Journal Articles:

Bai, Yihua and Robert C. Ward, "Parallel Block Tridiagonalization of Real Symmetric Matrices," J Parallel Distrib. Comput. 68:5 (2008) pp. 703-715.

Bai, Yihua and Robert C. Ward, "A Parallel Symmetric Block-Tridiagonal Divide-and-Conquer Algorithm," ACM Trans. Math. Software 33:4 (2007) Article 25.

Bai, Yihua, Wilfried N. Gansterer and Robert C. Ward, "Block- Tridiagonalization of "Effectively" Sparse Symmetric Matrices," ACM Trans. Math. Software 30:3 (2004) pp. 326-352.

Gansterer, W. N., R. C. Ward, Y. Bai, R. M. Day, "A Framework for Approximating Eigenpairs in Electronic Structure Computations," IEEE Computing in Science & Engineering 6:5 (2004) pp. 50-59.

Gansterer, Wilfried N., Robert C. Ward, Richard P. Muller and William A. Goddard, III, "Computing Approximate Eigenpairs of Symmetric Block Tridiagonal Matrices," SIAM J. Sci. Comput. 25 (2003) pp. 65-85.

Gansterer, Wilfried N., Robert C. Ward and Richard P. Muller, "An Extension of the Divide-and-Conquer Method for a Class of Symmetric Block-Tridiagonal Eigenproblems," ACM Trans. Math. Software 28 (2002) pp. 45-58.

Leuze, Michael R. and Robert C. Ward, "Parallel Computers Take Lead in Complex Problem Solving," Computers in Physics 5 (1991) pp. 582-584.

Laub, A. J., M. T. Heath, C. C. Paige, and R. C. Ward, "Computation of System Balancing Transformations and Other Applications of Simultaneous Diagonalization Algorithms," IEEE Trans. Automat. Contr. AC-32 (1987) pp. 115-122.

Scott, David S., Michael T. Heath, and Robert C. Ward, "Parallel Block Jacobi Eigenvalue Algorithms Using Systolic Arrays," Lin. Alg. Its Appl. 77 (1986) pp. 345-355.

Heath, M. T., R. C. Ward, A. J. Laub, and C. C. Paige, "Computing the Singular Value Decomposition of a Product of Two Matrices," SIAM J. Sci. Stat. Comput. 7 (1986) pp. 1147-1159.

Ward, R. C., G. J. Davis, and V. E. Kane, "Algorithm 633. An Algorithm for Linear Dependency Analysis of Multivariate Data," ACM Trans. Math. Software 11 (1985) pp. 170-182.

Kane, V. E., R. C. Ward, and G. J. Davis, "Assessment of Linear Dependencies in Multivariate Data," SIAM J. Sci. Stat. Comput. 6 (1985) pp. 1022-1032.

Berry, M. W., M. T. Heath, I. Kaneko, M. Lawo, R. J. Plemmons, and R. C. Ward, "An Algorithm to Compute a Sparse Basis of the Null Space," Numerische Mathematik 47 (1985) pp. 483-504.

Heath, M. T., R. J. Plemmons and R. C. Ward, "Sparse Orthogonal Schemes for Structural Optimization Using the Force Method," SIAM J. Sci. Stat. Comput. 5 (1984) pp. 514-532.

Scott, David S. and Robert C. Ward, "Solving Symmetric-Definite Quadratic Lambda-Matrix Problems Without Factorization," SIAM J. Sci. Stat. Comput. 3 (1982) pp. 58-67.

Ward, Robert C., "Balancing the Generalized Eigenvalue Problem," SIAM J. Sci. Stat. Comput. 2 (1981) pp. 141-152.

Ward, R. C. and L. J. Gray, "ALGORITHM 530: An Algorithm for Computing the Eigensystem of Skew-Symmetric Matrices and a Class of Symmetric Matrices [F2]," ACM Trans. Math. Software 4 (1978) pp. 286-289.

Ward, R. C. and L. J. Gray, "Eigensystem Computation for Skew-Symmetric Matrices and a Class of Symmetric Matrices," ACM Trans.Math. Software 4 (1978) pp. 278-285.

Berman, A., R. S. Varga and R. C. Ward, "ALPS: Matrices with Nonpositive Off-Diagonal Entries," Lin. Alg. Its Appl. 21 (1978) pp. 233-244.

Berman, Abraham and Robert C. Ward, "ALPS: Classes of Stable and Semipositive Matrices," Lin. Alg. Its Appl. 21 (1978) pp. 163-174.

Ward, Robert C., "Numerical Computation of the Matrix Exponential with Accuracy Estimate," SIAM J. Numer. Anal. 14 (1977) pp. 600-610.

