Papers in Journals/Proceedings
Research Papers in Journals
Algebraic Analysis
- Blaschke products for finite Riemann surfaces, Studia Mathematica (Poland), 34 (1970), 169-176.
- On the inner parts of certain analytic functions, Annales Polonici Mathematici (Poland), 26 (1972), 295-304.
- Ideal theory on non-orientable Klein surfaces, Arkiv fur Matematic
(Sweeden), 10 (1972), 277-293 (with N.L. Alling).
- Ahlfors functions on triply connected domains, J. Indian
Math. Soc. (India), 37 (1973), 125-135.
- Deficiencies of certain real
uniform algebras, Canadian J.
Math. (Canada), 27 (1975), 121-132 (with R.R. Simha).
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Boundaries for real Banach
algebras, Canadian J. Math.
(Canada), 28 (1976), 42-49.
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Gelfand-Naimark theorems for real Banach
*algebras, Math. Japonica
(Japan), 25 (1980), 545-558 (with S.H. Kulkarni).
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Gleason parts of real function
algebras, Canadian J. Math.
(Canada), 33 (1981), 181-200 (with S.H. Kulkarni).
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The spectral mapping theorem for
real Banach algebras, Houston J.
Math. (U.S.A.), 7 (1981), 507-517, (with S.H. Kulkarni).
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Maximal ideal space and Silov
boundary of the tensor product of real Banach algebras, Glasnik Matematicki (Croatia), 17 (1982),
277-283 (with R.D. Mehta and M.H. Vasavada).
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A topological characterization of
Gleason parts of real function algebras, Canadian Math. Bull. (Canada), 26 (1983), 44-49 (with S.H.
Kulkarni).
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Isometry of an analytic map onto a
Gleason part, Glasnik
Matematicki (Croatia), 21 (1986), 353-356 (with S.H. Kulkarni).
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Extreme points of the unit ball in
the dual spaces of some real subspaces of C(X), Glasnik Matematicki (Croatia), 29 (1994),
333-340 (with S.H. Kulkarni).
-
Boundaries and Choquet sets for
real subspaces of C(X),
Math. Japonica (Japan), 51 (2000), 199-212 (with S.H.
Kulkarni).
-
A geometric approach to saddle points
, Austral. Math. Soc. Gaz. (Australia), 36 (2009), 127-136
(with S.R. Ghorpade).
-
On the Pringsheim convergence of double series, Proc. Estonian Acad. Sc.
(Estonia), 58 (2009), 108-121 (with M. Zeltser).
Projective Geometry
-
The fundamental theorem for the
projective line over commutative rings, Acquationes Mathematicae (Canada), 13, (1977), 275-281
(with N.B. Limaye).
-
Fundamental theorem for the
projective line over non-commutative local rings, Archive der Mathematik (Germany), 28 (1977),
102-109 (with N.B. Limaye).
-
On partial designs and m-uniform
projective Hjelmslev planes, J. Combinatorics, Information and System Sciences (India), 3
(1978), 223-237 (with S.S. Sane).
Positive Approximation
-
Korovkin's theorem for positive
functionals on *normed algebras,
J. Indian Math. Soc. (India), 40 (1976), 163-172 (with S.D. Shirali).
-
Approximation by positive
functionals, J. Indian Math.
Soc. (India), 43 (1979), 195-202 (with M.N. Namboodiri).
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Korovkin-type approximation on
C*-algebras, J. Approximation
Theory (U.S.A.), 34 (1982), 237-246 (with M.N. Namboodiri).
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A generalized noncommutative
Korovkin theorem and *-closedness of certain sets of convergence, Illinois J. Math. (U.S.A.), 28 (1984),
267-280, (with M.N. Namboodiri).
-
Weak Korovkin approximation by
completely positive linear maps on \beta (H), J. Approximation Theory (U.S.A.), 42 (1984), p.
202-211 (with M.N. Namboodiri).
-
Weak approximation by positive
maps on C*-algebras,
Mathematica Slovaca (Slovakia), 36 (1986), 91-99 (with M.N.
Namboodiri).
Approximate Solutions of Eigenvalue Problems and Operator Equations
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On error bounds in strong
approximation for eigenvalue problems, J. Australian Math. Soc. Series B (Australia), 22 (1981), 270-283
(with R.P. Kulkarni).
-
On the steps of convergence of
approximate eigenvectors in the Rayleigh-Schrodinger series, Numerische Mathematik (Germany), 42
(1983),
31-50 (with R.P. Kulkarni).
-
Geometric and semigeometric approximation
of spectral projections, J.
Math. Analysis and Applications (U.S.A), 101 (1984), p.139-159 (with R.P.
Kulkarni).
-
Localization of a simple
eigenvalue and a corresponding eigenvector, Houston J. Math. (U.S.A.), 17 (1987), 129-141
(with M.T. Nair).
-
On the accuracy of the
Rayleigh-Schrodinger approximations, J. Math. Analysis and Applications (U.S.A.),
138 (1989), 413-431 (with M.T. Nair).
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On the error estimates for the
Rayleigh-Schrodinger series and the Kato-Rellich Perturbation
series, J. Australian Math.
Soc. Series B (Australia), 46 (1989), 456-468 (with R.P. Kulkarni).
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A fixed point technique to refine
a simple approximate eigenvalue and a corresponding eigenvector, Numer. Funct. Anal. and Optimiz. (U.S.A.), 10
(1989), 909-921 (with L.N. Deshpande).
