Update paper.md

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,

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}.