Zhang, Xing; Zheng, Yanpeng; Jiang, Zhaolin; Byun, Heejung Fast algorithms for perturbed Toeplitz-plus-Hankel system based on discrete cosine transform and their applications. (English) Zbl 07791042 Japan J. Ind. Appl. Math. 41, No. 1, 567-583 (2024). MSC: 65F05 65F15 15B05 15A18 PDFBibTeX XMLCite \textit{X. Zhang} et al., Japan J. Ind. Appl. Math. 41, No. 1, 567--583 (2024; Zbl 07791042) Full Text: DOI
Wei, Yunlan; Zheng, Yanpeng; Jiang, Zhaolin Skew-circulant matrix and critical points of polynomials. (English) Zbl 07811264 J. Math. Inequal. 17, No. 4, 1427-1431 (2023). MSC: 14A25 15A42 15B05 PDFBibTeX XMLCite \textit{Y. Wei} et al., J. Math. Inequal. 17, No. 4, 1427--1431 (2023; Zbl 07811264) Full Text: DOI
Zhang, Xing; Zheng, Yanpeng; Jiang, Zhaolin; Byun, Heejung Numerical algorithms for corner-modified symmetric Toeplitz linear system with applications to image encryption and decryption. (English) Zbl 07734314 J. Appl. Math. Comput. 69, No. 2, 1967-1987 (2023). MSC: 65Fxx 15B05 PDFBibTeX XMLCite \textit{X. Zhang} et al., J. Appl. Math. Comput. 69, No. 2, 1967--1987 (2023; Zbl 07734314) Full Text: DOI
Meng, Qingyan; Zheng, Yanpeng; Jiang, Zhaolin Determinants and inverses of weighted Loeplitz and weighted Foeplitz matrices and their applications in data encryption. (English) Zbl 1504.11051 J. Appl. Math. Comput. 68, No. 6, 3999-4015 (2022). MSC: 11C20 15A09 15A15 15B05 65F05 65F40 PDFBibTeX XMLCite \textit{Q. Meng} et al., J. Appl. Math. Comput. 68, No. 6, 3999--4015 (2022; Zbl 1504.11051) Full Text: DOI
Wei, Yunlan; Zheng, Yanpeng; Jiang, Zhaolin; Shon, Sugoog The inverses and eigenpairs of tridiagonal Toeplitz matrices with perturbed rows. (English) Zbl 1490.15040 J. Appl. Math. Comput. 68, No. 1, 623-636 (2022). MSC: 15B05 15A15 15A18 15A09 PDFBibTeX XMLCite \textit{Y. Wei} et al., J. Appl. Math. Comput. 68, No. 1, 623--636 (2022; Zbl 1490.15040) Full Text: DOI
Meng, Qingyan; Zheng, Yanpeng; Jiang, Zhaolin Exact determinants and inverses of (2,3,3)-Loeplitz and (2,3,3)-Foeplitz matrices. (English) Zbl 1499.15126 Comput. Appl. Math. 41, No. 1, Paper No. 35, 13 p. (2022). MSC: 15B36 11C20 15A09 15A15 PDFBibTeX XMLCite \textit{Q. Meng} et al., Comput. Appl. Math. 41, No. 1, Paper No. 35, 13 p. (2022; Zbl 1499.15126) Full Text: DOI
Zhang, Xing; Jiang, Xiaoyu; Jiang, Zhaolin; Byun, Heejung An improvement of methods for solving the CUPL-Toeplitz linear system. (English) Zbl 1510.65056 Appl. Math. Comput. 421, Article ID 126932, 7 p. (2022). MSC: 65F05 15B05 65Y20 PDFBibTeX XMLCite \textit{X. Zhang} et al., Appl. Math. Comput. 421, Article ID 126932, 7 p. (2022; Zbl 1510.65056) Full Text: DOI
Jiang, Zhaolin; Zheng, Yanpeng; Li, Tianzi Characteristic polynomial, determinant and inverse of a Fibonacci-Sylvester-Kac matrix. (English) Zbl 1478.15011 Spec. Matrices 10, 40-46 (2022). Reviewer: Ian M. Wanless (Clayton) MSC: 15A15 15A18 11B39 11C20 PDFBibTeX XMLCite \textit{Z. Jiang} et al., Spec. Matrices 10, 40--46 (2022; Zbl 1478.15011) Full Text: DOI
