sudhakara H. S. Sujatha Vinay Madhusudhanan

In: Combinatorial Matrix Theory and Generalized Inverses of Matrices. Ed. by Ravindra B. Bapat, Steve Kirkland, K. Manjunatha Prasad, and Simo Puntanen. India: SPRINGER India, 2013, pp. 41–56. DOI: 10.1007/978-81-322-1053-5_4.

Barriers to adoption of B2B e-marketplaces: an empirical study of Indian manufacturing MSMEs

2013 Pallavi Upadhyaya P. Mohanan K. Manjunatha Prasad

In: Review of Integrative Business and Economics Research 2.1 (2013), pp. 555–565.

Estimation of Uncertainty Associated with Intensity Ratio in CDNA Microarray Experiments

2012 V.S. Binu N. S. Nair K. Manjunatha Prasad Kalesh M Karun

In: Research & Reviews: A Journal of Statistics 1.2 (2012), pp. 24–33.

Introduction to Generalized Inverses

2012 K. Manjunatha Prasad

In: Lectures on Matrix and Graph Methods. Ed. by Ravindra B Bapat, Steve Kirkland, K. Manjunatha Prasad, and Simo Puntanen. India: Manipal University Press, 2012. Chap. 5, pp. 43–60.

Partition of a graph with its complete subgraphs

2012 K. Manjunath Prasad G. Sudhakara H. S. Sujatha

In: Advances and Applications in Discrete Mathematics 10.1 (2012), pp. 1–22.

Generalized Inverses of Matrices(lecture notes, SERC 2011)

2011 K. Manjunatha Prasad

In: Multivariate and Matrix Calculus and Applications: Matrix Methods. Ed. by A.M. Mathai. 2011.

Generalized inverse of a matrix and its applications

2011 K. Manjunatha Prasad Y. Santhi Sheela Divya P. Shenoy

In: Proceedings of first ICAMS -2011. Ed. by P. Biswas and Anjan Raychaudhuri. 2011, pp. 33–41.

Shorted operators relative to a partial order in a regular ring

2009 Brian Blackwood S. K. Jain Manjunatha Prasad Ashish K. Srivastava

In: Communications in Algebra 37.11 (2009), pp. 4141– 4152. DOI: 10.1080/00927870902828629.

Can SME’s in India benefit from B2B Electronic Market Places?

2009 Pallavi Upadhyaya P. Mohanan K. Manjunatha Prasad

In: RVIM Journal of Management Research 1.2 (2009), pp. 63–68.

Electronics Market Place Adoption by Indian SME’s: A Conceptual Framework

2009 Pallavi Upadhyaya P. Mohanan K. Manjunatha Prasad

In: Proceedings of 2009 International Conference on Economics, Business management and Marketing. 2009.

Creation and annihilation in Matrix Theory

2000 R. E. Hartwig K. Manjunatha Prasad

In: Linear Algebra and Application 305 (2000), pp. 47–65. DOI: 10.1016/S0024-3795(99)00197-4.

Generalized power symmetric stochastic matrices

1999 Ravindra B. Bapat S. K. Jain K. Manjunatha Prasad

In: Proceedings of the American Mathematical Society 7.127 (1999), pp. 1987–1994.

Cochran’s theorem and related results on matrix rank over a commutative ring

1999 Ravindra B. Bapat K. Manjunatha Prasad

In: Statistical Inference and Design of Experiments (UJ Dixit and MR Satam Ed.) (1999), pp. 125–133.

Right-left symmetry of aR ⊕ bR = (a+ b)R in regular rings

1998 S. K. Jain K. Manjunatha Prasad

In: Journal of Pure and Applied Algebra 133.1-2 (1998), pp. 141–142. DOI: 10.1016/S0022-4049(97)00189-8.

Solvability of linear equations and rank-function

1997 K. Manjunatha Prasad

In: Communications in Algebra 25.1 (1997), pp. 297–302.

The regular shorted matrix and the hybrid sum

1997 S. K. Mitra K. Manjunatha Prasad

In: Advances in Applied Mathematics 18.4 (1997), pp. 403–422. DOI: 10.1006/aama.1996.0520.

The nonunique parallel sum

1997 Sujit Kumar Mitra K. Manjunatha Prasad

In: Linear algebra and its applications 259 (1997), pp. 77–99. DOI: 10.1016/S0024-3795(96)00243-1.

The nonunique shorted matrix

1996 Sujit Kumar Mitra K. Manjunatha Prasad

In: Linear algebra and its applications 237 (1996), pp. 41–70. DOI: 10.1016/0024-3795(95)00599-4.

On Bordering of Regular Matrices

1996 K. Manjunatha Prasad K.P.S. Bhaskara Rao

In: Linear algebra and its applications 234 (1996), pp. 245–259. DOI: 10.1016/0024-3795(94)00116-2.

Generalized inverses of matrices over commutative rings

1994 K. Manjunatha Prasad

In: Linear Algebra and its Applications 211 (1994), pp. 35–52. DOI: 10.1016/S0024-3795(01)00295-6.

A Note on Khatri Inverse

1992 Ravindra B. Bapat K. Manjunatha Prasad

In: Sankya 54.2 (1992), pp. 291–295.

The generalized Moore-Penrose inverse

1992 K. Manjunatha Prasad Ravindra B. Bapat

In: Linear Algebra and its Applications 165 (1992), pp. 59–69. DOI: 0.1016/0024-3795(92)90229-4.

Generalized inverses over integral domains. II. Group inverses and Drazin inverses

1991 K. Manjunatha Prasad K. P. S. Bhaskara rao Ravindra B. Bapat

In: Linear Algebra and its Applications 146 (1991), pp. 31–47. DOI: 10.1016/0024-3795(91)90018-R.

Generalized inverses over integral domains

1990 Ravindra B. Bapat K. P. S. Bhaskara Rao K. Manjunatha Prasad

In: Linear Algebra and its Applications 140 (1990), pp. 181–196. DOI: 10.1016/0024-795(90)90229-6.

Guided several national and international student projects. International students on internship: (i) Jovanovic Katarina, Serbia (2013, IAESTE) (ii) Charlotte Prenzer, Germany (2014, IAESTE)