The main resultin this paper is in that we obtained an appropriate identity forthe non- SPD problems, which is suitably applied to devise or improvealgorithms for singular and especially nearly singular system ofequations. The related results and the corresponding estimate ofthe convergence rate of...
Newton's Method for Underdetermined Systems of Equations Under the γ-Condition The convergence criterion of Newton''s method for underdetermined system of equations under the -condition is established and the radius of the convergence... JS He,JH Wang,C Li - 《Numerical Functional Analysis & Opt...
Methods of Solving Singular Systems of Ordinary Differential Equations (Y. Boyarintsev) A system of linear ordinary differential equations is examined on an infinite half-interval. This system is supplemented by the boundedness condition for s... Stephen,L.,Campbell - 《Siam Review》 被引量: 1...
If A in (1) is not hpd, the typical approach to obtain a randomized algorithm is to consider randomized Kaczmarz methods, i.e., coordinate descent for one of the normal equations A∗Ax = A∗b or AA∗y = b with corresponding convex and differentiable functionals f1(x) = x∗A...
The Kervaire Conjecture is correct if it can be shown to hold for non-singular systems of equations of length 3. In this paper we prove it for the case of equations over a groupGwhere each equation has the formaxbx1cy= 1 fora, b, cG. DOI: 10.1017/S0013091500023993 年份: 1997 收藏...
The semi-classical and the inviscid limit in quantum trajectory models given by a one-dimensional steady-state hydrodynamic system for quantum fluids are r... IM Gamba,A Jungel - 《Communications in Partial Differential Equations》 被引量: 30发表: 2002年 ...
In the case of a square Jacobian, the manipulability reduces to the absolute value of the determinant of the Jacobian. Angeles and Rojas [3] utilized the concept of the condition number, which provides a measure of the amplification of the roundoff error in solving a system of equations. ...
Given a linear, infinite dimensional control system with point target and "full" control we show that singular extremals for the minimum norm problem exist except in certain exceptional cases ("singular" means "not satisfying Pontryagin's maximum principle"). Existence of singular extremals implies ...
The authors consider a system of integral equations ∫ E i F i (y)(y-x) -1 dy+∑ =1 n ∫ E K i (x,y)F i (y)dy=f i (x),x∈E i ,(i=1,2,···,n) with conditions ∫ E ik F i (y)dy=0, k=1,2,···,m i , where E i =∪ k=1 m i E ik , E ik...
Minimal instability and unstable set of a phase-locked periodic orbit in a delayed neural network The existence of a non-trivial phase-locked periodic orbit is established for a system of delay differential equations describing the dynamics of networks ... Y Chen,J Wu - 《Physica D-nonlinear ...