A proof on 3-by-3 border pattern TP completability

Hi! My project in this summer is to prove whether a partial matrix with certain pattern is completable or not. In this blog, I will prove that a 3-by-3 matrix with only center entry unspecified is  TP completable. I will also introduce one principle and one lemma that will help build my proofs in the next blog.

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Abstract: Matrix Completion Problems

Hi! My name is Haoge Chang. I am currently a junior in the college and I am majoring in Applied Mathematics and Economics. I will be conducting research on matrix completion problems this summer, focusing on the completion problems of totally nonnegative matrices and totally positive matrices.  I hope that through my research I could discover more interesting properties of these problems.

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