向量压缩控制与压缩单调函数

Vector Compression Control and Compression Monotonic Function

通过定义向量压缩控制与压缩单调函数,给出压缩单调函数的微分判别定理,用以克服向量控制和Schur凸凹函数的缺点.通过实例说明,向量压缩控制比经典的向量控制要狭窄,压缩单调增(减)函数比Schur凸(凹)函数范围要广.

This paper defines vector compression control and compression monotonic function, and presents a differential distinguishing theorem of compression monotonic function to overcome the defects of vector control and the Schur convex/concave function. With an example, it is shown that vector compression control is narrower than the classical vector control, and the compression monotonic increase/decrease function is broader than the Schur convex/concave function.