一类部分Toeplitz正定阵的Toeplitz正定完成

A Class of Positive Definite Completion Problem for Partial Positive Definite Toeplitz Matrices

并不是所有的部分正定Toeplitz矩阵都有Toeplitz正定完成 ,也并不是每个有正定完成的部分正定矩阵都有Toeplitz正定完成 .

Not every partial positive definite Toeplitz matrix has Toeplitz positive definite completion and not every partial positive definite matrix which has positive definite completion has Toeplitz positive definite completion. We consider a special class of partial positive definite Toeplitz matrices which has Toeplitz positive definite completion.