# zbMATH — the first resource for mathematics

## Ward, Robert C.

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 Author ID: ward.robert-c Published as: Ward, R.; Ward, R. C.; Ward, Robert; Ward, Robert C.
 Documents Indexed: 30 Publications since 1975
all top 5

#### Co-Authors

 5 single-authored 5 Heath, Michael T. 3 Bai, Yihua 3 Gansterer, Wilfried N. 3 Scott, David S. 2 Berman, Abraham S. 2 Laub, Alan J. 2 Muller, Richard P. 2 Paige, Chris C. 2 Plemmons, Robert James 1 Berry, Michael W. 1 Goddard, William A. III 1 Kaneko, Ikuyo 1 Lawo, M.
all top 5

#### Serials

 4 SIAM Journal on Scientific and Statistical Computing 3 ACM Transactions on Mathematical Software 2 SIAM Journal on Numerical Analysis 2 Linear Algebra and its Applications 1 Mathematics of Computation 1 IEEE Transactions on Automatic Control 1 Numerische Mathematik 1 Journal of Parallel and Distributed Computing 1 SIAM Journal on Scientific Computing 1 Bulletin of the American Mathematical Society

#### Fields

 18 Numerical analysis (65-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 2 Mechanics of deformable solids (74-XX) 2 Systems theory; control (93-XX) 1 Computer science (68-XX)

