| Matrix has been playing an irreplaceable role in various academic fields and important topics.In terms of numerical calculation,matrix calculation needs a lot of time.Meanwhile,matrix theory also has important practical applications in computational mathematicsăstatisticsăcontrol theory and other fields.In recent years,many experts and scholars have done some work on the structural matrix.In this paper,our contribution is that complete non-positive matrix with high relative accuracy.Article basic structure is as follows:In chapter one,we mainly introduce introduces the background of structural matrix and the research status of matrix high relative accuracy;In chapter two,we mainly introduces the concepts of complete non-positive matrices and the specific process of Neville elimination;In chapter three,we mainly give the derivation process that the complete non-positive matrix can be inverted with high relative accuracy,give the corresponding algorithm and numerical examples;In chapter four,we mainly introduces the high relative accuracy solution the matrix with sign similarity complete non-positive matrix,including the solution of singular value and linear system,the high relative accuracy is verified by numerical examples;In chapter five,we mainly introduce the high relative accuracy solution the matrix with more general similar complete non-positive matrices. |