README.md
In StanHeaders: C++ Header Files for Stan

KINSOL

Alan C. Hindmarsh, Radu Serban, Cody J. Balos, David J. Gardner, and Carol S. Woodward, Center for Applied Scientific Computing, LLNL

Daniel R. Reynolds, Department of Mathematics, Southern Methodist University

KINSOL is a package for the solution for nonlinear algebraic systems

F(u) = 0.

Nonlinear solver methods available include Newton-Krylov, Picard, and fixed-point. Both Picard and fixed point can be accelerated with Anderson acceleration.

KINSOL is part of the SUNDIALS Suite of Nonlinear and Differential/Algebraic equation Solvers which consists of ARKode, CVODE, CVODES, IDA, IDAS and KINSOL. It is written in ANSI standard C, but is based on the previous Fortran package NKSOL, written by Peter Brown and Youcef Saad. KINSOL can be used in a variety of computing environments including serial, shared memory, distributed memory, and accelerator-based (e.g., GPU) systems. This flexibility is obtained from a modular design that leverages the shared vector, matrix, and linear solver APIs used across SUNDIALS packages.

For use with Fortran applications, a set of Fortran/C interface routines, called FKINSOL, is also supplied. These are written in C, but assume that the user calling program and all user-supplied routines are in Fortran.

See the KINSOL User Guide and KINSOL Examples document for more information about IDA usage and the provided example programs respectively.

For installation instructions see the INSTALL_GUIDE or the "Installation Procedure" chapter in the KINSOL User Guide.

Information on recent changes to KINSOL can be found in the "Introduction" chapter of the KINSOL User Guide and a complete release history is available in the "SUNDIALS Release History" appendix of the KINSOL User Guide.

A. C. Hindmarsh, R. Serban, C. J. Balos, D. J. Gardner, D. R. Reynolds and C. S. Woodward, "User Documentation for KINSOL v5.6.1," LLNL technical report UCRL-SM-208116, Dec 2020.
A. M. Collier and R. Serban, "Example Programs for KINSOL v5.6.1," LLNL technical report UCRL-SM-208114, Dec 2020.
A. C. Hindmarsh, P. N. Brown, K. E. Grant, S. L. Lee, R. Serban, D. E. Shumaker, and C. S. Woodward, "SUNDIALS, Suite of Nonlinear and Differential/Algebraic Equation Solvers," ACM Trans. Math. Softw., 31(3), pp. 363-396, 2005.
Peter N. Brown and Youcef Saad, "Hybrid Krylov Methods for Nonlinear Systems of Equations," SIAM J. Sci. Stat. Comput., Vol 11, no 3, pp. 450-481, May 1990.
A. G. Taylor and A. C. Hindmarsh, "User Documentation for KINSOL, A Nonlinear Solver for Sequential and Parallel Computers," LLNL technical report UCRL-ID-131185, July 1998.