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A Quasi-Newton Method Employing Direct Secant Updates of Matrix Factorizations
A quasi-Newton algorithm is presented which employs an initial factorization of the approximate Jacobian matrix. The method then updates the upper and lower triangular factors directly at each step.
Oscillation criteria for second order nonlinear differential equations with an “integrally small” coefficient
has been studied by Bhatia [ 1 J, Bobisud [ 21, Butler [3], Erbe [ 51, Kamenev [ 71, Onose [ 12-14 ], Waltman [ 15 ], and Wong [ 16 ]. The survey paper of Wong [ 171 and the more recent survey by
1978 Annual Supplement
Conjugate point properties for an even order linear differential equation
Consider an even order equation D ny 0, where D is defined recursively by Doy = y, ak,k+,Dky t(= y)D t akiD. yiwhere a.. is continuous on [0, oo), a i+1> 0, i=1,.., n1,+ a, 1, and aij =0 for j > i +
The president's game
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