Li, Bin; Lei, Yuan Hybrid algorithms with active set prediction for solving linear inequalities in a least squares sense. (English) Zbl 1492.65164 Numer. Algorithms 90, No. 3, 1327-1356 (2022). MSC: 65K05 PDFBibTeX XMLCite \textit{B. Li} and \textit{Y. Lei}, Numer. Algorithms 90, No. 3, 1327--1356 (2022; Zbl 1492.65164) Full Text: DOI
Freitas, Juliana Campos de; Florentino, Helenice de Oliveira; Benedito, Antone dos Santos; Cantane, Daniela Renata Optimization model applied to radiotherapy planning problem with dose intensity and beam choice. (English) Zbl 1472.92121 Appl. Math. Comput. 387, Article ID 124786, 13 p. (2020). MSC: 92C50 90C05 90C51 90C90 PDFBibTeX XMLCite \textit{J. C. de Freitas} et al., Appl. Math. Comput. 387, Article ID 124786, 13 p. (2020; Zbl 1472.92121) Full Text: DOI
Lei, Yuan; Liao, An-Ping; Qiao, Wen-Long Iterative methods for solving consistent or inconsistent matrix inequality \({AXB} \geqslant C\) with linear constraints. (English) Zbl 1443.65065 Appl. Math. Modelling 39, No. 14, 4151-4163 (2015). MSC: 65F99 15A39 65F10 PDFBibTeX XMLCite \textit{Y. Lei} et al., Appl. Math. Modelling 39, No. 14, 4151--4163 (2015; Zbl 1443.65065) Full Text: DOI
Lei, Yuan The inexact fixed matrix iteration for solving large linear inequalities in a least squares sense. (English) Zbl 1322.65068 Numer. Algorithms 69, No. 1, 227-251 (2015). Reviewer: Hans Benker (Merseburg) MSC: 65K05 90C05 PDFBibTeX XMLCite \textit{Y. Lei}, Numer. Algorithms 69, No. 1, 227--251 (2015; Zbl 1322.65068) Full Text: DOI
Ketabchi, Saeed; Moosaei, Hossein Optimal error correction and methods of feasible directions. (English) Zbl 1252.90063 J. Optim. Theory Appl. 154, No. 1, 209-216 (2012). MSC: 90C25 90C32 PDFBibTeX XMLCite \textit{S. Ketabchi} and \textit{H. Moosaei}, J. Optim. Theory Appl. 154, No. 1, 209--216 (2012; Zbl 1252.90063) Full Text: DOI
Yao, Yonghong; Chen, Rudong; Marino, Giuseppe; Liou, Yeong Cheng Applications of fixed-point and optimization methods to the multiple-set split feasibility problem. (English) Zbl 1245.49051 J. Appl. Math. 2012, Article ID 927530, 21 p. (2012). MSC: 49N45 PDFBibTeX XMLCite \textit{Y. Yao} et al., J. Appl. Math. 2012, Article ID 927530, 21 p. (2012; Zbl 1245.49051) Full Text: DOI
Ehrgott, Matthias; Güler, çiğdem; Hamacher, Horst W.; Shao, Lizhen Mathematical optimization in intensity modulated radiation therapy. (English) Zbl 1185.90219 Ann. Oper. Res. 175, 309-365 (2010). MSC: 90C90 PDFBibTeX XMLCite \textit{M. Ehrgott} et al., Ann. Oper. Res. 175, 309--365 (2010; Zbl 1185.90219) Full Text: DOI
Daescu, Ovidiu; Palmer, James Minimum separation in weighted subdivisions. (English) Zbl 1173.65012 Int. J. Comput. Geom. Appl. 19, No. 1, 33-57 (2009). Reviewer: H. P. Dikshit (Bhopal) MSC: 65D18 65K05 90C30 PDFBibTeX XMLCite \textit{O. Daescu} and \textit{J. Palmer}, Int. J. Comput. Geom. Appl. 19, No. 1, 33--57 (2009; Zbl 1173.65012) Full Text: DOI
Dax, Achiya A hybrid algorithm for solving linear inequalities in a least squares sense. (English) Zbl 1165.65029 Numer. Algorithms 50, No. 2, 97-114 (2009). Reviewer: Karel Zimmermann (Praha) MSC: 65K05 90C20 90C05 PDFBibTeX XMLCite \textit{A. Dax}, Numer. Algorithms 50, No. 2, 97--114 (2009; Zbl 1165.65029) Full Text: DOI
