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Sivakumar, Koratti Chengalrayan

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Author ID: sivakumar.koratti-chengalrayan Recent zbMATH articles by "Sivakumar, Koratti Chengalrayan"
Published as: Sivakumar, K. C.; Sivakumar, Koratti Chengalrayan; Sivakumar, Koratti C.
External Links: MGP · Math-Net.Ru
Documents Indexed: 87 Publications since 1995, including 1 Book
2 Contributions as Editor
Reviewing Activity: 263 Reviews
Co-Authors: 44 Co-Authors with 78 Joint Publications
409 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

54 Publications have been cited 187 times in 112 Documents Cited by Year
A review of infinite matrices and their applications. Zbl 1168.15023
Shivakumar, P. N.; Sivakumar, K. C.
18
2009
On splittings of matrices and nonnegative generalized inverses. Zbl 1247.15003
Mishra, Debasisha; Sivakumar, K. C.
14
2012
Comparison theorems for a subclass of proper splittings of matrices. Zbl 1252.65069
Mishra, Debasisha; Sivakumar, K. C.
10
2012
Moore-Penrose inverse in an indefinite inner product space. Zbl 1085.15005
Kamaraj, K.; Sivakumar, K. C.
10
2005
Indefinite product of matrices and applications to indefinite inner product spaces. Zbl 1097.47002
Kamaraj, K.; Ramanathan, K.; Sivakumar, K. C.
9
2004
New contributions to semipositive and minimally semipositive matrices. Zbl 1390.15109
Choudhury, Projesh Nath; Kannan, Rajesh M.; Sivakumar, K. C.
7
2018
Nonnegative Moore–Penrose inverses of Gram operators. Zbl 1122.15007
Kurmayya, T.; Sivakumar, K. C.
7
2007
A dominance notion for singular matrices with applications to nonnegative generalized inverses. Zbl 1261.15007
Mishra, Debasisha; Sivakumar, K. C.
5
2012
Nonnegative generalized inverses and least elements of polyhedral sets. Zbl 1213.15006
Mishra, Debasisha; Sivakumar, K. C.
5
2011
Semipositive matrices and their semipositive cones. Zbl 1390.15113
Sivakumar, K. C.; Tsatsomeros, M. J.
5
2018
Moore–Penrose inverse of an invertible infinite matrix. Zbl 1089.15005
Sivakumar, K. C.
5
2006
Applications of generalized inverses to interval linear programs in Hilbert spaces. Zbl 0838.90137
Kulkarni, S. H.; Sivakumar, K. C.
5
1995
Nonnegative Moore–Penrose inverses of operators over Hilbert spaces. Zbl 1169.47003
Kurmayya, T.; Sivakumar, K. C.
5
2008
Complementarity properties of singular \(M\)-matrices. Zbl 1352.15004
Jeyaraman, I.; Sivakumar, K. C.
4
2016
Infinite matrices and their recent applications. Zbl 1355.15001
Shivakumar, P. N; Sivakumar, K. C.; Zhang, Yang
4
2016
Generalized inverses of an invertible infinite matrix. Zbl 1094.15002
Sivakumar, K. C.
4
2006
On partial orders of Hilbert space operators. Zbl 1333.47007
Jose, Shani; Sivakumar, K. C.
4
2015
Explicit solvability of dual pairs of infinite linear programs. Zbl 1158.90385
Sivakumar, K. C.; Mercy Swarna, J.
4
2005
Proof by verification of the Greville/Udwadia/Kalaba formula for the Moore-Penrose inverse of a matrix. Zbl 1147.15301
Sivakumar, K. C.
4
2006
\(P_{\dagger}\)-matrices: a generalization of \(P\)-matrices. Zbl 1318.15003
Kannan, M. Rajesh; Sivakumar, K. C.
3
2014
Moore-Penrose inverse positivity of interval matrices. Zbl 1236.15012
Rajesh Kannan, M.; Sivakumar, K. C.
