P. N. Shivakumar

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All published works

Action	Title	Year	Authors
+ PDF Chat	On Zeros of Polynomials and Infinite Series With Some Bounds	2023	P. N. Shivakumar Yang Zhang Ashish Kumar Gupta
+	Infinite Linear Programming	2016	P. N. Shivakumar K. C. ‎Sivakumar Yang Zhang
+	M-Matrices over Infinite Dimensional Spaces	2016	P. N. Shivakumar K. C. ‎Sivakumar Yang Zhang
+	Generalized Inverses: Real or Complex Field	2016	P. N. Shivakumar K. C. ‎Sivakumar Yang Zhang
+	Infinite Linear Equations	2016	P. N. Shivakumar K. C. ‎Sivakumar Yang Zhang
+	Finite Matrices and Their Nonsingularity	2016	P. N. Shivakumar K. C. ‎Sivakumar Yang Zhang
+	Generalized Inverses: Quaternions	2016	P. N. Shivakumar K. C. ‎Sivakumar Yang Zhang
+	Introduction	2016	P. N. Shivakumar K. C. ‎Sivakumar Yang Zhang
+	Asymptotic Expansion of Multiple Fourier Transforms	2015	P. N. Shivakumar R. Wong
+	Asymptotic Expansion of the Lebesgue Constants Associated With Polynomial Interpolation	2015	P. N. Shivakumar R. Wong
+	Eigenvalues for Innite Matrices, Their Computations and Applications	2015	P. N. Shivakumar
+ PDF Chat	Advances in Matrices, Finite and Infinite, with Applications	2013	P. N. Shivakumar Panayiotis Psarrakos K. C. ‎Sivakumar Yang Zhang
+	Recent Developments in Operator Theory and Its Applications: International Conference in Winnipeg, October 2-6, 1994	2011	Israel Gohberg Peter Lancaster P. N. Shivakumar
+	Shape of a drum, a constructive approach	2011	P. N. Shivakumar Yan Wu Yang Zhang
+	Shape of a drum, a constructive approach	2010	P. N. Shivakumar Yan Wu
+	A review of infinite matrices and their applications	2008	P. N. Shivakumar K. C. ‎Sivakumar
+	Eigenvalues of the Laplacian on an elliptic domain	2007	Yan Wu P. N. Shivakumar
+	On the eigenvalue problem <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si10.gif" display="inline" overflow="scroll"><mml:mo>−</mml:mo><mml:msup><mml:mrow><mml:mi>y</mml:mi></mml:mrow><mml:mrow><mml:mo>″</mml:mo></mml:mrow></mml:msup><mml:mo>+</mml:mo><mml:mi>f</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mi>y</mml:mi><mml:mo>=</mml:mo><mml:mi>λ</mml:mi><mml:mi>y</mml:mi></mml:math> on a semi infinite interval	2007	Issic K. C. Leung P. N. Shivakumar
+	Spectral decomposition of a finite-difference operator	2005	S. H. Lui P. N. Shivakumar
+	A mathematical model for the dynamics of HIV-1 during the typical course of infection	2001	Abba B. Gumel P. N. Shivakumar Beni M. Sahai
+ PDF Chat	Operator Theory and Its Applications	2000	A. G. Ramm P. N. Shivakumar Abraham Vilgelomovich Strauss
+	On the double points of a Mathieu equation	1999	P. N. Shivakumar Jungong Xue
+	Inequalities for the minimal eigenvalue of the Laplacian in an annulus	1999	А. Г. Рамм P. N. Shivakumar
+	On the nonsingularity of matrices with certain sign patterns	1998	P. N. Shivakumar Chuanxiang Ji
+	On the nonsingularity of matrices with certain sign patterns	1998	P. N. Shivakumar
+ PDF Chat	Inequalities for the minimal eigenvalue of the laplacian in an annulus	1998	А. Г. Рамм P. N. Shivakumar
+	Upper and lower bounds for inverse elements of finite and infinite tridiagonal matrices	1996	P. N. Shivakumar Chuanxiang Ji
+	An efficient finite difference method for two-point boundary value problems	1996	M. M. Chawla P. N. Shivakumar
+	Bounds for the Width of the Instability Intervals in the Mathieu Equation	1996	P. N. Shivakumar Qiang Ye
+	Recent Developments in Operator Theory and Its Applications	1996	Israel Gohberg Peter Lancaster P. N. Shivakumar
+	A symmetric finite difference method for computing eigenvalues of Sturm-Liouville problems	1993	M. M. Chawla P. N. Shivakumar
