# zbMATH — the first resource for mathematics

## Vandergraft, James S.

Compute Distance To:
 Author ID: vandergraft.james-s Published as: Vandergraft, J. S.; Vandergraft, James S.
 Documents Indexed: 15 Publications since 1967, including 2 Books
all top 5

#### Co-Authors

 9 single-authored 4 Rheinboldt, Werner C. 1 Belzer, Mitchell R. 1 Bierman, Gerald J. 1 O’Leary, Dianne P. 1 Porter, David W. 1 Stewart, Gilbert Wright
all top 5

#### Serials

 4 SIAM Journal on Numerical Analysis 2 Mathematics of Computation 2 Linear Algebra and its Applications 2 SIAM Journal on Applied Mathematics 1 IEEE Transactions on Automatic Control 1 Management Science
all top 5

#### Fields

 9 Numerical analysis (65-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

14 Publications have been cited 273 times in 251 Documents Cited by Year
Spectral properties of matrices which have invariant cones. Zbl 0186.05701
Vandergraft, J. S.
1968
Newton’s method for convex operators in partially ordered spaces. Zbl 0161.35302
Vandergraft, J. S.
1967
A simple approach to the Perron-Frobenius theory for positive operators on general partially-ordered finite-dimensional linear spaces. Zbl 0255.15017
Rheinboldt, Werner C.; Vandergraft, James S.
1973
Applications of partial orderings to the study of positive definiteness, monotonicity and convergence of iterative methods for linear systems. Zbl 0204.48201
Vandergraft, J. S.
1972
Maximum likelihood estimation using square root information filters. Zbl 0723.93071
Bierman, Gerald J.; Belzer, Mitchell R.; Vandergraft, James S.; Porter, David W.
1990
Estimating the largest eigenvalue of a positive definite matrix. Zbl 0435.65026
O’Leary, Dianne P.; Stewart, G. W.; Vandergraft, James S.
1979
Applications of partial orderings to the study of positive definiteness, monotonicity, and convergence of iterative methods for linear systems. Zbl 0234.65041
Vandergraft, James S.
1972
Introduction to numerical computations. Zbl 0462.65002
Vandergraft, James S.
1978
On piecewise affine mappings in $$R^n$$. Zbl 0322.65028
Rheinboldt, Werner C.; Vandergraft, James S.
1975
Introduction to numerical computations. 2nd ed. Zbl 0547.65002
Vandergraft, James S.
1983
A note on irreducibility for linear operators on partially ordered finite dimensional vector spaces. Zbl 0321.15009
Vandergraft, James S.
1976
On the local convergence of update methods. Zbl 0288.65029
Rheinboldt, Werner C.; Vandergraft, James S.
1974
Generalized Rayleigh methods with applications to finding eigenvalues of large matrices. Zbl 0222.65047
Vandergraft, James S.
1971
A fluid flow model of networks of queues. Zbl 0523.60087
Vandergraft, James S.
1983
Maximum likelihood estimation using square root information filters. Zbl 0723.93071
Bierman, Gerald J.; Belzer, Mitchell R.; Vandergraft, James S.; Porter, David W.
1990
Introduction to numerical computations. 2nd ed. Zbl 0547.65002
Vandergraft, James S.
1983
A fluid flow model of networks of queues. Zbl 0523.60087
Vandergraft, James S.
1983
Estimating the largest eigenvalue of a positive definite matrix. Zbl 0435.65026
O’Leary, Dianne P.; Stewart, G. W.; Vandergraft, James S.
1979
Introduction to numerical computations. Zbl 0462.65002
Vandergraft, James S.
1978
A note on irreducibility for linear operators on partially ordered finite dimensional vector spaces. Zbl 0321.15009
Vandergraft, James S.
1976
On piecewise affine mappings in $$R^n$$. Zbl 0322.65028
Rheinboldt, Werner C.; Vandergraft, James S.
1975
On the local convergence of update methods. Zbl 0288.65029
Rheinboldt, Werner C.; Vandergraft, James S.
1974
A simple approach to the Perron-Frobenius theory for positive operators on general partially-ordered finite-dimensional linear spaces. Zbl 0255.15017
Rheinboldt, Werner C.; Vandergraft, James S.
1973
Applications of partial orderings to the study of positive definiteness, monotonicity and convergence of iterative methods for linear systems. Zbl 0204.48201
Vandergraft, J. S.
1972
Applications of partial orderings to the study of positive definiteness, monotonicity, and convergence of iterative methods for linear systems. Zbl 0234.65041
Vandergraft, James S.
1972
Generalized Rayleigh methods with applications to finding eigenvalues of large matrices. Zbl 0222.65047
Vandergraft, James S.
1971
Spectral properties of matrices which have invariant cones. Zbl 0186.05701
Vandergraft, J. S.
1968
Newton’s method for convex operators in partially ordered spaces. Zbl 0161.35302
Vandergraft, J. S.
1967
all top 5