#### Citations contained in zbMATH

23 Publications have been cited 280 times in 249 Documents Cited by Year
Computation of system balancing transformations and other applications of simultaneous diagonalization algorithms. Zbl 0624.93025
Laub, Alan J.; Heath, Michael T.; Paige, Chris C.; Ward, Robert C.
1987
Numerical computation of the matrix exponential with accuracy estimate. Zbl 0363.65031
Ward, Robert C.
1977
Computing the singular value decomposition of a product of two matrices. Zbl 0607.65013
Heath, M. T.; Laub, A. J.; Paige, C. C.; Ward, R. C.
1986
An algorithm to compute a sparse basis of the null space. Zbl 0548.65024
Berry, M. W.; Heath, M. T.; Kaneko, I.; Lawo, M.; Plemmons, R. J.; Ward, R. C.
1985
Sparse orthogonal schemes for structural optimization using the force method. Zbl 0575.65031
Heath, M. T.; Plemmons, R. J.; Ward, R. C.
1984
$$\mathcal A\mathcal L\wp\mathcal S$$: Matrices with nonpositive off-diagonal entries. Zbl 0401.15018
Berman, A.; Varga, R. S.; Ward, R. C.
1978
Classes of stable and semipositive matrices. Zbl 0386.15015
Berman, Abraham; Ward, Robert C.
1978
The combination shift QZ algorithm. Zbl 0342.65022
Ward, Robert C.
1975
Balancing the generalized eigenvalue problem. Zbl 0473.65016
Ward, Robert C.
1981
Computing approximate eigenpairs of symmetric block tridiagonal matrices. Zbl 1038.65031
Gansterer, Wilfried N.; Ward, Robert C.; Muller, Richard P.; Goddard, William A. III
2003
The QR algorithm and Hyman’s method on vector computers. Zbl 0328.65023
Ward, Robert C.
1976
Solving symmetric-definite quadratic lambda-matrix problems without factorization. Zbl 0477.65026
Scott, David S.; Ward, Robert C.
1982
A parallel symmetric block-tridiagonal divide-and-conquer algorithm. Zbl 1365.65090
Bai, Yihua; Ward, Robert C.
2007
Eigensystem computation for skew-symmetric matrices and a class of symmetric matrices. Zbl 0384.65014
Ward, R. C.; Gray, L. J.
1978
Stability and semipositivity of real matrices. Zbl 0352.15010
Berman, Abraham; Ward, Robert C.
1977
Wave propagation in two-dimensional anisotropic acoustic metamaterials of K4 topology. Zbl 07064119
Fallah, A. S.; Yang, Y.; Ward, R.; Tootkaboni, M.; Brambleby, R.; Louhghalam, A.; Louca, L. A.
2015
Block tridiagonalization of “effectively” sparse symmetric matrices. Zbl 1073.65027
Bai, Yihua; Gansterer, Wilfried N.; Ward, Robert C.
2004
An extension of the divide-and-conquer method for a class of symmetric block-tridiagonal eigenproblems. Zbl 1072.65050
Gansterer, Wilfried N.; Ward, Robert C.; Muller, Richard P.
2002
Parallel block Jacobi eigenvalue algorithms using systolic arrays. Zbl 0615.65044
Scott, David S.; Heath, Michael T.; Ward, Robert C.
1986
Parallel block tridiagonalization of real symmetric matrices. Zbl 1243.65174
Bai, Yihua; Ward, Robert C.
2008
Cognitive conflict without explicit conflict monitoring in a dynamical agent. Zbl 1266.91084
Ward, Robert; Ward, Ronnie
2006
Male unemployment and crime in England and Wales. Zbl 0988.91066
Carmichael, Fiona; Ward, Robert
2001
Assessment of linear dependencies in multivariate data. Zbl 0586.62087
Kane, V. E.; Ward, R. C.; Davis, G. J.
1985
Wave propagation in two-dimensional anisotropic acoustic metamaterials of K4 topology. Zbl 07064119
Fallah, A. S.; Yang, Y.; Ward, R.; Tootkaboni, M.; Brambleby, R.; Louhghalam, A.; Louca, L. A.
2015
Parallel block tridiagonalization of real symmetric matrices. Zbl 1243.65174
Bai, Yihua; Ward, Robert C.
2008
A parallel symmetric block-tridiagonal divide-and-conquer algorithm. Zbl 1365.65090
Bai, Yihua; Ward, Robert C.
2007
Cognitive conflict without explicit conflict monitoring in a dynamical agent. Zbl 1266.91084
Ward, Robert; Ward, Ronnie
2006
Block tridiagonalization of “effectively” sparse symmetric matrices. Zbl 1073.65027
Bai, Yihua; Gansterer, Wilfried N.; Ward, Robert C.
2004
Computing approximate eigenpairs of symmetric block tridiagonal matrices. Zbl 1038.65031
Gansterer, Wilfried N.; Ward, Robert C.; Muller, Richard P.; Goddard, William A. III
2003
An extension of the divide-and-conquer method for a class of symmetric block-tridiagonal eigenproblems. Zbl 1072.65050
Gansterer, Wilfried N.; Ward, Robert C.; Muller, Richard P.
2002
Male unemployment and crime in England and Wales. Zbl 0988.91066
Carmichael, Fiona; Ward, Robert
2001
Computation of system balancing transformations and other applications of simultaneous diagonalization algorithms. Zbl 0624.93025
Laub, Alan J.; Heath, Michael T.; Paige, Chris C.; Ward, Robert C.
1987
Computing the singular value decomposition of a product of two matrices. Zbl 0607.65013
Heath, M. T.; Laub, A. J.; Paige, C. C.; Ward, R. C.
1986
Parallel block Jacobi eigenvalue algorithms using systolic arrays. Zbl 0615.65044
Scott, David S.; Heath, Michael T.; Ward, Robert C.
1986
An algorithm to compute a sparse basis of the null space. Zbl 0548.65024
Berry, M. W.; Heath, M. T.; Kaneko, I.; Lawo, M.; Plemmons, R. J.; Ward, R. C.
1985
Assessment of linear dependencies in multivariate data. Zbl 0586.62087
Kane, V. E.; Ward, R. C.; Davis, G. J.
1985
Sparse orthogonal schemes for structural optimization using the force method. Zbl 0575.65031
Heath, M. T.; Plemmons, R. J.; Ward, R. C.
1984
Solving symmetric-definite quadratic lambda-matrix problems without factorization. Zbl 0477.65026
Scott, David S.; Ward, Robert C.
1982
Balancing the generalized eigenvalue problem. Zbl 0473.65016
Ward, Robert C.
1981
$$\mathcal A\mathcal L\wp\mathcal S$$: Matrices with nonpositive off-diagonal entries. Zbl 0401.15018
Berman, A.; Varga, R. S.; Ward, R. C.
1978
Classes of stable and semipositive matrices. Zbl 0386.15015
Berman, Abraham; Ward, Robert C.
1978
Eigensystem computation for skew-symmetric matrices and a class of symmetric matrices. Zbl 0384.65014
Ward, R. C.; Gray, L. J.
1978
Numerical computation of the matrix exponential with accuracy estimate. Zbl 0363.65031
Ward, Robert C.
1977
Stability and semipositivity of real matrices. Zbl 0352.15010
Berman, Abraham; Ward, Robert C.
1977
The QR algorithm and Hyman’s method on vector computers. Zbl 0328.65023
Ward, Robert C.
1976
The combination shift QZ algorithm. Zbl 0342.65022
Ward, Robert C.
1975
all top 5

