**Contact Info**

Department of Applied Mathematics

University of Waterloo

Waterloo, Ontario

Canada N2L 3G1

Phone: 519-888-4567, ext. 32700

Fax: 519-746-4319

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Wednesday, February 8, 2012 — 3:30 PM to 4:30 PM EST

**Minghua Lin**, PhD Candidate

Department of Applied Mathematics, University of Waterloo

The notion of Loewner (partial) order for general complex matrices is introduced. A square complex matrix is accretive-dissipative if both of its real and imaginary part are positive definite. After giving the definition of arithmetic, geometric and harmonic means for accretivedissipative matrices, we study their basic properties, in particular, A-G-H mean inequality is established for two accretive-dissipative matrices in the sense of this extended Loewner order.

Location

University of Waterloo

MC 5136

,

Canada

,

Canada

**Contact Info**

Department of Applied Mathematics

University of Waterloo

Waterloo, Ontario

Canada N2L 3G1

Phone: 519-888-4567, ext. 32700

Fax: 519-746-4319

PDF files require Adobe Acrobat Reader

University of Waterloo

University of Waterloo

43.471468

-80.544205

200 University Avenue West

Waterloo,
ON,
Canada
N2L 3G1

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