This article surveys preconditioning techniques for the iterative solution of large linear
systems, with a focus on algebraic methods suitable for general sparse matrices. Covered …

The computational solution of problems can be restricted by the availability of solution
methods for linear (ized) systems of equations. In conjunction with iterative methods …

Real-space grids are a powerful alternative for the simulation of electronic systems. One of
the main advantages of the approach is the flexibility and simplicity of working directly in real …

Analysis and computation, the most important and indispensable methods for processing
matrices, are closely related but two significantly different areas. The former focuses more on …

In the six years that have passed since the publication of the first edition of this book,
iterative methods for linear systems have made good progress in scientific and engineering …

One of the most effective methods for nonlinearly constrained optimization generates steps
by solving quadratic subproblems. This sequential quadratic programming (SQP) approach …

The discrete-dipole approximation (DDA) for scattering calculations, including the
relationship between the DDA and other methods, is reviewed. Computational …

Which of the following statements is true?• Users want “black box” software that they can use
with complete confidence for general problem classes without having to understand the fine …

This book on iterative methods for linear and nonlinear equations can be used as a tutorial
and a reference by anyone who needs to solve nonlinear systems of equations or large …

Large linear systems of saddle point type arise in a wide variety of applications throughout
computational science and engineering. Due to their indefiniteness and often poor spectral …