?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.relation=https%3A%2F%2Fpure.iiasa.ac.at%2Fid%2Feprint%2F4568%2F&rft.title=Proximal+Minimization+Methods+with+Generalized+Bregman+Functions&rft.creator=Kiwiel%2C+K.&rft.description=We+consider+methods+for+minimizing+a+convex+function+%24f%24+that+generate+a+sequence+%24%7Bx%5Ek%7D%24+by+taking+%24x%5E%7Bk%2B1%7D%24+to+be+an+approximate+minimizer+of+%24f(x)%2BD_h(x%2Cx%5Ek)%2Fc_k%24%2C+where+%24c_k%3E0%24+and+%24D_h%24+is+the+%24D%24-function+of+a+Bregman+function+%24h%24.++Extensions+are+made+to+%24B%24-functions+that+generalize+Bregman+functions+and+cover+more+applications.++Convergence+is+established+under+criteria+amenable+to+implementation.+Applications+are+made+to+nonquadratic+multiplier+methods+for+nonlinear+programs.&rft.publisher=WP-95-024&rft.date=1995-03&rft.type=Monograph&rft.type=NonPeerReviewed&rft.format=text&rft.language=en&rft.identifier=https%3A%2F%2Fpure.iiasa.ac.at%2Fid%2Feprint%2F4568%2F1%2FWP-95-024.pdf&rft.identifier=++Kiwiel%2C+K.++(1995).++Proximal+Minimization+Methods+with+Generalized+Bregman+Functions.+++IIASA+Working+Paper.+IIASA%2C+Laxenburg%2C+Austria%3A+WP-95-024+++++