2008 | OriginalPaper | Chapter
A Matrix and its Inverse: Revisiting Minimal Rank Completions
Author : Hugo J. Woerdeman
Published in: Recent Advances in Matrix and Operator Theory
Publisher: Birkhäuser Basel
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We revisit a formula that connects the minimal ranks of triangular parts of a matrix and its inverse and relate the result to structured rank matrices. We also address a generic minimal rank problem that was proposed by David Ingerman and Gilbert Strang.