O'Reilly logo

Totally Nonnegative Matrices by Charles R. Johnson, Shaun M. Fallat

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

Chapter Seven

Row and Column Inclusion and the Distribution of Rank

7.0 INTRODUCTION

Recall that an m-by-n matrix A is said to be rank deficient if

Just as with zero entries (see Section 1.6), the distribution of ranks among submatrices of a TN matrix is much less free than in a general matrix. Rank deficiency of submatrices in certain positions requires rank deficiency elsewhere. Whereas, in the case of general matrices, rank deficiency of a large submatrix can imply rank deficiency of smaller, included submatrices, in the TN case rank deficiency ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required