Fang, Liang; Liu, San-Yang; Yin, Xiao-Yan On positive definite solutions of a class of nonlinear matrix equation. (English) Zbl 1394.15008 Bull. Korean Math. Soc. 55, No. 2, 431-448 (2018). MSC: 15A24 65F15 65F35 PDFBibTeX XMLCite \textit{L. Fang} et al., Bull. Korean Math. Soc. 55, No. 2, 431--448 (2018; Zbl 1394.15008) Full Text: Link
Fang, Liang; Liu, Sanyang; Yin, Xiaoyan Positive definite solutions and perturbation analysis of a class of nonlinear matrix equations. (English) Zbl 1362.15008 J. Appl. Math. Comput. 53, No. 1-2, 245-269 (2017). Reviewer: Jaydeb Sarkar (Bangalore) MSC: 15A24 65F10 65F30 PDFBibTeX XMLCite \textit{L. Fang} et al., J. Appl. Math. Comput. 53, No. 1--2, 245--269 (2017; Zbl 1362.15008) Full Text: DOI
Yin, Xiaoyan; Wen, Ruiping; Fang, Liang On the nonlinear matrix equation \(X+\sum_{i=1}^{m} A_{i}^{*}X^{-q}A_{i}=Q\) \((0<q\leq1)\). (English) Zbl 1295.65053 Bull. Korean Math. Soc. 51, No. 3, 739-763 (2014). Reviewer: A. Arvanitoyeorgos (Patras) MSC: 65F30 15A24 65F10 PDFBibTeX XMLCite \textit{X. Yin} et al., Bull. Korean Math. Soc. 51, No. 3, 739--763 (2014; Zbl 1295.65053) Full Text: DOI
Yin, Xiaoyan; Fang, Liang Perturbation analysis for the positive definite solution of the nonlinear matrix equation \(X-\sum_{i=1}^mA_i^\ast X^{-1}A_i=Q\). (English) Zbl 1298.15024 J. Appl. Math. Comput. 43, No. 1-2, 199-211 (2013). Reviewer: John D. Dixon (Ottawa) MSC: 15A24 15A45 65H10 PDFBibTeX XMLCite \textit{X. Yin} and \textit{L. Fang}, J. Appl. Math. Comput. 43, No. 1--2, 199--211 (2013; Zbl 1298.15024) Full Text: DOI
Yin, Xiaoyan; Liu, Sanyang; Li, Tiexiang On positive definite solutions of the matrix equation \(X + A^* X^{-q} A = Q(0 < q \leq 1)\). (English) Zbl 1383.15015 Taiwanese J. Math. 16, No. 4, 1391-1407 (2012). Reviewer: Qing-Wen Wang (Shanghai) MSC: 15A24 65F10 65H05 PDFBibTeX XMLCite \textit{X. Yin} et al., Taiwanese J. Math. 16, No. 4, 1391--1407 (2012; Zbl 1383.15015) Full Text: DOI Link
Yin, Xiaoyan; Liu, Sanyang Positive definite solutions of the matrix equations. (English) Zbl 1198.15014 Comput. Math. Appl. 59, No. 12, 3727-3739 (2010). MSC: 15A24 15B48 PDFBibTeX XMLCite \textit{X. Yin} and \textit{S. Liu}, Comput. Math. Appl. 59, No. 12, 3727--3739 (2010; Zbl 1198.15014) Full Text: DOI
Yin, Xiao-Yan; Liu, San-Yang On positive definite solutions of nonlinear matrix equation \(X^s-A^{*}X^{-t}A=Q\). (English) Zbl 1187.65044 Appl. Math. Comput. 216, No. 1, 27-34 (2010). Reviewer: Vladimir P. Kostov (Nice) MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{X.-Y. Yin} and \textit{S.-Y. Liu}, Appl. Math. Comput. 216, No. 1, 27--34 (2010; Zbl 1187.65044) Full Text: DOI
Yin, Xiaoyan; Liu, Sanyang; Xiao, Gang Solution and perturbation estimates for the matrix equation \(X-A^*X^{-2}A=Q\). (Chinese. English summary) Zbl 1212.15031 Math. Numer. Sin. 31, No. 2, 151-158 (2009). MSC: 15A24 15B57 65F30 15A12 PDFBibTeX XMLCite \textit{X. Yin} et al., Math. Numer. Sin. 31, No. 2, 151--158 (2009; Zbl 1212.15031)
Yin, Xiaoyan; Liu, Sanyang; Fang, Liang Solutions and perturbation estimates for the matrix equation \(X^s+A^*X^{-t}A=Q\). (English) Zbl 1179.15015 Linear Algebra Appl. 431, No. 9, 1409-1421 (2009). Reviewer: Edgar Pereira (Covilha) MSC: 15A24 15A45 65F30 15B48 PDFBibTeX XMLCite \textit{X. Yin} et al., Linear Algebra Appl. 431, No. 9, 1409--1421 (2009; Zbl 1179.15015) Full Text: DOI
Yin, Xiaoyan; Liu, Sanyang; Fang, Liang On Hermitian positive definite solutions of a type of nonlinear matrix equations. (Chinese. English summary) Zbl 1174.15347 Chin. J. Eng. Math. 25, No. 4, 597-604 (2008). MSC: 15A24 65F30 PDFBibTeX XMLCite \textit{X. Yin} et al., Chin. J. Eng. Math. 25, No. 4, 597--604 (2008; Zbl 1174.15347)
Yin, Xiaoyan; Liu, Sanyang; Fang, Liang Solutions and perturbation estimates for the matrix equation \(X+A^*X^{-n}A=P\). (Chinese. English summary) Zbl 1164.65390 Math. Numer. Sin. 30, No. 1, 37-48 (2008). MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{X. Yin} et al., Math. Numer. Sin. 30, No. 1, 37--48 (2008; Zbl 1164.65390)