General Ten-Instant DTDMSR Model for Dynamic Matrix Square Root Finding.

Because of its extensive appearance and application in scientific research and industrial production, the matrix square root problem has received massive attention and study. In this paper, based on our previous work, by using zeroing neural dynamics (ZND) method, a continuous-time dynamic matrix square root (CTDMSR) model is given at first. Besides, a general ten-instant Zhang et al. discretization (ZeaD) formula is derived, constructed and investigated, and the corresponding theoretical analysis is provided. Next, by applying this general formula to discretize the CTDMSR model, a general ten-instant discrete-time dynamic matrix square root (DTDMSR) model with sixth-order precision is further obtained. For comparison purposes, four DTDMSR models, with the second-, third-, fourth-, and fifth-order precision, are also acquired and presented, respectively, by using other ZeaD formulas. At last, the effectiveness and correctness of the proposed DTDMSR models for dynamic matrix square root finding are further substantiated by numerical experimental results. [ABSTRACT FROM AUTHOR]