3
2012
A new characterization of nonnegativity of Moore-Penrose inverses of Gram operators. Zbl 1161.15004
Sivakumar, K. C.
3
2009
Three types of operator monotonicity. Zbl 1079.15020
Kulkarni, S. H.; Sivakumar, K. C.
3
2004
Theorems of the alternative over indefinite inner product spaces. Zbl 1151.46055
Ramanathan, K.; Sivakumar, K. C.
3
2008
Explicit solutions of a special class of linear programming problem in Banach spaces. Zbl 0881.46022
Kulkarni, S. H.; Sivakumar, K. C.
3
1996
Range and group monotonicity of operators. Zbl 0989.47022
Sivakumar, K. C.
3
2001
Extensions of Perron-Frobenius splittings and relationships with nonnegative Moore-Penrose inverses. Zbl 1307.15009
Sushama, Agrawal N.; Premakumari, K.; Sivakumar, K. C.
2
2015
Vanishing pseudo-Schur complements, reverse order laws, absorption laws and inheritance properties. Zbl 1390.15007
Bisht, Kavita; Sivakumar, K. C.
2
2018
Pseudo Schur complements, pseudo principal pivot transforms and their inheritance properties. Zbl 1326.15007
Bisht, Kavita; G., Ravindran; Sivakumar, K. C.
2
2015
On positive invertibility and splittings of operators in ordered Banach spaces. Zbl 1326.47042
Sivakumar, K. C.; Weber, M. R.
2
2013
Moore-Penrose inverse of a Gram matrix and its nonnegativity. Zbl 1173.15001
Kurmayya, T.; Sivakumar, K. C.
2
2008
Explicit solvability of a class of infinite linear economic models. Zbl 0838.90020
Kulkarni, S. H.; Sivakumar, K. C.
2
1995
Singular irreducible \(M\)-matrices revisited. Zbl 1410.15059
Kalauch, A.; Lavanya, S.; Sivakumar, K. C.
2
2019
Nonnegative generalized inverses. Zbl 0889.15003
Sivakumar, K. C.
2
1997
Explicit solutions of infinite quadratic programs. Zbl 1116.90386
Sivakumar, K. C.; Mercy Swarna, J.
2
2003
Nonnegative generalized inverses and certain subclasses of singular \(Q\)-matrices. Zbl 1281.15003
Sivakumar, K. C.
1
2013
T. Parthasarathy’s contributions to complementarity problems: a survey. Zbl 1442.90188
Murthy, G. S. R.; Sivakumar, K. C.; Sushmitha, P.
1
2020
M-matrix and inverse M-matrix extensions. Zbl 1457.15033
McDonald, J. J.; Nandi, R.; Sivakumar, K. C.; Sushmitha, P.; Tsatsomeros, M. J.; Wendler, Enzo; Wendler, Megan
1
2020
Matrix interval monotonicity. Zbl 1193.15032
Jayaraman, Sachindranath; Sivakumar, K. C.
1
2010
Positive splittings of matrices and their nonnegative Moore-Penrose inverses. Zbl 1193.15001
Kurmayya, Tamminana; Sivakumar, Koratti C.
1
2008
An extension of a matrix inequality of Thompson. Zbl 1375.15030
Choudhury, Projesh Nath; Sivakumar, K. C.
1
2017
Tucker’s theorem for almost skew-symmetric matrices and a proof of Farkas’ lemma. Zbl 1321.15059
Choudhury, Projesh Nath; Sivakumar, K. C.
1
2015
A class of singular \(R_0\)-matrices and extensions to semidefinite linear complementarity problems. Zbl 1299.90349
Sivakumar, Koratti Chengalrayan
1
2013
Generalizations of matrix monotonicity and their relationships with certain subclasses of proper splittings. Zbl 1236.15010
Mishra, D.; Sivakumar, K. C.
1
2012
Nonnegative Moore-Penrose inverse of Gram matrices in an indefinite inner product space. Zbl 1176.15007
Ramanathan, K.; Sivakumar, K. C.