Hu, Wenjie; Zheng, Yanpeng; Jiang, Zhaolin Fermat-Sylvester-Kac matrix. (English) Zbl 1499.15124 Adv. Appl. Discrete Math. 27, No. 2, 157-172 (2021). MSC: 15B36 15A30 PDFBibTeX XMLCite \textit{W. Hu} et al., Adv. Appl. Discrete Math. 27, No. 2, 157--172 (2021; Zbl 1499.15124) Full Text: DOI
Guo, Zhenyu; Zheng, Yanpeng; Jiang, Zhaolin On Gaussian Fibonacci-Sylvester-Kac matrix. (English) Zbl 1499.15123 JP J. Algebra Number Theory Appl. 51, No. 1, 27-40 (2021). MSC: 15B36 11C20 11B39 PDFBibTeX XMLCite \textit{Z. Guo} et al., JP J. Algebra Number Theory Appl. 51, No. 1, 27--40 (2021; Zbl 1499.15123) Full Text: DOI
Fu, Yaru; Jiang, Xiaoyu; Jiang, Zhaolin; Jhang, Seongtae Fast algorithms for finding the solution of CUPL-Toeplitz linear system from Markov chain. (English) Zbl 1508.65018 Appl. Math. Comput. 396, Article ID 125859, 5 p. (2021). MSC: 65F05 15B05 60J22 PDFBibTeX XMLCite \textit{Y. Fu} et al., Appl. Math. Comput. 396, Article ID 125859, 5 p. (2021; Zbl 1508.65018) Full Text: DOI
Wei, Yunlan; Zheng, Yanpeng; Jiang, Zhaolin; Shon, Sugoog Determinants, norms and spreads of skew circulant matrices involving the sum of Pell and Pell-Lucas numbers. (English) Zbl 1499.13022 Adv. Appl. Discrete Math. 23, No. 1, 13-24 (2020). MSC: 13A30 15A15 47A30 PDFBibTeX XMLCite \textit{Y. Wei} et al., Adv. Appl. Discrete Math. 23, No. 1, 13--24 (2020; Zbl 1499.13022) Full Text: DOI
Wei, Yunlan; Zheng, Yanpeng; Jiang, Zhaolin; Shon, Sugoog Fast algorithms for multiplication of Foeplitz matrix and vector from interesting inverse. (English) Zbl 1483.65075 JP J. Algebra Number Theory Appl. 46, No. 2, 123-131 (2020). MSC: 65F99 15A09 15B05 PDFBibTeX XMLCite \textit{Y. Wei} et al., JP J. Algebra Number Theory Appl. 46, No. 2, 123--131 (2020; Zbl 1483.65075) Full Text: DOI
Zhao, Jiali; Jiang, Zhaolin Explicit inverse and determinant of perturbed triband Toeplitz matrix involving the Fibonacci numbers. (English) Zbl 1486.15007 JP J. Algebra Number Theory Appl. 45, No. 1, 85-100 (2020). MSC: 15A09 15A15 15B05 11B39 11C20 PDFBibTeX XMLCite \textit{J. Zhao} and \textit{Z. Jiang}, JP J. Algebra Number Theory Appl. 45, No. 1, 85--100 (2020; Zbl 1486.15007) Full Text: DOI
Wang, Shuo; Jiang, Zhaolin; Zheng, Yanpeng Determinants, inverses and eigenvalues of two symmetric positive definite matrices with Pell and Pell-Lucas numbers. (English) Zbl 1486.15016 Adv. Differ. Equ. Control Process. 22, No. 2, 83-95 (2020). MSC: 15A18 15A09 15A15 15B36 11B39 11C20 PDFBibTeX XMLCite \textit{S. Wang} et al., Adv. Differ. Equ. Control Process. 22, No. 2, 83--95 (2020; Zbl 1486.15016) Full Text: DOI
