Experiments with Conjugate Gradient Algorithms for Homotopy Curve Tracking. - Kashmira M. Irani; Manohar P. Kamat; Calvin J. Ribbens; Homer F. Walker; Layne T. Watson (SIAM J. Optim., 1991)

Preconditioned Iterative Methods for Homotopy Curve Tracking. - Colin Desa; Kashmira M. Irani; Calvin J. Ribbens; Layne T. Watson; Homer F. Walker (SIAM J. Sci. Comput., 1992)

Efficient High Accuracy Solutions with GMRES(m). - Kathryn Turner; Homer F. Walker (SIAM J. Sci. Comput., 1992)

A simpler GMRES. - Homer F. Walker; Lu Zhou 001 (Numer. Linear Algebra Appl., 1994)

Globally Convergent Inexact Newton Methods. - Stanley C. Eisenstat; Homer F. Walker (SIAM J. Optim., 1994)

Residual Smoothing Techniques for Iterative Methods. - Lu Zhou 001; Homer F. Walker (SIAM J. Sci. Comput., 1994)

Choosing the Forcing Terms in an Inexact Newton Method. - Stanley C. Eisenstat; Homer F. Walker (SIAM J. Sci. Comput., 1996)

Algorithm 777: HOMPACK90: A Suite of Fortran 90 Codes for Globally Convergent Homotopy Algorithms. - Layne T. Watson; Masha Sosonkina; Robert C. Melville; Alexander P. Morgan; Homer F. Walker (ACM Trans. Math. Softw., 1997)

GMRES On (Nearly) Singular Systems. - Peter N. Brown; Homer F. Walker (SIAM J. Matrix Anal. Appl., 1997)

A new adaptive GMRES algorithm for achieving high accuracy. - Maria Sosonkina; Layne T. Watson; Rakesh K. Kapania; Homer F. Walker (Numer. Linear Algebra Appl., 1998)

NITSOL: A Newton Iterative Solver for Nonlinear Systems. - Michael Pernice; Homer F. Walker (SIAM J. Sci. Comput., 1998)

An Adaptation of Krylov Subspace Methods to Path Following Problems. - Homer F. Walker (SIAM J. Sci. Comput., 1999)

Globalization Techniques for Newton-Krylov Methods and Applications to the Fully Coupled Solution of the Navier-Stokes Equations. - Roger P. Pawlowski; John N. Shadid; Joseph P. Simonis; Homer F. Walker (SIAM Rev., 2006)

On Using Approximate Finite Differences in Matrix-Free Newton-Krylov Methods. - Peter N. Brown; Homer F. Walker; Rebecca Wasyk; Carol S. Woodward (SIAM J. Numer. Anal., 2008)

Inexact Newton Dogleg Methods. - Roger P. Pawlowski; Joseph P. Simonis; Homer F. Walker; John N. Shadid (SIAM J. Numer. Anal., 2008)

Anderson Acceleration for Fixed-Point Iterations. - Homer F. Walker; Peng Ni (SIAM J. Numer. Anal., 2011)

Special Section: 2010 Copper Mountain Conference. - Ray Tuminaro; Michele Benzi; Xiao-Chuan Cai; Iain Duff; Howard C. Elman; Roland Freund; Kirk E. Jordan; Tim Kelley; David E. Keyes; Misha Elena Kilmer; Sven Leyffer; Tom Manteuffel; et al. (SIAM J. Sci. Comput., 2011)

Anderson acceleration and application to the three-temperature energy equations. - Hengbin An; Xiaowei Jia; Homer F. Walker (J. Comput. Phys., 2017)

Accelerating the Uzawa Algorithm. - Nguyenho Ho; Sarah D. Olson; Homer F. Walker (SIAM J. Sci. Comput., 2017)