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

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[documentation] Add a page about the foundations of Krylov methods#593
amontoison wants to merge 1 commit into
JuliaSmoothOptimizers:mainfrom
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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

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amontoison requested a review from dpo June 9, 2022 21:28
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Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 98.05%. Comparing base (80bea76) to head (526f74f).
⚠️ Report is 451 commits behind head on main.

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

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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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