Qi, Hou-Duo A convex matrix optimization for the additive constant problem in multidimensional scaling with application to locally linear embedding. (English) Zbl 1354.49058 SIAM J. Optim. 26, No. 4, 2564-2590 (2016). MSC: 49M15 90C25 90C33 PDFBibTeX XMLCite \textit{H.-D. Qi}, SIAM J. Optim. 26, No. 4, 2564--2590 (2016; Zbl 1354.49058) Full Text: DOI
Qi, Hou-Duo; Yuan, Xiaoming Computing the nearest Euclidean distance matrix with low embedding dimensions. (English) Zbl 1304.49051 Math. Program. 147, No. 1-2 (A), 351-389 (2014). Reviewer: Bülent Karasözen (Ankara) MSC: 49M15 49M37 90C25 90C33 PDFBibTeX XMLCite \textit{H.-D. Qi} and \textit{X. Yuan}, Math. Program. 147, No. 1--2 (A), 351--389 (2014; Zbl 1304.49051) Full Text: DOI Link
Qi, Hou-Duo A semismooth Newton method for the nearest Euclidean distance matrix problem. (English) Zbl 1266.49052 SIAM J. Matrix Anal. Appl. 34, No. 1, 67-93 (2013). MSC: 49M15 90C25 90C33 PDFBibTeX XMLCite \textit{H.-D. Qi}, SIAM J. Matrix Anal. Appl. 34, No. 1, 67--93 (2013; Zbl 1266.49052) Full Text: DOI Link
Li, Qingna; Qi, Hou-Duo A sequential semismooth Newton method for the nearest low-rank correlation matrix problem. (English) Zbl 1236.49070 SIAM J. Optim. 21, No. 4, 1641-1666 (2011). MSC: 49M15 90C25 90C33 93E24 PDFBibTeX XMLCite \textit{Q. Li} and \textit{H.-D. Qi}, SIAM J. Optim. 21, No. 4, 1641--1666 (2011; Zbl 1236.49070) Full Text: DOI Link
Qi, Houduo; Sun, Defeng An augmented Lagrangian dual approach for the \(H\)-weighted nearest correlation matrix problem. (English) Zbl 1218.65061 IMA J. Numer. Anal. 31, No. 2, 491-511 (2011). MSC: 65K05 PDFBibTeX XMLCite \textit{H. Qi} and \textit{D. Sun}, IMA J. Numer. Anal. 31, No. 2, 491--511 (2011; Zbl 1218.65061) Full Text: DOI
Li, Qingna; Li, Donghui; Qi, Houduo Newton’s method for computing the nearest correlation matrix with a simple upper bound. (English) Zbl 1229.90118 J. Optim. Theory Appl. 147, No. 3, 546-568 (2010). Reviewer: Satoshi Ito (Tokyo) MSC: 90C22 49M15 65K05 PDFBibTeX XMLCite \textit{Q. Li} et al., J. Optim. Theory Appl. 147, No. 3, 546--568 (2010; Zbl 1229.90118) Full Text: DOI
Qi, Houduo; Sun, Defeng A quadratically convergent Newton method for computing the nearest correlation matrix. (English) Zbl 1120.65049 SIAM J. Matrix Anal. Appl. 28, No. 2, 360-385 (2006). Reviewer: Adhemar Bultheel (Leuven) MSC: 65F20 65C60 90C25 62H20 65K05 PDFBibTeX XMLCite \textit{H. Qi} and \textit{D. Sun}, SIAM J. Matrix Anal. Appl. 28, No. 2, 360--385 (2006; Zbl 1120.65049) Full Text: DOI Link
Dontchev, Asen L.; Qi, Hou-Duo; Qi, Liqun; Yin, Hongxia A Newton method for shape-preserving spline interpolation. (English) Zbl 1027.41016 SIAM J. Optim. 13, No. 2, 588-602 (2002). Reviewer: E.Deeba (Houston) MSC: 41A29 65D15 49J52 90C25 PDFBibTeX XMLCite \textit{A. L. Dontchev} et al., SIAM J. Optim. 13, No. 2, 588--602 (2002; Zbl 1027.41016) Full Text: DOI
Dontchev, Asen L.; Qi, Houduo; Qi, Liqun Convergence of Newton’s method for convex best interpolation. (English) Zbl 0970.65009 Numer. Math. 87, No. 3, 435-456 (2001). Reviewer: Jacek Gilewicz (Marseille) MSC: 65D05 41A29 41A05 PDFBibTeX XMLCite \textit{A. L. Dontchev} et al., Numer. Math. 87, No. 3, 435--456 (2001; Zbl 0970.65009) Full Text: DOI