#### Cited by 297 Authors

 16 Radenovic, Stojan 13 Kadelburg, Zoran 9 Kulikova, Maria V. 8 Argyros, Ioannis Konstantinos 8 Neumann, Michael 7 Barker, George Phillip 6 Tsyganova, Yuliya Vladimirovna 5 Marek, Ivo 5 Schmidt, Jochen Wilhelm 5 Schneider, Hans 5 Song, Yongzhong 4 Berman, Abraham S. 4 Burgat, Christian 4 Elsner, Ludwig F. 4 Guglielmi, Nicola 4 Sintunavarat, Wutiphol 4 Stern, Ronald Jay 4 Szyld, Daniel B. 4 Tarbouriech, Sophie 4 Wei, Yimin 4 Zennaro, Marino 3 Keeler, Dennis Shawn 3 Kulikov, Gennady Yur’evich 3 Kumam, Poom 3 Milaszewicz, Juan Pedro 3 Plemmons, Robert James 3 Potra, Florian-Alexandru 3 Protasov, Vladimir Yu. 3 Rakočević, Vladimir 3 Rothblum, Uriel George 3 Samet, Bessem 3 Schneider, Norbert 3 Wolkowicz, Henry 3 Wu, Hebing 2 Abbas, Mujahid 2 Ahmad, Abd Ghafur Bin 2 Aydi, Hassen 2 Benzaouia, Abdellah 2 Brundu, Michela 2 Cao, Zhihao 2 Ćirić, Ljubomir B. 2 Damm, Tobias 2 De Leenheer, Patrick 2 Fadail, Zaid Mohammed 2 Fiedler, Miroslav 2 Frommer, Andreas 2 Hinrichsen, Diederich 2 Horváth, Zoltán 2 Jamiołkowski, Andrzej 2 Karapınar, Erdal 2 Kuhn, Maria Gabriella 2 Lin, Lijing 2 Mandelbaum, Avi 2 Martin, Clyde Franklin 2 Mohapatra, Anushaya 2 Ogura, Masaki 2 Parlett, Beresford Neill 2 Ralph, Daniel 2 Rheinboldt, Werner C. 2 Song, Yunfei 2 Steger, Tim 2 Takane, Martha 2 Tam, Bit-Shun 2 Terlaky, Tamás 2 Tewarson, Reginald P. 2 Turner, Robert E. L. 2 Vandergraft, James S. 2 Vetro, Francesca 2 Ward, Robert C. 2 Woafo, Paul 2 Wolfe, Michael A. 1 Abusalim, Sahar Mohammad 1 Agarwal, Ravi P. 1 Al-Homidan, Suliman S. 1 Al-Mezel, Saleh Abdullah Rasheed 1 Al-Rawashdeh, Ahmed S. 1 Alefeld, Götz E. 1 Alsulami, Hamed Hamdan 1 Amore, Paolo 1 Angeli, David 1 Aranđelović, Ivan D. 1 Arav, Marina 1 Baker, George Phillip 1 Balakrishnan, Hamsa 1 Banaji, Murad 1 Baranyai, Tamás 1 Beauwens, Robert 1 Beaver, P. 1 Bellissard, Jean V. 1 Benvenuti, Luca 1 Best, Michael J. 1 Bini, Dario Andrea 1 Bitsoris, Georges 1 Bliman, Pierre-Alexandre 1 Bohl, Erich 1 Bru, Rafael 1 Bui, Thang D. 1 Buraczewski, Dariusz 1 Burbanks, Andrew D. 1 Burmeister, Wolfgang ...and 197 more Authors
all top 5

