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Structure of invertible (bi)infinite totally positive matrices

✍ Scribed by C. de Boor; Rong-qing Jia; A. Pinkus

Book ID
107824935
Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
822 KB
Volume
47
Category
Article
ISSN
0024-3795

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πŸ“œ SIMILAR VOLUMES

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The standard definition of convergence of an infinite product of scalars is extended to the infinite product P = II~B, of k x k matrices; that is, P is convergent according to the definition given here if and only if there is an integer N such that Bn is invertible for n ~>N and P = lim,~ II~,=uBm i

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An n Γ— m real matrix A is said to be totally positive (strictly totally positive) if every minor is nonnegative (positive). In this paper, we study characterizations of these classes of matrices by minors, by their full rank factorization and by their thin QR factorization.