Wei, Yunlan; Jiang, Xiaoyu; Jiang, Zhaolin; Shon, Sugoog On inverses and eigenpairs of periodic tridiagonal Toeplitz matrices with perturbed corners. (English) Zbl 1467.15003 J. Appl. Anal. Comput. 10, No. 1, 178-191 (2020). Reviewer: Jorma K. Merikoski (Tampere) MSC: 15A15 15A09 15B05 15A18 65F05 PDFBibTeX XMLCite \textit{Y. Wei} et al., J. Appl. Anal. Comput. 10, No. 1, 178--191 (2020; Zbl 1467.15003) Full Text: DOI
Fu, Yaru; Jiang, Xiaoyu; Jiang, Zhaolin; Jhang, Seongtae Inverses and eigenpairs of tridiagonal Toeplitz matrix with opposite-bordered rows. (English) Zbl 1458.15007 J. Appl. Anal. Comput. 10, No. 4, 1599-1613 (2020). MSC: 15A09 15B05 15A15 15A18 11B39 PDFBibTeX XMLCite \textit{Y. Fu} et al., J. Appl. Anal. Comput. 10, No. 4, 1599--1613 (2020; Zbl 1458.15007) Full Text: DOI
Fu, Yaru; Jiang, Xiaoyu; Jiang, Zhaolin; Jhang, Seongtae Analytic determinants and inverses of Toeplitz and Hankel tridiagonal matrices with perturbed columns. (English) Zbl 1457.15029 Spec. Matrices 8, 131-143 (2020). Reviewer: Carlos M. da Fonseca (Safat) MSC: 15B05 15A15 15A09 11C20 PDFBibTeX XMLCite \textit{Y. Fu} et al., Spec. Matrices 8, 131--143 (2020; Zbl 1457.15029) Full Text: DOI
Fu, Yaru; Jiang, Xiaoyu; Jiang, Zhaolin; Jhang, Seongtae Properties of a class of perturbed Toeplitz periodic tridiagonal matrices. (English) Zbl 1449.15069 Comput. Appl. Math. 39, No. 3, Paper No. 146, 19 p. (2020). MSC: 15B05 15A09 15A15 15A18 65F50 PDFBibTeX XMLCite \textit{Y. Fu} et al., Comput. Appl. Math. 39, No. 3, Paper No. 146, 19 p. (2020; Zbl 1449.15069) Full Text: DOI
Jiang, Zhaolin; Lin, Mathieu A Harnack type eigenvalue inequality. (English) Zbl 1429.15017 Linear Algebra Appl. 585, 45-49 (2020). Reviewer: Yiu Tung Poon (Ames) MSC: 15A42 15A45 PDFBibTeX XMLCite \textit{Z. Jiang} and \textit{M. Lin}, Linear Algebra Appl. 585, 45--49 (2020; Zbl 1429.15017) Full Text: DOI
Wei, Yunlan; Zheng, Yanpeng; Jiang, Zhaolin; Shon, Sugoog Invertibility and explicit inverses of skew circulant matrices involving the sum of Pell and Pell-Lucas numbers. (English) Zbl 1499.11087 Adv. Appl. Discrete Math. 22, No. 2, 243-253 (2019). MSC: 11B39 15A09 15B99 PDFBibTeX XMLCite \textit{Y. Wei} et al., Adv. Appl. Discrete Math. 22, No. 2, 243--253 (2019; Zbl 1499.11087) Full Text: DOI
Wei, Yunlan; Jiang, Xiaoyu; Jiang, Zhaolin; Shon, Sugoog Determinants and inverses of perturbed periodic tridiagonal Toeplitz matrices. (English) Zbl 1485.15009 Adv. Difference Equ. 2019, Paper No. 410, 11 p. (2019). MSC: 15A09 15A15 15B05 PDFBibTeX XMLCite \textit{Y. Wei} et al., Adv. Difference Equ. 2019, Paper No. 410, 11 p. (2019; Zbl 1485.15009) Full Text: DOI
Zhang, Maoyun; Jiang, Xiaoyu; Jiang, Zhaolin Explicit determinants, inverses and eigenvalues of four band Toeplitz matrices with perturbed rows. (English) Zbl 1432.15028 Spec. Matrices 7, 52-66 (2019). MSC: 15B05 15A15 15A09 PDFBibTeX XMLCite \textit{M. Zhang} et al., Spec. Matrices 7, 52--66 (2019; Zbl 1432.15028) Full Text: DOI
