Homotopy Method for General $\lambda $-Matrix Problems

This paper describes a homotopy method used to solve the kth-degree $\lambda $-matrix problem $( A_k \lambda ^k + A_{k - 1} \lambda ^{k - 1} + \cdots + A_1 \lambda + A_0 )x = 0$. A special homotopy equation is constructed for the case where all coefficients are general $n\times n$ complex matrices. ... View More