Principal Submatrices VII : Further Results Concerning Matrices With Equal Principal Minors *

نویسنده

  • R. C. Thompson
چکیده

This paper characte rizes real symmetri c matri ces A s uch that all t X t princ ipal minors a re equal and a ll t X t nonprinc ipal minors a re of fixed sign, for two consecutive values of t less than rank A. It a lso cha rac te rizes matrices A (over an arbitrary fi eld ) in which a ll t X t principal minors are equal and all nonprin cipal t X t minors a re e qua l, for one fixed value of t less than rank A.

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تاریخ انتشار 2010