Berman, A. and R. C. Ward, "Stability and Semipositivity of Real Matrices," Bull. Amer. Math. Soc. 83 (1977) p. 262.

Ward, Robert C., "The QR Algorithm and Hyman's Method on Vector Computers," Math. Comput. 30 (1976) pp. 132-142.

Ward, Robert C., "The Combination Shift QZ Algorithm," SIAM J. Numer. Anal. 12 (1975) pp. 835-853.

Articles Appearing in Conference Proceedings or Books:

Bai, Y., R. M. Day, W. N. Gansterer and R. C. Ward, "New Algorithmic Tools For Electronic Structure Computations," Proceedings of the Fourth IMACS Symposium on Mathematical Modelling, Volume 2 (CD-ROM), Vienna University of Technology (February 2003) (Click here for a ps version.)

Heath, Michael T. and Robert C. Ward, "Parallel Computers: Algorithms and Applications," Information Technology Resources Assessment: FY90 - FY94, DOE Office of Energy Research Report DOE/MA-0351, Washington D.C., (December, 1988) pp. C47-C59.

Geist, G. A., R. C. Ward, G. J. Davis, and R. E. Funderlic, "Finding Eigenvalues and Eigenvectors of Unsymmetric Matrices using a Hypercube Multiprocessor," Proceedings of the Third Conference on Hypercube Concurrent Computers and Applications, ACM Press (1988) pp. 1577-1582.

Laub, A. J., M. T. Heath, C. C. Paige, and R. C. Ward, "Computation of System Balancing Transformations," Proceedings of the 25th IEEE Conference on Decision and Control (December, 1986).

Ward, Robert C., "Solving Scientific Problems on Hypercube Parallel Computers," Proceedings of The Invitational Forum on The Supercomputing Decision for Cost-Effective Scientific Computation, Center for Innovation Technology and George Mason University (May, 1986) pp. 176-200.

Berry, M. W., M. T. Heath, R. J. Plemmons, and R. C. Ward, "Orthogonal Schemes for Structural Optimization," Transactions of the First Army Conference on Applied Mathematics and Computing, U. S. Army Research Office Report 84-1 (February, 1984) pp. 477-485.

Scott, David S. and Robert C. Ward, "Algorithms for Sparse, Symmetric, Definite Quadratic Lambda-Matrix Eigenproblems," Proceedings of the 1981 Army Numerical Analysis and Computers Conference, U. S. Army Research Office Report 81-3 (August, 1981) pp. 261-266.

Golub, G. H. and R. C. Ward, "Numerical Linear Algebra," Program Directions for Computational Mathematics, DOE Office of Energy Research, Washington D.C. (June, 1979) pp. 20-53.

Ward, Robert C., "Statistical Roundoff Error Analysis of a Pade Algorithm for Computing the Matrix Exponential," Proceedings of the Conference on Rational Approximation, Academic Press, New York (1977) pp. 449-460.

Technical Reports:

Ward, Robert C. and Yihua Bai, Performance of Parallel Eigensolvers on Electronic Structure Calculations II, Technical Report UT-CS-06-572, University of Tennessee, Knoxville, TN, September 2006. (Click here for a pdf version.)

Bai, Yihua and Robert C. Ward, Parallel Block Tridiagonalization of Real Symmetric Matrices, Technical Report UT-CS-06-578, University of Tennessee, Knoxville, TN, June 2006. (Click here for a pdf version.)

* Bai, Yihua and Robert C. Ward, A Parallel Symmetric Block-Tridiagonal Divide-and-Conquer Algorithm , Technical Report UT-CS-05-571, University of Tennessee, Knoxville, TN, December 2005. (Click here for a pdf version.)

Ward, Robert C., Yihua Bai and Justin Pratt, Performance of Parallel Eigensolvers on Electronic Structure Calculations, Technical Report UT-CS-05-560, University of Tennessee, Knoxville, TN, February 2005. (Click here for a pdf version.)

* Bai, Yihua, Wilfried N. Gansterer and Robert C. Ward, Block- Tridiagonalization of "Effectively" Sparse Symmetric Matrices, Technical Report UT-CS-02-492, University of Tennessee, Knoxville, TN, March 2003. (Click here for a pdf version.)

* Gansterer, Wilfried N. and Robert C. Ward, Computing Approximate Eigenpairs of Symmetric Block Tridiagonal Matrices, Technical Report UT-CS-01-463, University of Tennessee, Knoxville, TN, July 2001. (Click here for a ps version.)

* Gansterer, Wilfried N., Robert C. Ward, and Richard P. Muller, An Extension of the Divide-And-Conquer Method for A Class of Symmetric Block-Tridiagonal Eigenproblems, Technical Report UT-CS-00-447, University of Tennessee, Knoxville, TN, September 2000. (Click here for a ps version.)