1
2009
Applications of nonnegative operators to a class of optimization problems. Zbl 1145.90104
Sivakumar, K. C.
1
2008
\(M\)-operators on partially ordered Banach spaces. Zbl 1454.47048
Kalauch, A.; Lavanya, S.; Sivakumar, K. C.
1
2019
A note on linear preservers of semipositive and minimally semipositive matrices. Zbl 1405.15036
Choudhury, Projesh Nath; Kannan, Rajesh; Sivakumar, K. C.
1
2018
Inequalities for group invertible \(H\)-matrices. Zbl 1415.15020
Chatterjee, Manami; Sivakumar, K. C.
1
2019
Weak monotonicity of \(A\) versus \(\{1\}\)-inverses nonnegative on the range space of \(A\). Zbl 1132.15005
Jayaraman, Sachindranath; Sivakumar, K. C.
1
2007
Moore-Penrose inverse of perturbed operators on Hilbert spaces. Zbl 1282.47011
Jose, Shani; Sivakumar, K. C.
1
2013
Generalized inverses of an invertible infinite matrix over a finite field. Zbl 1109.15002
Saranya, C. R.; Sivakumar, K. C.
1
2006
Weak monotonicity of Hilbert space operators. Zbl 1133.47030
Jayaraman, Sachindranath; Sivakumar, K. C.
1
2006
Linear optimization with box constraints in Banach spaces. Zbl 1169.90012
Sivakumar, K. C.; Swarna, J. M.
1
2009
T. Parthasarathy’s contributions to complementarity problems: a survey. Zbl 1442.90188
Murthy, G. S. R.; Sivakumar, K. C.; Sushmitha, P.
1
2020
M-matrix and inverse M-matrix extensions. Zbl 1457.15033
McDonald, J. J.; Nandi, R.; Sivakumar, K. C.; Sushmitha, P.; Tsatsomeros, M. J.; Wendler, Enzo; Wendler, Megan
1
2020
Singular irreducible \(M\)-matrices revisited. Zbl 1410.15059
Kalauch, A.; Lavanya, S.; Sivakumar, K. C.
2
2019
\(M\)-operators on partially ordered Banach spaces. Zbl 1454.47048
Kalauch, A.; Lavanya, S.; Sivakumar, K. C.
1
2019
Inequalities for group invertible \(H\)-matrices. Zbl 1415.15020
Chatterjee, Manami; Sivakumar, K. C.
1
2019
New contributions to semipositive and minimally semipositive matrices. Zbl 1390.15109
Choudhury, Projesh Nath; Kannan, Rajesh M.; Sivakumar, K. C.
7
2018
Semipositive matrices and their semipositive cones. Zbl 1390.15113
Sivakumar, K. C.; Tsatsomeros, M. J.
5
2018
Vanishing pseudo-Schur complements, reverse order laws, absorption laws and inheritance properties. Zbl 1390.15007
Bisht, Kavita; Sivakumar, K. C.
2
2018
A note on linear preservers of semipositive and minimally semipositive matrices. Zbl 1405.15036
Choudhury, Projesh Nath; Kannan, Rajesh; Sivakumar, K. C.
1
2018
An extension of a matrix inequality of Thompson. Zbl 1375.15030
Choudhury, Projesh Nath; Sivakumar, K. C.
1
2017
Complementarity properties of singular \(M\)-matrices. Zbl 1352.15004
Jeyaraman, I.; Sivakumar, K. C.
4
2016
Infinite matrices and their recent applications. Zbl 1355.15001
Shivakumar, P. N; Sivakumar, K. C.; Zhang, Yang
4
2016
On partial orders of Hilbert space operators. Zbl 1333.47007
Jose, Shani; Sivakumar, K. C.
4
2015
Extensions of Perron-Frobenius splittings and relationships with nonnegative Moore-Penrose inverses. Zbl 1307.15009
Sushama, Agrawal N.; Premakumari, K.; Sivakumar, K. C.
