Abstract
The question of which ratios of products of principal minors are bounded over all matrices in a given class has been of interest historically. This question is settled herein for the class of tridiagonal sign-symmetric Pmatrices, which essentially lies in each of the classes: positive definite, invertible totally nonnegative and M-matrices. It happens that all bounded ratios are bounded by one.
Citation
Shaun M. Fallat. Charles R. Johnson. "MULTIPLICATIVE PRINCIPAL-MINOR INEQUALITIES FOR TRIDIAGONAL SIGN-SYMMETRIC P-MATRICES." Taiwanese J. Math. 5 (3) 655 - 665, 2001. https://doi.org/10.11650/twjm/1500574958
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