Principal submatrices .VII. Further results concerning matrices with equal principal minors
R.C. Thompson · Journal of Research of the National Bureau of Standards Section B Mathematical Sciences · 1968
This paper c haracte rizes real s ymmetri c matri ces A s uc h that all t X t prin c ipal minors a re equal and a ll t X t nonprinc ipal minors a re of fix ed sign , for two consec utive values of t less than rank A. It a lso c ha rac te rizes ma trices A (over a n arbitrary fi eld ) in which a ll t X t prin cipal minors are e qu a l and all nonprin cipal t X t min ors a re e qua l, for o ne fixed value of t less than ra nk A.