From 5945d70cdd488c1b841e9e1551254d682a54b351 Mon Sep 17 00:00:00 2001 From: Alexis Montoison Date: Tue, 29 Aug 2023 14:53:06 -0400 Subject: [PATCH] Update paper.md --- paper/paper.bib | 13 ++++++++++--- paper/paper.md | 6 +++--- 2 files changed, 13 insertions(+), 6 deletions(-) diff --git a/paper/paper.bib b/paper/paper.bib index bb964ab49..ebe8ba45a 100644 --- a/paper/paper.bib +++ b/paper/paper.bib @@ -80,11 +80,18 @@ @book{greenbaum-1997 } @techreport{petsc, - author = {Satish Balay and Shrirang Abhyankar and Mark~F. Adams and Steven Benson and Jed Brown and Peter Brune and Kris Buschelman and Emil Constantinescu and Lisandro Dalcin and Alp Dener and Victor Eijkhout and Jacob Faibussowitsch and William~D. Gropp and V\'{a}clav Hapla and Tobin Isaac and Pierre Jolivet and Dmitry Karpeev and Dinesh Kaushik and Matthew~G. Knepley and Fande Kong and Scott Kruger and Dave~A. May and Lois Curfman McInnes and Richard Tran Mills and Lawrence Mitchell and Todd Munson and Jose~E. Roman and Karl Rupp and Patrick Sanan and Jason Sarich and Barry~F. Smith and Stefano Zampini and Hong Zhang and Hong Zhang and Junchao Zhang}, + author = {Satish Balay and Shrirang Abhyankar and Mark~F. Adams and Steven Benson and Jed Brown + and Peter Brune and Kris Buschelman and Emil Constantinescu and Lisandro Dalcin and Alp Dener + and Victor Eijkhout and Jacob Faibussowitsch and William~D. Gropp and V\'{a}clav Hapla and Tobin Isaac and Pierre Jolivet + and Dmitry Karpeev and Dinesh Kaushik and Matthew~G. Knepley and Fande Kong and Scott Kruger + and Dave~A. May and Lois Curfman McInnes and Richard Tran Mills and Lawrence Mitchell and Todd Munson + and Jose~E. Roman and Karl Rupp and Patrick Sanan and Jason Sarich and Barry~F. Smith + and Stefano Zampini and Hong Zhang and Hong Zhang and Junchao Zhang}, title = {{PETSc/TAO} Users Manual}, institution = {Argonne National Laboratory}, - number = {ANL-21/39 - Revision 3.18}, - year = {2022}, + number = {ANL-21/39 - Revision 3.19}, + doi = {10.2172/1968587}, + year = {2023}, } @book{MATLAB, diff --git a/paper/paper.md b/paper/paper.md index 2cec6ae27..dbe005373 100644 --- a/paper/paper.md +++ b/paper/paper.md @@ -55,13 +55,13 @@ We refer interested readers to [@ipsen-meyer-1998] for an introduction to Krylov ## Largest collection of Krylov processes and methods -Krylov.jl aims to provide a user-friendly and unified interface for the largest collection of Krylov processes and methods, all programming languages taken together, with six and thirty-three implementations, respectively: +Krylov.jl aims to provide a user-friendly and unified interface for the largest collection of Krylov processes and methods, all programming languages taken together, with six and thirty-five implementations, respectively: - \textbf{Krylov processes}: \textsc{Arnoldi}, \textsc{Golub-Kahan}, \textsc{Hermitian Lanczos}, \textsc{Montoison-Orban}, \textsc{Non-Hermitian Lanczos}, \textsc{Saunders-Simon-Yip}; -- \textbf{Krylov methods}: \textsc{Bicgstab}, \textsc{Bilq}, \textsc{Bilqr}, \textsc{Cg}, \textsc{Cg-lanczos}, \textsc{Cg-lanczos-shift}, \textsc{Cgls}, \textsc{Cgne}, \textsc{Cgs}, \textsc{Cr}, \textsc{Craig}, \textsc{Craigmr}, \textsc{Crls}, \textsc{Crmr}, \textsc{Diom}, \textsc{Dqgmres}, \textsc{Fgmres}, \textsc{Fom}, \textsc{Gmres}, \textsc{Gpmr}, \textsc{Lnlq}, \textsc{Lslq}, \textsc{Lsmr}, \textsc{Lsqr}, \textsc{Minres}, \textsc{Minres-qlp}, \textsc{Qmr}, \textsc{Symmlq}, \textsc{Tricg}, \textsc{Trilqr}, \textsc{Trimr}, \textsc{Usymlq}, \textsc{Usymqr}. +- \textbf{Krylov methods}: \textsc{Bicgstab}, \textsc{Bilq}, \textsc{Bilqr}, \textsc{Car}, \textsc{Cg}, \textsc{Cg-lanczos}, \textsc{Cg-lanczos-shift}, \textsc{Cgls}, \textsc{Cgne}, \textsc{Cgs}, \textsc{Cr}, \textsc{Craig}, \textsc{Craigmr}, \textsc{Crls}, \textsc{Crmr}, \textsc{Diom}, \textsc{Dqgmres}, \textsc{Fgmres}, \textsc{Fom}, \textsc{Gmres}, \textsc{Gpmr}, \textsc{Lnlq}, \textsc{Lslq}, \textsc{Lsmr}, \textsc{Lsqr}, \textsc{Minares}, \textsc{Minres}, \textsc{Minres-qlp}, \textsc{Qmr}, \textsc{Symmlq}, \textsc{Tricg}, \textsc{Trilqr}, \textsc{Trimr}, \textsc{Usymlq}, \textsc{Usymqr}. Hence Krylov.jl is a suitable toolbox for easily comparing existing methods with each other as well as new ones. -The number of distinct Krylov methods is eighteen for PETSc [@petsc], eleven for @MATLAB and [KrylovMethods.jl](https://github.com/JuliaInv/KrylovMethods.jl), nine for [IterativeSolvers.jl](https://github.com/JuliaLinearAlgebra/IterativeSolvers.jl) and three for [KrylovKit.jl](https://github.com/Jutho/KrylovKit.jl). +The number of distinct Krylov methods is twenty-two for PETSc [@petsc], eleven for @MATLAB and [KrylovMethods.jl](https://github.com/JuliaInv/KrylovMethods.jl), nine for [IterativeSolvers.jl](https://github.com/JuliaLinearAlgebra/IterativeSolvers.jl) and three for [KrylovKit.jl](https://github.com/Jutho/KrylovKit.jl). However Krylov.jl doesn't have implementations of recycling Krylov methods nor block Krylov methods unlike some alternatives, except for special cases, including \textsc{Tricg}, \textsc{Trimr}, and \textsc{Gpmr}. Note that we only consider the number of Krylov methods that generate different iterates without preconditioning. Variants with preconditioning are not counted except if it is a flexible one such as \textsc{Fgmres}.