Matrix Beam Method and Some its Applications in Radio Electronics

The authors' modification of the matrix bean method is developed and the complete description, as far as possible, of its algorithm features. Examples of method application are given typical for the circuit theory and radio electronics in time and operator domains. In particular, the approximation of some Bessel functions is examined with an accuracy of order of 10
^-12
...10
^-10
in the interval (0, 100) by the exponential polynomial of the 92
^nd
order; the order reduction up to five times of the transient characteristics of the multi-stage amplifier on the single tuned at the same frequency circuits with accuracy ∝ 10
^-3
; the order reduction from seventh to third of the transient function of FET of the microwave range with an accuracy to units of percent's. The other possible areas of method application are considered.