+	A fast parallel algorithm for the solution of tridiagonal linear systems	1992	M. M. Chawla Kalpdrum Passi P. N. Shivakumar
+	A recursive partitioning algorithm for inverting tridiagonal matrices	1990	M. M. Chawla Kalpdrum Passi P. N. Shivakumar
+	Numerov's method for non-linear two-point boundary value problems II. monotone approximations	1989	M. M. Chawla R. Subramanian P. N. Shivakumar
+	An iterative method with truncation for infinite linear systems	1988	P. N. Shivakumar J. J. Williams
+ PDF Chat	Error bounds for a uniform asymptotic expansion of the Legendre function 𝑃_{𝑛}^{-𝑚}(𝑐𝑜𝑠ℎ𝑧)	1988	P. N. Shivakumar R. Wong
+	An iterative method with for infinite linear systems truncation	1988	P. N. Shivakumar J. J. Williams
+	Eigenvalues for infinite matrices	1987	P. N. Shivakumar J. J. Williams N. Rudraiah
+	On the existence of solutions of a class of singular nonlinear two-point boundary value problems	1987	M. M. Chawla P. N. Shivakumar
+	A finite difference method for a class of two-point boundary value problems over a semi-infinite range	1986	M. M. Chawla P. N. Shivakumar
+	Numerov's method for non-linear two-point boundary value problems	1985	M. M. Chawla P. N. Shivakumar
+ PDF Chat	Asymptotic Expansion of the Lebesgue Constants Associated with Polynomial Interpolation	1982	P. N. Shivakumar R. Wong
+ PDF Chat	Asymptotic expansion of the Lebesgue constants associated with polynomial interpolation	1982	P. N. Shivakumar R. Wong
+	Error Bounds for the Truncation of Infinite Linear Differential Systems	1980	Kim Ho Chew P. N. Shivakumar J. J. Williams
+	On the conformal mapping of a circular disc with a curvilinear polygonal hole	1977	P. N. Shivakumar Kim Ho Chew
+ PDF Chat	Iterations for Diagonally Dominant Matrices	1976	P. N. Shivakumar K. H. Chew
+ PDF Chat	A Sufficient Condition for Nonvanishing of Determinants	1974	P. N. Shivakumar K. H. Chew
+ PDF Chat	A sufficient condition for nonvanishing of determinants	1974	P. N. Shivakumar K. H. Chew
+	A note on a paper by Milne-Thomson	1965	P. N. Shivakumar
+	DISLOCATIONS IN ISOTROPIC CYLINDERS OF ECCENTRIC CIRCULAR CROSS-SECTIONS	1963	P. N. Shivakumar

Common Coauthors

Coauthor	Papers Together
K. C. ‎Sivakumar	9
M. M. Chawla	8
Yang Zhang	5
K. H. Chew	5
J. J. Williams	4
Yan Wu	3
Yang Zhang	3
R. Wong	3
Kalpdrum Passi	2
А. Г. Рамм	2
R. Wong	2
Peter Lancaster	2
Chuanxiang Ji	2
Israel Gohberg	2
Abraham Vilgelomovich Strauss	1
A. G. Ramm	1
N. Rudraiah	1
Abba B. Gumel	1
Panayiotis Psarrakos	1
Ashish Kumar Gupta	1
R. Subramanian	1
Beni M. Sahai	1
Issic K. C. Leung	1
Yang Zhang	1
Yang Zhang	1
Qiang Ye	1
Jungong Xue	1
S. H. Lui	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Eigenvalues for infinite matrices	1987	P. N. Shivakumar J. J. Williams N. Rudraiah	13
+	Handbook of Mathematical Functions	1966	Donald A. McQuarrie	6
+	Note on bounds for determinants with dominant principal diagonal	1952	Alexander Ostrowski	6
+	Error Bounds for the Truncation of Infinite Linear Differential Systems	1980	Kim Ho Chew P. N. Shivakumar J. J. Williams	6
+ PDF Chat	A sufficient condition for nonvanishing of determinants	1974	P. N. Shivakumar K. H. Chew	5
+ PDF Chat	Inequalities for the minimal eigenvalue of the laplacian in an annulus	1998	А. Г. Рамм P. N. Shivakumar	5
+	An Introduction to Functional Analysis	2006	Angus E. Taylor P. J. Davis	4
+	Eigenvalues of the Laplacian on an elliptic domain	2007	Yan Wu P. N. Shivakumar	4
+	A Recurring Theorem on Determinants	1949	Olga Taussky	4
+ PDF Chat	Iterations for Diagonally Dominant Matrices	1976	P. N. Shivakumar K. H. Chew	4
+	A lower bound for the smallest singular value of a matrix	1975	J. M. Varah	4
+	An iterative method with truncation for infinite linear systems	1988	P. N. Shivakumar J. J. Williams	4
