✦ LIBER ✦

Review of Totally Positive Matrices by Allan Pinkus

✍ Scribed by Jürgen Garloff

Publisher: Elsevier Science
Year: 2010
Tongue: English
Weight: 69 KB
Volume: 433
Category: Article
ISSN: 0024-3795
DOI: 10.1016/j.laa.2010.04.032

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

An interlacing property of eigenvalues o

An interlacing property of eigenvalues of strictly totally positive matrices

✍ Allan Pinkus 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 272 KB

We prove results concerning the interlacing of eigenvalues of principal submatrices of strictly totally positive (STP) matrices.

Sums of totally positive matrices

✍ C.R. Johnson; D.D. Olesky 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 184 KB

Possible spectra of totally positive mat

Possible spectra of totally positive matrices

✍ Wayne W. Barrett; Charles R. Johnson 📂 Article 📅 1984 🏛 Elsevier Science 🌐 English ⚖ 148 KB

Characterizations of rectangular totally

Characterizations of rectangular totally and strictly totally positive matrices

✍ Rafael Cantó; Beatriz Ricarte; Ana M. Urbano 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 177 KB

An n × 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.

The LU-factorization of totally positive

The LU-factorization of totally positive matrices

✍ Colin W. Cryer 📂 Article 📅 1973 🏛 Elsevier Science 🌐 English ⚖ 471 KB

Weak interlacing properties of totally p

Weak interlacing properties of totally positive matrices

✍ Shmuel Friedland 📂 Article 📅 1985 🏛 Elsevier Science 🌐 English ⚖ 291 KB