Results 11 to 20 of about 306,033 (284)
Constructive conditions for the existence of a nonlinear Noether integral-differential boundary value problem are found. An iterative scheme with quadratic convergence is constructed to find the solution of a nonlinear integral-differential boundary ...
С. М. Чуйко +2 more
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A new approach for the bigeometric newton method
In this study, quadratic convergent new bigeometric Newton's method (nBGNM) was developed. For this, the basic definitions and theorems of bigeometric analysis, which is one of the non-Newtonian analysis, were used. Using the bigeometric Taylor expansion,
Numan Yalçın, Ercan Celık
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Analyzing weak lensing of the cosmic microwave background using the likelihood function [PDF]
Future experiments will produce high-resolution temperature maps of the cosmic microwave background (CMB) and are expected to reveal the signature of gravitational lensing by intervening large-scale structures.
Hirata, Christopher M., Seljak, Uroš
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Quadratic convergence of vortex methods [PDF]
We prove quadratic convergence for two-dimensional vortex methods with positive cutoffs. The result is established for flows with initial vorticity three times continuously differentiable and compact support. The proof is based on a refined version of a convergence result.
openaire +1 more source
On the convergence of the quadratic method [PDF]
The convergence of the so-called quadratic method for computing eigenvalue enclosures of general self-adjoint operators is examined. Explicit asymptotic bounds for convergence to isolated eigenvalues are found.
Boulton, Lyonell, Hobiny, Aatef
core +3 more sources
Consider the problem of finding the maximal nonpositive solvent $ \varPhi $ of the quadratic matrix equation (QME) $ X^2 + BX + C = 0 $ with $ B $ being a nonsingular $ M $-matrix and $ C $ an $ M $-matrix such that $ B^{-1}C\ge 0 $. Such QME arises from
Cairong Chen
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Nonquadratic estimators of a quadratic functional [PDF]
Estimation of a quadratic functional over parameter spaces that are not quadratically convex is considered. It is shown, in contrast to the theory for quadratically convex parameter spaces, that optimal quadratic rules are often rate suboptimal.
Cai, T. Tony, Low, Mark G.
core +4 more sources
Approximate Zeros of Quadratically Convergent Algorithms [PDF]
Smale’s condition for a point to be an approximate zero of a function for Newton’s method is extended to the general quadratically convergent iterative algorithm. It is shown in which way the bound in the condition is affected by the characteristics of the algorithm.
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The Polynomial Pivots as Initial Values for a New Root-Finding Iterative Method
A new iterative method for polynomial root-finding based on the development of two novel recursive functions is proposed. In addition, the concept of polynomial pivots associated with these functions is introduced.
Mario Lázaro +3 more
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In this paper we propose a class of smoothing Newton-type methods for solving the second-order cone complementarity problem (SOCCP). The proposed method design is based on a special regularized Chen-Harker-Kanzow-Smale (CHKS) smoothing function. When the
Li Dong, Jingyong Tang
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