Publications

• M. Stewart and P. Van Dooren, A QURV updating algorithm, in Proceedings of the Fifth SIAM Conference on Applied Linear Algebra, J. G. Lewis, ed., SIAM, 1994.
• M. Stewart and P. Van Dooren, Smoothly time-varying systems and Toeplitz least squares problems, in Proceedings of the ACC, 1994.
• M. Stewart and G. Cybenko, Perfect reconstruction filtering with unitary operators and projections, Linear Algebra and Its Applications, 209 (1994), pp. 97-133.
• M. Stewart and P. Van Dooren, An updating algorithm for on-line MIMO system identification, in SVD in Signal Processing III, Algorithms and Applications, M. Moonen and B. De Moor eds, Elsevier 1995.
• M. Stewart and P. Van Dooren, Stability issues in the factorization of structured matrices, SIAM J. Matrix Anal. Appl., Jan 1997.
• M. Stewart, Cholesky factorization of semi-definite Toeplitz matrices Linear Algebra and Its Applications, 254 (1997), pp. 497-526.
• M. Stewart and G. W. Stewart, On hyperbolic triangularization: stability and pivoting SIAM J. Matrix Anal. Appl., 19 (1998), pp. 847-860.
• M. Stewart and P. Van Dooren, Updating a generalized URV decomposition, SIAM J. Matrix Anal. Appl., 22 (2000) pp. 479-500.
• V. Olshevsky and M. Stewart, Stable Factorization for Hankel and Hankel-like matrices, Numerical Linear Algebra with Applications, 8 (2001), pp. 401-434.
• M. Stewart, Stability Properties of Several Variants of the Unitary Hessenberg QR Algorithm, Contemporary Mathematics, AMS Contemporary Mathematics Series, V. 281, American Mathematical Society 2001.
• M. Stewart and P. Van Dooren, On the factorization of hyperbolic and unitary transformations into rotations Submitted to SIAM J. Matrix Anal. Appl. [PDF]
• M. Stewart, A Superfast Toeplitz Solver with Improved Numerical Stability, to appear in SIAM J. Matrix Anal. Appl. [PDF]
• H. Elman, O. Ernst, D. O'Leary and M. Stewart, Efficient Iterative Algorithms for the Stochastic Finite Element Method with Application to Acoustic Scattering, Submitted to Computer Methods in Applied Mechanics and Engineering.
• M. Stewart, Perturbation theory for singular subspaces and singular values in the presence of small singular values [PDF]