Zuo, Baishuai; Jiang, Zhaolin; Fu, Deqian Determinants and inverses of Ppoeplitz and Ppankel matrices. (English) Zbl 1394.15020 Spec. Matrices 6, 201-215 (2018). Reviewer: Jorma K. Merikoski (Tampere) MSC: 15B05 11B39 15A15 PDFBibTeX XMLCite \textit{B. Zuo} et al., Spec. Matrices 6, 201--215 (2018; Zbl 1394.15020) Full Text: DOI
Jiang, Zhaolin; Sun, Jixiu Determinant and inverse of a Gaussian Fibonacci skew-Hermitian Toeplitz matrix. (English) Zbl 1412.15027 J. Nonlinear Sci. Appl. 10, No. 7, 3694-3707 (2017). MSC: 15B05 15A09 15A15 PDFBibTeX XMLCite \textit{Z. Jiang} and \textit{J. Sun}, J. Nonlinear Sci. Appl. 10, No. 7, 3694--3707 (2017; Zbl 1412.15027) Full Text: DOI
Jiang, Zhao-Lin; Chen, Xiao-Ting; Wang, Jian-Min The explicit inverses of CUPL-Toeplitz and CUPL-Hankel matrices. (English) Zbl 1373.15010 East Asian J. Appl. Math. 7, No. 1, 38-54 (2017). MSC: 15A09 15B05 PDFBibTeX XMLCite \textit{Z.-L. Jiang} et al., East Asian J. Appl. Math. 7, No. 1, 38--54 (2017; Zbl 1373.15010) Full Text: DOI
Jiang, Zhao Lin; Qiao, Yun Cheng; Wang, Shu Dong Norm equalities and inequalities for three circulant operator matrices. (English) Zbl 1419.15017 Acta Math. Sin., Engl. Ser. 33, No. 4, 571-590 (2017). MSC: 15A45 15A60 47A50 47C05 15B05 PDFBibTeX XMLCite \textit{Z. L. Jiang} et al., Acta Math. Sin., Engl. Ser. 33, No. 4, 571--590 (2017; Zbl 1419.15017) Full Text: DOI
Jiang, Zhao-lin; Chen, Jun-xiu The explicit inverse of nonsingular conjugate-Toeplitz and conjugate-Hankel matrices. (English) Zbl 1365.15041 J. Appl. Math. Comput. 53, No. 1-2, 1-16 (2017). Reviewer: Rabe von Randow (Bonn) MSC: 15B05 15A09 65G50 65F05 PDFBibTeX XMLCite \textit{Z.-l. Jiang} and \textit{J.-x. Chen}, J. Appl. Math. Comput. 53, No. 1--2, 1--16 (2017; Zbl 1365.15041) Full Text: DOI
Jiang, Zhaolin; Tam, Tin-Yau; Wang, Yanfeng Inversion of conjugate-Toeplitz matrices and conjugate-Hankel matrices. (English) Zbl 1361.15005 Linear Multilinear Algebra 65, No. 2, 256-268 (2017). Reviewer: Juan Ramon Torregrosa Sanchez (Valencia) MSC: 15A09 15B05 65F05 PDFBibTeX XMLCite \textit{Z. Jiang} et al., Linear Multilinear Algebra 65, No. 2, 256--268 (2017; Zbl 1361.15005) Full Text: DOI
Jiang, Zhao-Lin; Tang, Xia Analysis of the structured perturbation for the BSCCB linear system. (English) Zbl 1410.15002 Appl. Math. Comput. 277, 1-9 (2016). MSC: 15A06 65F35 PDFBibTeX XMLCite \textit{Z.-L. Jiang} and \textit{X. Tang}, Appl. Math. Comput. 277, 1--9 (2016; Zbl 1410.15002) Full Text: DOI
Jiang, Zhaolin; Wang, Dandan Explicit group inverse of an innovative patterned matrix. (English) Zbl 1410.15008 Appl. Math. Comput. 274, 220-228 (2016). MSC: 15A09 15B05 PDFBibTeX XMLCite \textit{Z. Jiang} and \textit{D. Wang}, Appl. Math. Comput. 274, 220--228 (2016; Zbl 1410.15008) Full Text: DOI
