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Some inequalities for the Hadamard product of anM-matrix and an inverseM-matrix

✍ Scribed by Duanmei Zhou, Guoliang Chen, Guoxing Wu…

Book ID
120732626
Publisher
Hindawi Publishing Corporation
Year
2013
Tongue
English
Weight
189 KB
Volume
2013
Category
Article
ISSN
1025-5834

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📜 SIMILAR VOLUMES

On an inequality for the Hadamard produc
On an inequality for the Hadamard product of an M-matrix and its inverse
✍ Yongzhong Song 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 61 KB

When A ∈ R n×n is an M-matrix we prove the following inequality: where A • B is the Hadamard product of two matrices A and B, q(B) = [p(B -1 )] -1 and p(C) denotes the Perron eigenvalue of a nonnegative matrix C. This also gives a positive answer to the conjecture posed by Fiedler and Markham.

Some inequalities for singular values of
Some inequalities for singular values of matrix products
✍ Bo-Ying Wang; Bo-Yan Xi 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 213 KB

Let crl(C) >/ ... /> cr,(C) denote the singular values of a matrix C ~ C "xm, and let 1 ~1 k o. r A r k r r ~t=l i,( )orn\\_t+l(B) and ~.kt=lo'tr(AB) ~ Et=lo'~(A)tr,\\_i,+l(B), where A C p×", B ~ C nxm. We also consider the cases for the product of three matrices and more.