Elwasif, Wael R., Jonathan D. Moore, Peter T. Cummings, and Robert C. Ward, MDVIZ: A Molecular Dynamics Visualization Toolkit, Technical Report UT-CS-99-437, University of Tennessee, Knoxville, TN, December 1999. (Click here for a ps version.)

Ward, Robert C., Engineering Physics and Mathematics Division Progress Report for Period Ending December 31, 1992, Technical Report ORNL-6753, Oak Ridge National Laboratory, Oak Ridge, TN, May 1993.

Ward, Robert C., Engineering Physics and Mathematics Division Progress Report for Period Ending March 31, 1991, Technical Report ORNL-6682, Oak Ridge National Laboratory, Oak Ridge, TN, October 1991.

* Scott, David S., Michael T. Heath and Robert C. Ward, Parallel Block Jacobi Eigenvalue Algorithms Using Systolic Arrays, Technical Report 85-01, Computer Sciences Department, University of Texas, Austin, TX, January 1985.

* Heath, M. T., A. J. Laub, C. C. Paige and R. C. Ward, Computing The Singular Value Decomposition of a Product of Two Matrices, Technical Report ORNL-6118, Oak Ridge National Laboratory, Oak Ridge, TN, January 1985.

* Heath, M. T., R. J. Plemmons and R. C. Ward, Sparse Orthogonal Schemes for Structural Optimization Using the Force Method, Technical Report ORNL/CSD-119, Oak Ridge National Laboratory, Oak Ridge, TN, May 1983.

* Scott, David S. and Robert C. Ward, Solving Quadratic Lambda-Matrix Problems Without Factorization, Technical Report ORNL/CSD-76, Oak Ridge National Laboratory, Oak Ridge, TN, March 1981.

* Ward, Robert C., Balancing the Generalized Eigenvalue Problem, Technical Report ORNL/CSD-47, Oak Ridge National Laboratory, Oak Ridge, TN, October 1979.

* Berman, A., R. S. Varga and R. C. Ward, ALPS: Matrices with Nonpositive Off-Diagonal Entries, Technical Report ORNL/CSD-21, Oak Ridge National Laboratory, Oak Ridge, TN, March 1977.

* Berman, Abraham and Robert C. Ward, ALPS: Classes of Stable and Semipositive Matrices, Technical Report ORNL/CSD-14, Oak Ridge National Laboratory, Oak Ridge, TN, October 1976.

* Ward, R. C. and L. J. Gray, Eigensystem Computation for Skew-Symmetric Matrices and a Class of Symmetric Matrices, Technical Report ORNL/CSD-9, Oak Ridge National Laboratory, Oak Ridge, TN, May 1976.

* Ward, R. C., Numerical Computation of the Matrix Exponential with Accuracy Estimate, Technical Report UCCND-CSD-24, Union Carbide Corporation, Nuclear Division, Oak Ridge, TN, November 1975.

* Ward, R. C., A Numerical Solution to the Generalized Eigenvalue Problem, Technical Report UCCND-CSD-7, Union Carbide Corporation, Nuclear Division, Oak Ridge, TN, December 1974.

* Ward, Robert C., The QR Algorithm and Hyman's Method on Vector Computers, Technical Report UCCND-CSD-6, Union Carbide Corporation, Nuclear Division, Oak Ridge, TN, October 1974.

Ward, Robert C., Error Analysis of Householder Transformations as Applied to the Standard and Generalized Eigenvalue Problems, Technical Note D-7764, NASA Langley Research Center, Hampton, VA, 1974.

* Ward, Robert C., An Extension of the QZ Algorithm for Solving the Generalized Matrix Eigenvalue Problem, Technical Note D-7305, NASA Langley Research Center, Hampton, VA, 1973.

Ward, Robert C., Dynamic Data Analysis Techniques Used in the Langley Times Series Analysis Computer Program, Technical Memorandum X-2160, NASA Langley Research Center, Hampton, VA, 1971.

Ward, Robert C., A Guide to the Use of Programs for Plotting and Listing Inputs and Results of the Time Series Analysis Program, LWP-745, NASA Langley Research Center, Hampton, VA, 1969.

* Preliminary or abbreviated versions of papers that have been revised and extended, then submitted or appeared as journal articles listed previously.

Articles Appearing in Newsletters, Magazines, etc.:

George, J. Alan, Carolyn H. Krause, and Robert C. Ward, "Four Decades of Numerical Linear Algebra at ORNL," SIAM News 20 (1987) pp. 24,17.

Ward, Robert C., "Mathematical Sciences Research at ORNL," Oak Ridge National Laboratory Review 19 (1986) pp. 119-126.