Título: On the composition of two linear projections
Ponente: Heinz Bauschke (University of British Columbia, Canada)
Fecha y hora: 21/06/2024, 12:00
Inscripción online (cierre 30 minutos antes del inicio): https://forms.gle/1w2VsCzvayzWuDxg8
Lugar: Sala de Seminarios (UMH Campus de Elche, Edificio Torretamarit) y online
Organizador: Javier Toledo Melero
Abstract:
Projection operators are fundamental algorithmic operators in Analysis and Optimization. It is well known that these operators are firmly nonexpansive; however, their composition is generally only averaged and no longer firmly nonexpansive. In this talk, we introduce the modulus of averagedness and provide an exact result for the composition of two linear projection operators. As a consequence, we deduce that the Ogura-Yamada bound for the modulus of the composition is sharp. Based on joint work with Theo Bendit and Walaa Moursi.
Breve biografía:
Dr. Heinz Bauschke is a Full Professor of Mathematics at the University of British Columbia, Kelowna campus, Canada. His research interests lie in optimization and nonlinear analysis. Dr. Bauschke has authored more than 150 refereed publications including several books. He has also collaborated with engineers from industry, published in IEEE journals, received two patents, and became a SIAM Fellow in 2024.