TWO ITERATION METHODS FOR SOLVING LINEAR ALGEBRAIC SYSTEMS WITH LOW ORDER MATRIX A AND HIGH ORDER MATRIX B:Y=(AB)Y Ф

1. IntroductionIt is wen known that for IvP of stiff ODEsy, = f(y), to < t 5 T y(to) ~ yo E R", f: fi E R" E R", m >> 0 (1.1)implicit method with good stability have to be used, e.g., IRK methods[7], implicitblock methods[4'12--lv,18], etc. At each illtegral step, each of all these methods bringsabout solving block nonlinear equation systemsY = h(A @ Im)F(Y) afl, A E R'*,, Y,F(y), 4 E Rm,, ms >> 0, (1.2)where h is the stepsize, @ kronecker product, Im e Rm identity matrix, Y = (y…