docs: copy edits and grammar fixes in advanced and intro tutorials

Author: arnavk23

tutorials/advanced-jsosolvers/index.jmd

@@ -4,7 +4,7 @@ tags: ["solvers", "krylov", "benchmark", "least squares"]
 author: "Tangi Migot"
 ---
 
-# Comparing subsolvers for nonlinear least squares JSOSolvers solvers
+# Comparing subsolvers for nonlinear least squares in JSOSolvers
 
 This tutorial showcases some advanced features of solvers in JSOSolvers.
 
@@ -14,7 +14,7 @@ using JSOSolvers
 
 Migration note (JSOSolvers ≥ 0.11): subsolvers are now selected with a Symbol via the `subsolver` keyword. Replace any old usages like `trunk(nlp, subsolver_type = CglsSolver)` with `trunk(nlp; subsolver = :cgls)`. See `JSOSolvers.trunkls_allowed_subsolvers` and `JSOSolvers.tronls_allowed_subsolvers` for the list of accepted symbols.
 
-We benchmark different subsolvers used in the solvers TRUNK for unconstrained nonlinear least squares problems.
+We benchmark different subsolvers used in the solver TRUNK for unconstrained nonlinear least squares problems.
 The first step is to select a set of problems that are nonlinear least squares.
 
 ```julia
@@ -40,7 +40,7 @@ For this task, several solvers are available.
 JSOSolvers.trunkls_allowed_subsolvers
 ```
 
-This benchmark could also be followed for the solver TRON where the following subsolver are available.
+This benchmark could also be followed for the solver TRON where the following subsolvers are available.
 
 ```julia
 JSOSolvers.tronls_allowed_subsolvers
@@ -118,5 +118,5 @@ profile_solvers(stats, costs, costnames)
 ```
 
 The CRLS and CGLS variants are the ones solving more problems, and even though the difference is rather small the CGLS variant is consistently faster which seems to indicate that it is the most appropriate subsolver for TRUNK.
-The size of the problems were rather small here, so this should be confirmed on larger instance.
+The size of the problems was rather small here, so this should be confirmed on larger instances.
 Moreover, the results may vary depending on the origin of the test problems.

tutorials/introduction-to-jsosolvers/index.jmd

@@ -127,7 +127,7 @@ solver = LBFGSSolver(nlp; mem = 5);
 stats = solve!(solver, nlp)
 ```
 
-The following table provides the correspondance between the solvers and the solvers structures:
+The following table provides the correspondence between the algorithms and their solver structures:
 
 | Algorithm           | Solver structure |
 | ------------------- | ---------------- |