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[documentation] Add a page about the foundations of Krylov methods #593

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I could give a link to this page to justify my message in this discussion: https://discourse.julialang.org/t/how-to-solve-this-ax-b-faster/81693/22

@amontoison amontoison requested a review from dpo June 9, 2022 21:28
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codecov bot commented Jun 9, 2022

Codecov Report

Merging #593 (526f74f) into main (80bea76) will not change coverage.
The diff coverage is n/a.

@@           Coverage Diff           @@
##             main     #593   +/-   ##
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  Coverage   98.05%   98.05%           
=======================================
  Files          35       35           
  Lines        5957     5957           
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  Hits         5841     5841           
  Misses        116      116           

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github-actions bot commented Jun 9, 2022

Package name latest stable
CaNNOLeS.jl
DCISolver.jl
JSOSolvers.jl
LLSModels.jl
Percival.jl
RipQP.jl

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Are the docs the right place to add such background? The background only talks about square systems. I think that if you really want some background in here, it should be less specific and more general: Krylov methods build approximations by constructing subspaces of increasing dimension and choosing the approximations using an optimization problem.

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