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15 Jul 2023: FOUNDATIONS METHODS. • Σ1 Π1 computer-assisted proofs. • Much of computational literature not sharp! ... 11] Colbrook, Matthew J. "On the computation of geometric features of spectra of linear operators on Hilbert spaces." Foundations of

7 Mar 2023: With this set of computational tools in hand, we focus on computing the following physical prop-erties of TIs:. ... Remark 3 (Foundations of computation). Our methods form part of a wider programme on thefoundations of computations.

11 Jan 2023: Mathematics Subject Classification: 65K0, 65B99, 68Q25, 90C25, 90C60. 1 Introduction. First-order methods are the workhorse of much of modern continuous optimization [6, 10, 24, 59].They are widely used to ... The main difference is theinclusion of the

21 Feb 2023: Keywords. Computational spectral problem, Solvability Complexity Index hierarchy, Smale’sprogram on the foundations of computational mathematics, computer-assisted proofs. ... Smale’s work and his program onthe foundations of computational