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The phrase "almost optimal method" is correct and usable in written English.
It can be used when discussing a technique or approach that is very close to being the best or most efficient, but not quite there.
Example: "The researchers developed an almost optimal method for solving the complex problem, which significantly improved the results compared to previous attempts."
Alternatives: "nearly optimal approach" or "close to optimal technique".
Exact(1)
For isolating as well as for approximating all complex roots, the best algorithm known is based on an almost optimal method for approximate polynomial factorization, introduced by Pan in 2002.
Similar(59)
And each of us, he believes, has our most optimal method, based on how we work and how we respond to light.
Specifically, if we let β k (s) denote the smallest possible error (in the ℓ1-norm) that can be achieved by approximating a signal s by a k-sparse vector z β k ( s ) : = inf { ∥ s − z ∥ ℓ 1, ∥ z ∥ ℓ 0 ≤ k }, then the vector s ̂ produced by the ℓ1-reconstruction method is almost optimal in the sense that ∥ s − s ̂ ∥ ℓ 1 ≤ C β k ( s ) for some constant C independent of s.
This was almost twice the number than generated by the optimal method, due to the regions left empty by the first-fit method.
Our model indicates that the RTS/CTS access method with the default parameters operates in a region almost optimal in terms of saturation throughput.
In his seminal paper, after stating the Harnack estimates, Moser proved almost optimal estimates for the parabolic kernel by using the so called 'Harnack chain' method.
Theory and numerical experiments show that the method is accurate and efficient, yielding excellent long-term accuracy in almost optimal CPU time.
In Ref. [29], the tearing and interconnecting approach of finite element methods is used in the context of isogeometric analysis, and the numerical tests (in absence of any theoretical study) suggest almost optimal (with a logarithmic factor) convergence rates of the proposed isogeometric tearing and interconnecting method.
This weakness is repaired by a suitable modification of the original functions giving a class of balanced functions with almost optimal resistance to FAA whose nonlinearity is better than the nonlinearity of other methods.
This paper deals with new design methods for self-optimizing control structures, i.e., the selection of controlled variables which guarantee almost optimal operation.
In this case, the new algorithm is almost optimal.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com