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Solution of a Schrodinger
equation by iterative refinement,
J. Australian Math. Soc. Series B (Australia), 32 (1990), 115-132 (with
R.P. Kulkarni).
-
Eigenelements of perturbed
operators, J. Australian Math.
Soc. Series A (Australia), 49 (1990), 138-148 (with M.T. Nair).
-
A note on iterative refinement
schemes for Sylvester operator equations, Appl. Math. Lett. (U.S.A.), 6 (1993) 83-86 (with M. Ahues and A.
Largillier).
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Boundedness of adjoint bases of approximate
spectral subspaces and of associated block reduced resolvents, Numer. Funct. Anal. and Optimiz. (U.S.A.), 17
(1996), 473-502 (with R. Alam and R.P. Kulkarni).
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Accelerated spectral approximation, Math. Comp. (U.S.A.), 67 (1998), 1401-1422
(with R. Alam and R.P. Kulkarni).
-
Accelerated spectral refinement,
Part I: Simple eigenvalue,
J. Australian Math. Soc. Series B (Australia), 41 (2000), 487-507
(with R. Alam and R.P. Kulkarni).
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Accelerated spectral refinement,
Part II: Cluster of eigenvalues,
ANZIAM J. (Australia), 42 (2000), 224-243
(with R. Alam and R.P. Kulkarni).
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Computation of spectral subspaces for weakly singular integral operators,
Numer. Funct. Anal. and Optimiz. (U.S.A.), 25 (2004), 1-14
(with M. Ahues).
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A singularity subtraction iterative refinement scheme for spectral subspaces of weakly
singular operators,
J. Analysis (India), 16 (2006), 111-133 (with M. Ahues and A.
Largillier).
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Uniformly conditioned bases of spectral
subspaces,
Numer. Funct. Anal. and Optimiz.
(U.S.A.), 34 (2013), 180-206.
Linear Algebra
-
On the stability of singular
finite-rank methods, SIAM J.
Numer. Anal. (U.S.A.), 27 (1990), 792-803 (with L.N. Deshpande).
-
On a spectral characterization of
rank one matrices, Lin. Alg.
and Appl. (U.S.A.), 143 (1991), 1-6 (with H. Deguang).
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A spectral characterization of
operators having rank k, Lin.
Alg. and Appl. (U.S.A.), 143 (1991), 57-66.
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On the multiplicities and the ascent
of an eigenvalue of a linear map,
Math. Student (India), 64 (1995), 162-166 (with M.T. Nair).
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Finite-rank methods and their
stability for coupled systems of operator equations, SIAM
J. Numer. Anal. (U.S.A.), 33 (1996),
707-728 (with A. Largillier).
-
On error bounds for eigenvalues of
a matrix pencil, Lin. Alg. and
Appl. (U.S.A.), 268 (1998), 71-89 (with M. Ahues).
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Sylvester's minorant criterion, Lagrange-Beltrami
identity, and nonnegative definiteness, Math.
Student (India), Special Centenary Volume (2007), 123-130 (with S.R.
Ghorpade).
-
Matrix formulation for infinite-rank operators,
Operators and Matrices (Croatia), 6 (2012), 357-370.
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On condition numbers of a basis,
Lin. Alg. and Appl. (U.S.A.), 439 (2013), 3359-3377 (with
M. Ahues). (Listed among the Top 25 Hottest Articles in Lin. Alg. and
Appl. during October-November 2013)
Papers in Proceedings
-
Non-complex methods in the theory
of real Banach algebras, Math.
Student (India), 46 (1978), 49-53.
-
Numerical approximation of
eigenvalues and eigenvectors, in Proceedings of the International
Symposium on `Modern Analysis and its Applications', held at I.I.T. Delhi in 1983, Prentice-Hall of
India, New Delhi, 1986, 335-349.
-
Localization results for
eigenelements, in Proceedings of the International Symposium on `Modern
Analysis and its Applications',
held at I.I.T. Delhi in 1983, Prentice-Hall of India, New Delhi, 1986,
161-178 (with M.T. Nair).
-
Rayleigh-Schrodinger
procedure for iterative refinement of computed eigenelements under strong
approximation, in Proceedings of the International Conference on `Methods
of Functional Analysis in Approximation Theory', held at I.I.T. Bombay in 1985, Birkhauser
Verlag, Basel, 1986, 371-388 (with M.T. Nair).
-
Spectral approximation, Math. Student (India), 65 (1996), 36-44.
-
The \ell_1 and \ell_infty
solutions for an overdetermined system, Tubinger Berichte (Germany), 3 (1996), 211-226 (with A.
Largillier).
- Spectral approximation for compact integral
operators, in Proceedings of
the Seventh International Conference on `Integral Methods in Science and
Engineering: Analytic and Numerical Techniques', held at Universite
Jean Monnet, St. Etienne (France) in 2002, Birkhauser, Boston,
2003, 115-122.
-
On acceleration of spectral computations for integral operators with
weakly singular kernels, in Proceedings of the
Ninth
International Conference on `Integral Methods in Science and Engineering:
Techniques and Applications', held at Niagara Falls (Canada) in 2006,
Birkhauser, Boston, 2007, 9-16 (with
M. Ahues and A. Largillier).
-
Operator approximation, in Proceedings of the International Conference
on `Semigroups, Algebras and Operator
Theory', held at Cochin
University of Science and Technology, Kochi (India) in 2014,
Springer Proceedings
in Mathematics and Statistics, Vol 142, Springer India 2015, 135-147.