Polyak, Boris; Tremba, Andrey New versions of Newton method: step-size choice, convergence domain and under-determined equations. (English) Zbl 1464.90112 Optim. Methods Softw. 35, No. 6, 1272-1303 (2020). MSC: 90C53 65H10 90C30 58C15 PDFBibTeX XMLCite \textit{B. Polyak} and \textit{A. Tremba}, Optim. Methods Softw. 35, No. 6, 1272--1303 (2020; Zbl 1464.90112) Full Text: DOI arXiv
Polyak, B. T. Newton’s method and its use in optimization. (English) Zbl 1123.90070 Eur. J. Oper. Res. 181, No. 3, 1086-1096 (2007). MSC: 90C30 90C53 90C51 65K05 PDFBibTeX XMLCite \textit{B. T. Polyak}, Eur. J. Oper. Res. 181, No. 3, 1086--1096 (2007; Zbl 1123.90070) Full Text: DOI
Polyak, B. T. Newton-Kantorovich method and its global convergence. (English) Zbl 1080.65534 J. Math. Sci., New York 133, No. 4, 1513-1523 (2006) and Zap. Nauchn. Semin. POMI 312, 256-274, 316 (2004). MSC: 65H10 65J15 47J25 65K05 90C25 90C51 PDFBibTeX XMLCite \textit{B. T. Polyak}, J. Math. Sci., New York 133, No. 4, 1513--1523 (2006; Zbl 1080.65534) Full Text: DOI EuDML