Results 261 to 270 of about 155,998 (312)

A new upper bound for the growth factor in Gaussian elimination with complete pivoting

open access: yesBulletin of the London Mathematical Society, EarlyView.
Abstract The growth factor in Gaussian elimination measures how large the entries of an LU factorization can be relative to the entries of the original matrix. It is a key parameter in error estimates, and one of the most fundamental topics in numerical analysis. We produce an upper bound of n0.2079lnn+0.91$n^{0.2079 \ln n +0.91}$ for the growth factor
Ankit Bisain, Alan Edelman, John Urschel
wiley   +1 more source

A higher dimensional version of Fáry's theorem

open access: yesBulletin of the London Mathematical Society, EarlyView.
Abstract We prove a generalization of István Fáry's celebrated theorem to higher dimensions. Namely, we show that if a finite simplicial complex X$X$ can be piecewise linearly embedded into a d$d$‐dimensional PL manifold M$M$, then there is a triangulation of M$M$ containing X$X$ as a subcomplex.
Karim Adiprasito, Zuzana Patáková
wiley   +1 more source

Harmonic weak Maass forms and periods II. [PDF]

open access: yesMath Ann
Alfes C, Bruinier JH, Schwagenscheidt M.
europepmc   +1 more source

On the isomorphism problem for monoids of product‐one sequences

open access: yesBulletin of the London Mathematical Society, EarlyView.
Abstract Let G1$G_1$ and G2$G_2$ be torsion groups. We prove that the monoids of product‐one sequences over G1$G_1$ and over G2$G_2$ are isomorphic if and only if the groups G1$G_1$ and G2$G_2$ are isomorphic. This was known before for abelian groups.
Alfred Geroldinger, Jun Seok Oh
wiley   +1 more source

Preservation for generation along the structure morphism of coherent algebras over a scheme

open access: yesBulletin of the London Mathematical Society, EarlyView.
Abstract This work demonstrates classical generation is preserved by the derived pushforward along the structure morphism of a noncommutative coherent algebra to its underlying scheme. Additionally, we establish that the Krull dimension of a variety over a field is a lower bound for the Rouquier dimension of the bounded derived category associated with
Anirban Bhaduri, Souvik Dey, Pat Lank
wiley   +1 more source

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