#### Cited by 402 Authors

 8 Hershkowitz, Daniel 6 Benner, Peter 6 Stykel, Tatjana 6 Van Dooren, Paul M. 5 Plemmons, Robert James 5 Wei, Musheng 4 De Moor, Bart L. R. 4 Hall, Charles Allan 4 He, ZhuoHeng 4 Shaker, Hamid Reza 3 Bentbib, Abdeslem Hafid 3 Berman, Abraham S. 3 Defez, Emilio 3 Dongarra, Jack J. 3 Kaveh, Ali 3 Pothen, Alex 3 Saak, Jens 3 Schneider, Hans 3 Wang, Qingwen 3 Ward, Robert C. 3 Ye, Xiu 3 Zha, Hongyuan 2 Al-Saggaf, Ubaid Muhsen 2 Aldhaheri, Rabah W. 2 Aliev, Fikret Akhmedalioglu 2 Ao, Jijun 2 Bagheri, Shervin 2 Bai, Zhaojun 2 Benzi, Michele 2 Berry, Michael W. 2 Bojanczyk, Adam W. 2 Byers, Ralph 2 Charlier, J.-P. 2 Chellaboina, Vijaysekhar 2 Codenotti, Bruno 2 Coleman, Thomas F. 2 Dieci, Luca 2 Dorsey, Jonathan 2 Fassino, Claudia 2 Gannon, Tom 2 Gilbert, John R. 2 Haddad, Wassim Michael 2 Heath, Michael T. 2 Ibáñez González, Jacinto Javier 2 Jbilou, Khalide 2 Jia, Zhigang 2 Johnson, Charles Royal 2 Koohestani, K. 2 Kublanovskaya, Vera Nikolaevna 2 Larin, Vladimir Borisovich 2 Laub, Alan J. 2 Lin, Yiqin 2 Neumann, Michael 2 Petkov, Petko Hr. 2 Rheinboldt, Werner C. 2 Rowley, Clarence W. 2 Ruiz, Pedro A. 2 Rydel, Marek 2 Sastre, Jorge 2 Schneid, Josef 2 Shasha, Dafna 2 Shieh, Leang-San 2 Sorensen, Danny C. 2 Sun, Jiong 2 Tahavori, Maryamsadat 2 Tsai, Jason Sheng-Hong 2 Turnansky, Morrison 2 Vandebril, Raf 2 Varga, Richard Steven 2 Wisniewski, Rafael 2 Xue, Jungong 2 Ye, Qiang 2 Zhang, Yang 1 Abbasi, Taufeeq Ur Rehman 1 Acha, Enrique 1 Ades, R. 1 Adhikari, Sondipon 1 Adlerborn, Björn 1 Afshar, Sepideh 1 Agudelo, Oscar Mauricio 1 Amindavar, Hamidreza 1 Anderson, Edward 1 Anderson, Gary S. 1 Angeles, Jorge 1 Ansary, A. 1 Antoulas, Athanasios C. 1 Anzt, Hartwig 1 Arioli, Mario 1 August, Elias 1 Aurentz, Jared Lee 1 Bacigalupo, Andrea 1 Bagchi, Aniruddha 1 Bai, Yihua 1 Bamani, Ali H. 1 Bamieh, Bassam A. 1 Bandyopadhyay, Siddhartha 1 Bao, Liang 1 Barb, Florin Dan 1 Barkouki, Houda 1 Basilio, João Carlos ...and 302 more Authors
all top 5

