Workshop

• Workshop on Fast Direct Solvers, by Jianlin Xia and Jie Shen, Purdue CCAM, 2016

• Improved Schur complement preconditioners for block-Toeplitz systems with small size blocks, B. M. Ning, D. Zhao and H. Y. Li, JCAM, 311 (2017), 655--663.
• Preconditioning Toeplitz-plus-diagonal linear systems using the Sherman–Morrison–Woodbury formula, C. J. Wang, H. Y. Li and D. Zhao, JCAM, 309 (2017), 312--319.
• Transformations of matrix structures work again, V. Y. Pan, Linear Algebra and its Applications, 465 (2015), 107--138.

• Approximate Inverse Circulant-plus-Diagonal Preconditioners for Toeplitz-plus-Diagonal Matrices, M. K. Ng and J. Y. Pan, SIAM J. Sci. Comput., 32 (2010), 1442--1464.
• Circulant and skew-circulant splitting methods for Toeplitz systems, M. K. Ng, Journal of Computational and Applied Mathematics, 159 (2003), 101--108.
• Four short stories about Toeplitz matrix calculations, T. Strohmer, Linear Algebra and its Applications, 343-344 (2002), 321--344.
• Bounds for the Entries of Matrix Functions with Applications to Preconditioning, M. Benzi and G. H. Golub, BIT Numerical Mathematics, 39 (1999), 417--438.
• A Fast Algorithm for Deblurring Models with Neumann Boundary Conditions, M. K. Ng, R. H. Chan and W-C Tang, SIAM J. Sci. Comput., 21 (1999), 851--866.
• Conjugate gradient methods for Toeplitz systems, R. H. Chan and M. K. Ng, SIAM Rev., 38 (1996), 427--482.
• Toeplitz Equations by Conjugate Gradients with Circulant Preconditioner, R. H. Chan and G. Strang, SIAM J. Sci. and Stat. Comput., 10 (1989), 104--119.

• A superfast structured solver for Toeplitz linear systems via randomized sampling, J. Xia, Y. Xi and M. Gu, SIAM J. Matrix Anal. & Appl., 33 (2012), 837--858.
• Stability of the Levinson Algorithm for Toeplitz-Like Systems, P. Favati, G. Lotti and O. Menchi, SIAM J. Matrix Anal. & Appl., 31 (2010), 2531--2552.
• Displacement Structure: Theory and Applications, T. Kailath and A. H. Sayed, SIAM Review, 37 (1995), 297--386.
• Stability of methods for solving Toeplitz systems of equations, J. R. Bunch, SIAM, J. Sci. Stat. Comput., 6 (1985), 349--364.

• A numerically stable superfast Toeplitz solver, M. Gu, 2009.

• Fast Algorithms for Structured Matrix Computations, M. Stewart, in Handbook of Linear Algebra, 2nd, 2014
• Toeplitz and Circulant Matrices: A Review, R. M. Gray, 2009.
• Iterative Methods for Toeplitz Systems, M.K. Ng, Oxford, 2004.