+ PDF Chat	Note on Bounds for Determinants with Dominant Principal Diagonal	1952	Alexander Ostrowski	3
+	Eigenvalues of the Laplacian in Two Dimensions	1984	J.R. Kuttler V. G. Sigillito	3
+	A review of infinite matrices and their applications	2008	P. N. Shivakumar K. C. ‎Sivakumar	3
+	Asymptotic solution of eigenvalue problems	1960	Joseph B. Keller S. I. Rubinow	3
+	Discrete Variable Methods in Ordinary Differential Equations.	1962	A. B. Farnell Peter Henrici	3
+	Approximations and Bounds for Eigenvalues of Elliptic Operators	1967	L. Fox Peter Henrici C Moler	3
+	Convergence of Matrix Iterations Subject to Diagonal Dominance	1973	K. R. James	3
+	Linear Programming in Infinite-Dimensional Spaces	1989	Gautam Appa Edward Anderson Peter Nash	3
+	On the nonsingularity of matrices with certain sign patterns	1998	P. N. Shivakumar Chuanxiang Ji	3
+	Introduction to Functional Analysis.	1959	Casper Goffman Amy E. Taylor	3
+ PDF Chat	On some conditions for nonvanishing of determinants	1961	Alexander Ostrowski	3
+	A Recurring Theorem on Determinants	1949	Olga Taussky	3
+	Table of Integrals, Series, and Products	1980		2
+	The boundedness of solutions of infinite systems of linear differential equations	1947	Richard Bellman	2
+	Approximate Methods of Higher Analysis	1960	A. S. Householder L. V. Kantorovich V. I. Krylov	2
+ PDF Chat	On series solutions of y ″ − f ( x ) y = 0 and applications	2013	Pappur N Shivakumar Yang Zhang	2
+	An Explicit Solution of a Special Class of Linear Programming Problems	1968	Adi Ben-Israel A. Charnes	2
+	Evaluation of Lebesgue Constants	1980	R. Günttner	2
+ PDF Chat	Accelerated overrelaxation method	1978	A. Hadjidimos	2
+	A Treatise on the Theory of Bessel Functions.	1923	Matthew Porter G. N. Watson	2
+ PDF Chat	On the theory of infinite systems of differential equations and their application to the theory of stochastic processes and the perturbation theory of quantum mechanics	1945	Niels Arley Vibeke Borchsenius	2
+	Some Numerical Experiments in the Theory of Polynomial Interpolation	1965	F. Luttmann T. J. Rivlin	2
+	Isospectral plane domains and surfaces via Riemannian orbifolds	1992	Carolyn S. Gordon David L. Webb Scott A. Wolpert	2
+	On the double points of a Mathieu equation	1999	P. N. Shivakumar Jungong Xue	2
+	Semi-Infinite Programming: Theory, Methods, and Applications	1993	R. Hettich K. O. Kortanek	2
+	On the Mathematical Foundations of Nondifferentiable Optimization in Engineering Design	1987	E. Polak	2
+	Infinite Matrices and Sequence Spaces	1951	P. Vermes Richard G. Cooke	2
+	Asymptotics and Special Functions	1997	F. W. J. Olver	2
+	A Finite-difference Method for a Class of Singular Two-point Boundary-value Problems	1984	M. M. Chawla C. P. Katti	2
+	Quaternions and matrices of quaternions	1997	Fuzhen Zhang	2
+ PDF Chat	Note on irreducible diagonally dominant matrices and the convergence of the AOR iterative method	1981	M. Madalena Martins	2
+ PDF Chat	Perturbation Theory for Linear Operators	1995	Tosio Kato	2
+	Moore–Penrose inverse of an invertible infinite matrix	2005	K. C. ‎Sivakumar	2
+	The Numerical Solution of Two-Point Boundary Problems in Ordinary Differential Equations.	1959	Peter Henrici L. Fox	2
+ PDF Chat	Strong forms of nonsingularity	1992	John H. Drew Charles R. Johnson P. van den Driessche	2
+	The principle of extrapolation in connection with the accelerated overrelaxation method	1980	A. Hadjidimos A. Yeyios	2
+	Solutions for infinite-matrix differential equations	1973	Leonard Shaw	2
+	A Sharp Bound for the Ratio of the First Two Eigenvalues of Dirichlet Laplacians and Extensions	1992	Mark S. Ashbaugh Rafael D. Benguria	2