2
2015
Pseudo Schur complements, pseudo principal pivot transforms and their inheritance properties. Zbl 1326.15007
Bisht, Kavita; G., Ravindran; Sivakumar, K. C.
2
2015
Tucker’s theorem for almost skew-symmetric matrices and a proof of Farkas’ lemma. Zbl 1321.15059
Choudhury, Projesh Nath; Sivakumar, K. C.
1
2015
\(P_{\dagger}\)-matrices: a generalization of \(P\)-matrices. Zbl 1318.15003
Kannan, M. Rajesh; Sivakumar, K. C.
3
2014
On positive invertibility and splittings of operators in ordered Banach spaces. Zbl 1326.47042
Sivakumar, K. C.; Weber, M. R.
2
2013
Nonnegative generalized inverses and certain subclasses of singular \(Q\)-matrices. Zbl 1281.15003
Sivakumar, K. C.
1
2013
A class of singular \(R_0\)-matrices and extensions to semidefinite linear complementarity problems. Zbl 1299.90349
Sivakumar, Koratti Chengalrayan
1
2013
Moore-Penrose inverse of perturbed operators on Hilbert spaces. Zbl 1282.47011
Jose, Shani; Sivakumar, K. C.
1
2013
On splittings of matrices and nonnegative generalized inverses. Zbl 1247.15003
Mishra, Debasisha; Sivakumar, K. C.
14
2012
Comparison theorems for a subclass of proper splittings of matrices. Zbl 1252.65069
Mishra, Debasisha; Sivakumar, K. C.
10
2012
A dominance notion for singular matrices with applications to nonnegative generalized inverses. Zbl 1261.15007
Mishra, Debasisha; Sivakumar, K. C.
5
2012
Moore-Penrose inverse positivity of interval matrices. Zbl 1236.15012
Rajesh Kannan, M.; Sivakumar, K. C.
3
2012
Generalizations of matrix monotonicity and their relationships with certain subclasses of proper splittings. Zbl 1236.15010
Mishra, D.; Sivakumar, K. C.
1
2012
Nonnegative generalized inverses and least elements of polyhedral sets. Zbl 1213.15006
Mishra, Debasisha; Sivakumar, K. C.
5
2011
Matrix interval monotonicity. Zbl 1193.15032
Jayaraman, Sachindranath; Sivakumar, K. C.
1
2010
A review of infinite matrices and their applications. Zbl 1168.15023
Shivakumar, P. N.; Sivakumar, K. C.
18
2009
A new characterization of nonnegativity of Moore-Penrose inverses of Gram operators. Zbl 1161.15004
Sivakumar, K. C.
3
2009
Nonnegative Moore-Penrose inverse of Gram matrices in an indefinite inner product space. Zbl 1176.15007
Ramanathan, K.; Sivakumar, K. C.
1
2009
Linear optimization with box constraints in Banach spaces. Zbl 1169.90012
Sivakumar, K. C.; Swarna, J. M.
1
2009
Nonnegative Moore–Penrose inverses of operators over Hilbert spaces. Zbl 1169.47003
Kurmayya, T.; Sivakumar, K. C.
5
2008
Theorems of the alternative over indefinite inner product spaces. Zbl 1151.46055
Ramanathan, K.; Sivakumar, K. C.
3
2008
Moore-Penrose inverse of a Gram matrix and its nonnegativity. Zbl 1173.15001
Kurmayya, T.; Sivakumar, K. C.
2
2008
Positive splittings of matrices and their nonnegative Moore-Penrose inverses. Zbl 1193.15001
Kurmayya, Tamminana; Sivakumar, Koratti C.
1
2008
Applications of nonnegative operators to a class of optimization problems. Zbl 1145.90104
Sivakumar, K. C.
1
2008
Nonnegative Moore–Penrose inverses of Gram operators. Zbl 1122.15007
Kurmayya, T.; Sivakumar, K. C.