#### Cited in 77 Serials

 49 Linear Algebra and its Applications 15 Journal of Computational and Applied Mathematics 11 International Journal of Control 10 International Journal of Systems Science 10 Numerische Mathematik 9 Systems & Control Letters 7 Linear and Multilinear Algebra 7 SIAM Journal on Algebraic and Discrete Methods 6 Computers & Mathematics with Applications 6 SIAM Journal on Matrix Analysis and Applications 5 Numerical Algorithms 4 Journal of Fluid Mechanics 4 Applied Mathematics and Computation 4 Mathematical and Computer Modelling of Dynamical Systems 3 Computer Methods in Applied Mechanics and Engineering 3 Journal of Computational Physics 3 Journal of the Franklin Institute 3 Wave Motion 3 Automatica 3 Applied Numerical Mathematics 3 Journal of Scientific Computing 3 Numerical Linear Algebra with Applications 2 Mathematics of Computation 2 BIT 2 Calcolo 2 Computing 2 Czechoslovak Mathematical Journal 2 International Journal for Numerical Methods in Engineering 2 Cybernetics 2 Circuits, Systems, and Signal Processing 2 Mathematical and Computer Modelling 2 Applied Mathematical Modelling 2 SIAM Review 2 Computational Statistics and Data Analysis 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 SIAM Journal on Scientific Computing 2 Communications in Numerical Methods in Engineering 2 Journal of Mathematical Sciences (New York) 2 ELA. The Electronic Journal of Linear Algebra 2 Archives of Computational Methods in Engineering 2 GAMM-Mitteilungen 2 Journal of Control Science and Engineering 1 Acta Mechanica 1 Computers and Fluids 1 Journal of Mathematical Biology 1 Mathematics and Computers in Simulation 1 Results in Mathematics 1 Operations Research Letters 1 Journal of Time Series Analysis 1 Journal of Complexity 1 Algorithmica 1 Computers & Operations Research 1 Journal of Economic Dynamics & Control 1 MCSS. Mathematics of Control, Signals, and Systems 1 Journal of Parallel and Distributed Computing 1 Neural Networks 1 European Journal of Applied Mathematics 1 Annals of Operations Research 1 International Journal of Foundations of Computer Science 1 Journal of Mathematical Imaging and Vision 1 Computational Optimization and Applications 1 Physics of Fluids 1 Advances in Computational Mathematics 1 Mathematical Problems in Engineering 1 Parallel Algorithms and Applications 1 Multibody System Dynamics 1 Optimization Methods & Software 1 Soft Computing 1 Nonlinear Analysis. Real World Applications 1 Journal of Systems Science and Complexity 1 Journal of Applied Mathematics and Computing 1 BIT. Nordisk Tidskrift for Informationsbehandling 1 The B. E. Journal of Theoretical Economics 1 Symmetry 1 Journal of Linear and Topological Algebra 1 Journal of Mathematical Modeling 1 Bulletin of Computational Applied Mathematics
all top 5

#### Cited in 30 Fields

 128 Numerical analysis (65-XX) 81 Linear and multilinear algebra; matrix theory (15-XX) 72 Systems theory; control (93-XX) 18 Ordinary differential equations (34-XX) 18 Mechanics of deformable solids (74-XX) 18 Fluid mechanics (76-XX) 11 Computer science (68-XX) 10 Operations research, mathematical programming (90-XX) 9 Combinatorics (05-XX) 8 Approximations and expansions (41-XX) 7 Probability theory and stochastic processes (60-XX) 7 Statistics (62-XX) 5 Partial differential equations (35-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Optics, electromagnetic theory (78-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Biology and other natural sciences (92-XX) 3 Information and communication theory, circuits (94-XX) 2 General and overarching topics; collections (00-XX) 2 Operator theory (47-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Mechanics of particles and systems (70-XX)