Ehrgott, Matthias; Güler, Çiğdem; Hamacher, Horst W.; Shao, Lizhen Mathematical optimization in intensity modulated radiation therapy. (English) Zbl 1168.90019 4OR 6, No. 3, 199-262 (2008). MSC: 90C90 90C30 90C29 90C27 90C11 90C05 PDFBibTeX XMLCite \textit{M. Ehrgott} et al., 4OR 6, No. 3, 199--262 (2008; Zbl 1168.90019) Full Text: DOI
Daescu, Ovidiu; Palmer, James Dean Modeling optimal beam treatment with weighted regions for bio-medical applications. (English) Zbl 1161.92035 Gavrilova, Marina (ed.), Generalized Voronoi diagram. A geometry-based approach to computational intelligence. Berlin: Springer (ISBN 978-3-540-85125-7/hbk). Studies in Computational Intelligence 158, 215-232 (2008). MSC: 92C50 92C55 92-04 65C20 PDFBibTeX XMLCite \textit{O. Daescu} and \textit{J. D. Palmer}, Stud. Comput. Intell. 158, 215--232 (2008; Zbl 1161.92035) Full Text: DOI
Censor, Yair; Ben-Israel, Adi; Xiao, Ying; Galvin, James M. On linear infeasibility arising in intensity-modulated radiation therapy inverse planning. (English) Zbl 1130.92030 Linear Algebra Appl. 428, No. 5-6, 1406-1420 (2008). MSC: 92C50 90C59 PDFBibTeX XMLCite \textit{Y. Censor} et al., Linear Algebra Appl. 428, No. 5--6, 1406--1420 (2008; Zbl 1130.92030) Full Text: DOI Link
Dax, Achiya The \(\ell_1\) solution of linear inequalities. (English) Zbl 1429.65122 Comput. Stat. Data Anal. 50, No. 1, 40-60 (2006). MSC: 65K05 90C05 62-08 PDFBibTeX XMLCite \textit{A. Dax}, Comput. Stat. Data Anal. 50, No. 1, 40--60 (2006; Zbl 1429.65122) Full Text: DOI
Dax, Achiya The distance between two convex sets. (English) Zbl 1131.90031 Linear Algebra Appl. 416, No. 1, 184-213 (2006). MSC: 90C08 52A20 90C46 PDFBibTeX XMLCite \textit{A. Dax}, Linear Algebra Appl. 416, No. 1, 184--213 (2006; Zbl 1131.90031) Full Text: DOI
Lodwick, Weldon A.; Bachman, Katherine A. Solving large-scale fuzzy and possibilistic optimization problems. (English) Zbl 1117.90079 Fuzzy Optim. Decis. Mak. 4, No. 4, 257-278 (2005). MSC: 90C70 90C06 90C90 PDFBibTeX XMLCite \textit{W. A. Lodwick} and \textit{K. A. Bachman}, Fuzzy Optim. Decis. Mak. 4, No. 4, 257--278 (2005; Zbl 1117.90079) Full Text: DOI
Tervo, J.; Kolmonen, P. Data fitting model for the kernel of integral operator from radiation therapy. (English) Zbl 1069.92513 Math. Comput. Modelling 28, No. 3, 59-77 (1998). MSC: 92C50 45G10 45B05 PDFBibTeX XMLCite \textit{J. Tervo} and \textit{P. Kolmonen}, Math. Comput. Modelling 28, No. 3, 59--77 (1998; Zbl 1069.92513) Full Text: DOI
Raphael, Christopher Radiation therapy treatment planning: An \(\mathcal L^ 2\) approach. (English) Zbl 0765.92016 Appl. Math. Comput. 52, No. 2-3, 251-277 (1992). Reviewer: L.Berg (Rostock) MSC: 92C50 65K10 PDFBibTeX XMLCite \textit{C. Raphael}, Appl. Math. Comput. 52, No. 2--3, 251--277 (1992; Zbl 0765.92016) Full Text: DOI
Aharoni, Ron; Censor, Yair Block-iterative projection methods for parallel computation of solutions to convex feasibility problems. (English) Zbl 0679.65046 Linear Algebra Appl. 120, 165-175 (1989). Reviewer: A.Roose MSC: 65K05 65Y05 90C99 PDFBibTeX XMLCite \textit{R. Aharoni} and \textit{Y. Censor}, Linear Algebra Appl. 120, 165--175 (1989; Zbl 0679.65046) Full Text: DOI
Censor, Yair Parallel application of block-iterative methods in medical imaging and radiation therapy. (English) Zbl 0658.90099 Math. Program., Ser. B 42, No. 2, 307-325 (1988). MSC: 90C90 65K05 PDFBibTeX XMLCite \textit{Y. Censor}, Math. Program. 42, No. 2 (B), 307--325 (1988; Zbl 0658.90099) Full Text: DOI