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A Schur complement inequality for certain P-matrices

✍ Scribed by Thomas L. Markham; Ronald L. Smith

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
587 KB
Volume
281
Category
Article
ISSN
0024-3795

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✦ Synopsis

Suppose A and B are n Γ— n matrices over the complex field. An inequality is derived that relates the Schur complement of the Hadamard product of A and B and the Hadamard product of Schur complements of A and B for positive definite matrices. Then an analog is given for the class of tridiagonal totally nonnegative matrices. A similar result is give,1 for classes of Z-matrices where the Hadamard product is replaced by the Fan product.

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