7
2007
Weak monotonicity of \(A\) versus \(\{1\}\)-inverses nonnegative on the range space of \(A\). Zbl 1132.15005
Jayaraman, Sachindranath; Sivakumar, K. C.
1
2007
Moore–Penrose inverse of an invertible infinite matrix. Zbl 1089.15005
Sivakumar, K. C.
5
2006
Generalized inverses of an invertible infinite matrix. Zbl 1094.15002
Sivakumar, K. C.
4
2006
Proof by verification of the Greville/Udwadia/Kalaba formula for the Moore-Penrose inverse of a matrix. Zbl 1147.15301
Sivakumar, K. C.
4
2006
Generalized inverses of an invertible infinite matrix over a finite field. Zbl 1109.15002
Saranya, C. R.; Sivakumar, K. C.
1
2006
Weak monotonicity of Hilbert space operators. Zbl 1133.47030
Jayaraman, Sachindranath; Sivakumar, K. C.
1
2006
Moore-Penrose inverse in an indefinite inner product space. Zbl 1085.15005
Kamaraj, K.; Sivakumar, K. C.
10
2005
Explicit solvability of dual pairs of infinite linear programs. Zbl 1158.90385
Sivakumar, K. C.; Mercy Swarna, J.
4
2005
Indefinite product of matrices and applications to indefinite inner product spaces. Zbl 1097.47002
Kamaraj, K.; Ramanathan, K.; Sivakumar, K. C.
9
2004
Three types of operator monotonicity. Zbl 1079.15020
Kulkarni, S. H.; Sivakumar, K. C.
3
2004
Explicit solutions of infinite quadratic programs. Zbl 1116.90386
Sivakumar, K. C.; Mercy Swarna, J.
2
2003
Range and group monotonicity of operators. Zbl 0989.47022
Sivakumar, K. C.
3
2001
Nonnegative generalized inverses. Zbl 0889.15003
Sivakumar, K. C.
2
1997
Explicit solutions of a special class of linear programming problem in Banach spaces. Zbl 0881.46022
Kulkarni, S. H.; Sivakumar, K. C.
3
1996
Applications of generalized inverses to interval linear programs in Hilbert spaces. Zbl 0838.90137
Kulkarni, S. H.; Sivakumar, K. C.
5
1995
Explicit solvability of a class of infinite linear economic models. Zbl 0838.90020
Kulkarni, S. H.; Sivakumar, K. C.
2
1995
all top 5

Cited by 140 Authors

33 Sivakumar, Koratti Chengalrayan
13 Mishra, Debasisha
7 Choudhury, Projesh Nath
6 Jena, Litismita
6 Stanimirović, Predrag S.
5 Jayaraman, Sachindranath
4 Kurmayya, Tamminana
3 Kalauch, Anke
3 Lavanya, S.
3 Mer, Vatsalkumar N.
3 Rajesh Kannan, M.
3 Tasić, Milan B.
3 Wendler, Megan
2 Baliarsingh, Alekha Kumar
2 Bisht, Kavita
2 Chandrashekaran, A.
2 Đorđević, Dragan S.
