Zhang Neural Networks for Fast and Accurate Computations of the Field of\n Values

In this paper a new and different neural network, called Zhang Neural Network\n(ZNN) is appropriated from discrete time-varying matrix problems and applied to\nthe angle parameter-varying matrix field of values (FoV) problem. This problem\nacts as a test bed for newly discovered convergent 1-step ahead finite\ndifference formulas of high truncation orders. The ZNN method that uses a\nlook-ahead finite difference scheme of error order 6 gives us 15+ accurate\ndigits of the FoV boundary in record time when applied to hermitean matrix\nflows $A(t)$.\n