Alignment in products of positive matrices and Birkhoff's contraction formula: an elementary direct derivation
Abstract
We revisit the classical problem of alignment in products of positive matrices. A direct analysis yields a sharp product misalignment bound, providing an elementary route to alignment and Birkhoff's contraction formula.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.