2 Jeyaraman, I.
2 Kamenskiĭ, Mikhaĭl Igor’evich
2 Kannan, Rajesh M.
2 Krishnaswamy, D.
2 Kumar Giri, Chinmay
2 Ma, Haifeng
2 Mercy Swarna, J.
2 Miao, Shu-Xin
2 Mishra, Nachiketa
2 Nandi, Ashish Kumar
2 Narayanasamy, A.
2 Pani, Sabyasachi
2 Pepić, Selver H.
2 Radojević, Ivana M.
2 Ramanathan, Kiruthika
2 Słowik, Roksana
2 Sushmitha, P.
2 Tarasov, Vasily E.
2 Tsatsomeros, Michael J.
2 Xu, Qingxiang
1 Abderramán Marrero, J.
1 Alcalá, Luis A.
1 Appi Reddy, K.
1 Bhandari, Animesh
1 Bier, Agnieszka
1 Birbonshi, Riddhick
1 Bolotin, Arkady
1 Cantero, María José
1 Cao, Yang
1 Chatterjee, Manami
1 Chen, Haibin
1 Chen, Jianlong
1 Colbrook, Matthew J.
1 Dabús, Carlos
1 Deng, Chunyuan
1 Dinčić, Nebojša Č.
1 Djikić, Marko S.
1 Donelan, Peter S.
1 Drazin, Michael P.
1 Eagambaram, N.
1 Eshkaftaki, Ali Bayati
1 Farid, Farid O.
1 Fongi, Guillermina
1 Gao, Yuefeng
1 Gefter, Sergey L.
1 Gerhards, Christian
1 Ghosh, Pushpendu
1 Goncharuk, A. B.
1 Gudoshnikov, I. M.
1 Gudoshnikov, Ivan
1 Ha, Seung-Yeal
1 Hansen, Anders C.
1 Herrero, Alicia
1 Hisabia, Aritra Narayan
1 Huang, Shaowu
1 Huang, Ting
1 Jose, Shani
1 Kapodistria, Stella
1 Kim, Do Sang
1 Kostić, Vladimir R.
1 Lauze, François
1 Li, Hanyu
1 Liu, Xiaoji
1 Maestripieri, Alejandra L.
1 Marcellán Español, Francisco
1 Martseniuk, V. V.
1 Meenakshi, A. R.
1 Moral, Leandro
1 Mosić, Dijana
1 Mukherjee, Saikat
1 Nandi, Raju
1 Nielsen, Mads
1 Nistri, Paolo
1 Palmowski, Zbigniew
1 Parameswaran, Sushmitha
1 Park, Hansol
1 Patra, Arnab
1 Petrović, Miloš Z.
1 Piven’, A. L.
1 Premakumari, K.
1 Qin, Mengjie
1 Rakić, Dragan S.
1 Roberts, Mark L.
...and 40 more Authors
all top 5

Cited in 53 Serials

21 Linear Algebra and its Applications
7 Linear and Multilinear Algebra
7 Applied Mathematics and Computation
6 ELA. The Electronic Journal of Linear Algebra
5 Special Matrices
4 Journal of Optimization Theory and Applications
3 Computers & Mathematics with Applications
3 Indian Journal of Pure & Applied Mathematics
3 Advances in Operator Theory
2 Journal of Mathematical Analysis and Applications
2 Numerical Functional Analysis and Optimization
2 The Journal of Analysis
2 Journal of Mathematical Sciences (New York)
2 Positivity
2 Journal of Applied Mathematics
2 Journal of Applied Mathematics and Computing
2 Functional Analysis, Approximation and Computation
1 Communications in Algebra
1 Inverse Problems
1 Journal of Statistical Physics
1 Physics Letters. A
1 Ukrainian Mathematical Journal
1 Acta Mathematica Vietnamica
1 Advances in Mathematics
1 Calcolo
1 Czechoslovak Mathematical Journal
1 Journal of Computational and Applied Mathematics
1 Journal of the Korean Mathematical Society
1 Mathematische Nachrichten
1 Numerische Mathematik
1 Opsearch
1 Quaestiones Mathematicae
1 Results in Mathematics
1 Applied Mathematics Letters
1 SIAM Journal on Matrix Analysis and Applications
1 YUJOR. Yugoslav Journal of Operations Research
1 Aequationes Mathematicae
1 International Journal of Computer Mathematics
1 Journal of Mathematical Imaging and Vision
1 Filomat
1 Vietnam Journal of Mathematics
1 Taiwanese Journal of Mathematics
1 Stochastic Models
1 Foundations of Physics
1 Frontiers of Mathematics in China
1 Optimization Letters
1 Applicable Analysis and Discrete Mathematics
1 Banach Journal of Mathematical Analysis
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Dynamic Games and Applications
1 Numerical Algebra, Control and Optimization
1 Mathematics
1 AIMS Mathematics

Citations by Year