Results 1 to 10 of about 70 (62)

Rational points of the symmetric diagonal equations

Proceedings of the Indian Academy of Sciences: Mathematical Sciences, 2021
It is evident from the literature that diophantine equations of different forms have long been of interest to mathematicians. In this work, Jalali, Janfada and Shabani-Solt consider the diophantine equation \(x^5 + ky^q + \ell z^r = u^5 + k v^q + \ell w^r\), where \(k\) and \(\ell\) are nonzero rational numbers.
A S Janfada
exaly   +3 more sources

Rational points on an intersection of diagonal forms

Acta Arithmetica, 2022
We consider intersections of n diagonal forms of degrees k 1 < $\bullet$ $\bullet$ $\bullet$ < kn, and we prove an asymptotic formula for the number of rational points of bounded height on these varieties. The proof uses the Hardy-Littlewood method and recent breakthroughs on the Vinogradov system.
Olivier Robert
exaly   +4 more sources

Diagonal Fixed Points of Geometric Contractions

Springer Optimization and Its Applications, 2018
A geometric Meir-Keeler extension is given for the diagonal fixed point result in Ciric and Presic (Acta Math Comenianae 76:143–147, 2007).
Mihai Turinici, Turinici Mihai
exaly   +2 more sources

Extreme points in Diagonal-disjoint ideals of nest algebras

Acta Mathematica Scientia, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shijie Lu
exaly   +2 more sources

Multivariate approximants with branch points - II. Off-diagonal approximants

Proceedings of the Royal Society of London Series A, Mathematical and Physical Sciences, 1978
Abstract In a previous paper, t-power N-variable diagonal approximants were defined. This scheme of approximants with branch points is extended by defining off-diagonal t-power N-variable approximants; there is some degree of choice in the defining equations.
J S R Chisholm
exaly   +2 more sources

Approximating the diagonal of a Hessian: which sample set of points should be used

Numerical Algorithms, 2022
Gabriel Jarry–Bolduc
exaly  

Adaptive diagonal sparse matrix-vector multiplication on GPU

Journal of Parallel and Distributed Computing, 2021
Jiaquan Gao, Guixia He
exaly  

Algorithm 704: ABDPACK and ABBPACK-FORTRAN programs for the solution of almost block diagonal linear systems arising in spline collocation at Gaussian points with monomial basis functions

ACM Transactions on Mathematical Software, 1992
Graeme Fairweather, John R Rice
exaly  

Subspace Clustering by Block Diagonal Representation

IEEE Transactions on Pattern Analysis and Machine Intelligence, 2019
Canyi Lu, Jiashi Feng, Zhouchen Lin
exaly  

The solution of almost block diagonal linear systems arising in spline collocation at Gaussian points with monomial basis functions

ACM Transactions on Mathematical Software, 1992
Graeme Fairweather
exaly