#### Cited in 98 Serials

 60 Linear Algebra and its Applications 12 Numerische Mathematik 9 Computing 9 Fixed Point Theory and Applications 8 Applied Mathematics and Computation 8 Journal of Computational and Applied Mathematics 6 Computers & Mathematics with Applications 6 Numerical Functional Analysis and Optimization 5 Journal of Mathematical Analysis and Applications 5 Automation and Remote Control 4 International Journal of Systems Science 4 International Journal of Computer Mathematics 3 Linear and Multilinear Algebra 3 Mathematics of Computation 3 Mathematical Programming 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Systems & Control Letters 3 SIAM Journal on Algebraic and Discrete Methods 3 Applied Mathematics Letters 3 Mathematical and Computer Modelling 3 Abstract and Applied Analysis 2 Applicable Analysis 2 Archive for Rational Mechanics and Analysis 2 Archiv der Mathematik 2 Calcolo 2 Czechoslovak Mathematical Journal 2 Journal of Algebra 2 Transactions of the American Mathematical Society 2 SIAM Journal on Matrix Analysis and Applications 2 Journal of Difference Equations and Applications 2 Positivity 2 Foundations of Computational Mathematics 1 Bulletin of the Australian Mathematical Society 1 Communications in Algebra 1 International Journal of Control 1 Israel Journal of Mathematics 1 Journal of Mathematical Physics 1 Periodica Mathematica Hungarica 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Aplikace Matematiky 1 Automatica 1 BIT 1 Dissertationes Mathematicae 1 International Journal of Mathematics and Mathematical Sciences 1 Integral Equations and Operator Theory 1 Journal of Computer and System Sciences 1 Journal of Functional Analysis 1 Journal of Optimization Theory and Applications 1 Journal of Soviet Mathematics 1 Mathematische Annalen 1 Mathematics and Computers in Simulation 1 Mathematical Systems Theory 1 Mathematische Zeitschrift 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the American Mathematical Society 1 Ergodic Theory and Dynamical Systems 1 Physica D 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of Complexity 1 Computers & Operations Research 1 Journal of the American Mathematical Society 1 Queueing Systems 1 International Journal of Adaptive Control and Signal Processing 1 The Annals of Applied Probability 1 Computational Mathematics and Mathematical Physics 1 Bulletin of the American Mathematical Society. New Series 1 Computational Statistics and Data Analysis 1 Mathematical Programming. Series A. Series B 1 SIAM Journal on Scientific Computing 1 The Journal of Analysis 1 Applied and Computational Harmonic Analysis 1 Computational and Applied Mathematics 1 Journal of Convex Analysis 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Discrete and Continuous Dynamical Systems 1 ELA. The Electronic Journal of Linear Algebra 1 European Journal of Control 1 Nonlinear Dynamics 1 Vietnam Journal of Mathematics 1 Mathematical Methods of Operations Research 1 Journal of Inequalities and Applications 1 Mathematica Moravica 1 Journal of Applied Statistics 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Applied Mathematics 1 International Journal of Geometric Methods in Modern Physics 1 International Journal of Quantum Information 1 Mediterranean Journal of Mathematics 1 Cubo 1 Bulletin of the American Mathematical Society 1 Journal of Fixed Point Theory and Applications 1 Journal of Physics A: Mathematical and Theoretical 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Journal of Theoretical Biology 1 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 1 Nonlinear Analysis. Theory, Methods & Applications
all top 5

#### Cited in 38 Fields

 97 Numerical analysis (65-XX) 76 Linear and multilinear algebra; matrix theory (15-XX) 48 Operator theory (47-XX) 36 General topology (54-XX) 30 Systems theory; control (93-XX) 18 Operations research, mathematical programming (90-XX) 10 Ordinary differential equations (34-XX) 10 Functional analysis (46-XX) 10 Probability theory and stochastic processes (60-XX) 8 Order, lattices, ordered algebraic structures (06-XX) 8 Convex and discrete geometry (52-XX) 7 Associative rings and algebras (16-XX) 4 Algebraic geometry (14-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Computer science (68-XX) 4 Mechanics of particles and systems (70-XX) 4 Quantum theory (81-XX) 3 Partial differential equations (35-XX) 3 Approximations and expansions (41-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Mechanics of deformable solids (74-XX) 3 Information and communication theory, circuits (94-XX) 2 Combinatorics (05-XX) 2 Field theory and polynomials (12-XX) 2 Nonassociative rings and algebras (17-XX) 2 Group theory and generalizations (20-XX) 2 Topological groups, Lie groups (22-XX) 2 Abstract harmonic analysis (43-XX) 2 Statistics (62-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Manifolds and cell complexes (57-XX) 1 Fluid mechanics (76-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)