arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2103.02541math.CV
收藏

多元有理正实函数的正长预解式表示

Representation of rational positive real functions of several variables by means of positive long resolvent

M. F. Bessmertnyi

摘要:

给出了一个有理齐次(一次)正实矩阵值函数作为系数为正半定矩阵的线性束的Schur补。有理正实函数的偏导数分子是多项式的平方和。

英文摘要:

A rational homogeneous (of degree one) positive real matrix-valued function is presented as the Schur complement of a block of the linear pencil with positive semidefinite matrix coefficients. The partial derivative numerators of a rational positive real function are the sums of squares of polynomials.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