Results 221 to 230 of about 11,203 (263)

Some remarks about deformation theory and formality conjecture. [PDF]

Ann Univ Ferrara Sez 7 Sci Mat
Chen H, Pertusi L, Zhao X.
europepmc   +1 more source

Progressively Projected Newton's Method

Computer Graphics Forum, EarlyView.
Abstract Newton's Method is widely used to find the solution of complex non‐linear simulation problems. To guarantee a descent direction, it is common practice to clamp the negative eigenvalues of each element Hessian prior to assembly—a strategy known as Projected Newton (PN)—but this perturbation often hinders convergence.
J. A. Fernández‐Fernández, F. Löschner, J. Bender   +2 more
wiley   +1 more source

Register‐Efficient Linear‐Time Evaluation in the Bernstein Basis

Computer Graphics Forum, EarlyView.
Abstract We investigate the evaluation of points and derivatives of Bézier curves and surfaces on modern architectures, focusing on performance and guided by numerical error bounds. While the de Casteljau algorithm remains the reference for numerical robustness, its linear working‐set size imposes substantial register pressure on GPUs.
Gábor Valasek, Anna Lili Horváth
wiley   +1 more source

Shadow hamiltonian simulation. [PDF]

Nat Commun
Somma RD, King R, Kothari R, O'Brien TE, Babbush R.   +4 more
europepmc   +1 more source

Isometries of Spacetimes Without Observer Horizons. [PDF]

Commun Math Phys
García-Heveling L, Zeghib A.
europepmc   +1 more source

Characterizing barren plateaus in quantum ansätze with the adjoint representation. [PDF]

Nat Commun
Fontana E, Herman D, Chakrabarti S, Kumar N, Yalovetzky R, Heredge J, Sureshbabu SH, Pistoia M.   +7 more
europepmc   +1 more source

Classical and Quantised Resolvent Algebras for the Cylinder. [PDF]

Ann Henri Poincare
van Nuland TDH, Stienstra R.
europepmc   +1 more source

Modular geodesics and wedge domains in non-compactly causal symmetric spaces. [PDF]

Ann Glob Anal Geom (Dordr)
Morinelli V, Neeb KH, Ólafsson G.
europepmc   +1 more source

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On Contractions of Lie Algebras

Mathematics in Computer Science, 2016
In this paper, the authors consider the notion of contraction of Lie algebras for the class of filiform Lie algebras, i.e. nilpotent Lie algebras with a maximal nilpotence index. This analysis is carried out using the notion of generalized derivations introduced in [\textit{P. Novotný} and \textit{J. Hrivnák}, J. Geom. Phys. 58, No.
J. M. Escobar, Juan Núñez 0001, Pedro Pérez-Fernández   +2 more
openaire   +1 more source

Algebra, Lie Group and Lie Algebra

2010
Geometry, algebra, and analysis are usually called the three main branches of mathematics. This chapter introduces some fundamental results in algebra that are mostly useful in systems and control. In section 4.1 some basic concepts of group and three homomorphism theorems are discussed. Ring and algebra are introduced briefly in section 4.2. As a tool,
Daizhan Cheng, Xiaoming Hu, Tielong Shen
openaire   +1 more source