Jiang, ZhaoLin; Xu, TingTing Norm estimates of \(\omega\)-circulant operator matrices and isomorphic operators for \(\omega\)-circulant algebra. (English) Zbl 1348.47031 Sci. China, Math. 59, No. 2, 351-366 (2016). MSC: 47C05 42B35 47A50 47C15 15A60 PDFBibTeX XMLCite \textit{Z. Jiang} and \textit{T. Xu}, Sci. China, Math. 59, No. 2, 351--366 (2016; Zbl 1348.47031) Full Text: DOI
Pan, Hongyan; Jiang, Zhaolin VanderLaan circulant type matrices. (English) Zbl 1470.15026 Abstr. Appl. Anal. 2015, Article ID 329329, 11 p. (2015). MSC: 15B05 PDFBibTeX XMLCite \textit{H. Pan} and \textit{Z. Jiang}, Abstr. Appl. Anal. 2015, Article ID 329329, 11 p. (2015; Zbl 1470.15026) Full Text: DOI
Jiang, Zhaolin; Xin, Hongxia; Wang, Hongwei On computing of positive integer powers for \(r\)-circulant matrices. (English) Zbl 1410.65122 Appl. Math. Comput. 265, 409-413 (2015). MSC: 65F30 15B57 PDFBibTeX XMLCite \textit{Z. Jiang} et al., Appl. Math. Comput. 265, 409--413 (2015; Zbl 1410.65122) Full Text: DOI
Tang, Xia; Jiang, Zhaolin Analysis of the structured perturbation for the BCSCB linear system. (English) Zbl 1351.15017 Abstr. Appl. Anal. 2015, Article ID 471362, 8 p. (2015). MSC: 15B36 15A21 PDFBibTeX XMLCite \textit{X. Tang} and \textit{Z. Jiang}, Abstr. Appl. Anal. 2015, Article ID 471362, 8 p. (2015; Zbl 1351.15017) Full Text: DOI
Gong, Yanpeng; Jiang, Zhaolin; Gao, Yun On Jacobsthal and Jacobsthal-Lucas circulant type matrices. (English) Zbl 1351.15016 Abstr. Appl. Anal. 2015, Article ID 418293, 11 p. (2015). MSC: 15B36 15A09 PDFBibTeX XMLCite \textit{Y. Gong} et al., Abstr. Appl. Anal. 2015, Article ID 418293, 11 p. (2015; Zbl 1351.15016) Full Text: DOI
Jiang, Zhaolin; Wei, Yunlan Skew circulant type matrices involving the sum of Fibonacci and Lucas numbers. (English) Zbl 1383.15027 Abstr. Appl. Anal. 2015, Article ID 951340, 9 p. (2015). MSC: 15B05 15B36 PDFBibTeX XMLCite \textit{Z. Jiang} and \textit{Y. Wei}, Abstr. Appl. Anal. 2015, Article ID 951340, 9 p. (2015; Zbl 1383.15027) Full Text: DOI
Xu, Wenai; Jiang, Zhaolin Norms and spread of the Fibonacci and Lucas RSFMLR circulant matrices. (English) Zbl 1383.15031 Abstr. Appl. Anal. 2015, Article ID 428146, 8 p. (2015). MSC: 15B36 15B05 15A60 PDFBibTeX XMLCite \textit{W. Xu} and \textit{Z. Jiang}, Abstr. Appl. Anal. 2015, Article ID 428146, 8 p. (2015; Zbl 1383.15031) Full Text: DOI
Liu, Li; Jiang, Zhaolin Explicit form of the inverse matrices of tribonacci circulant type matrices. (English) Zbl 1383.15028 Abstr. Appl. Anal. 2015, Article ID 169726, 10 p. (2015). MSC: 15B05 15B36 15A09 PDFBibTeX XMLCite \textit{L. Liu} and \textit{Z. Jiang}, Abstr. Appl. Anal. 2015, Article ID 169726, 10 p. (2015; Zbl 1383.15028) Full Text: DOI
Jiang, Zhaolin; Zhou, Jianwei A note on spectral norms of even-order \( r\)-circulant matrices. (English) Zbl 1328.15036 Appl. Math. Comput. 250, 368-371 (2015). MSC: 15A60 PDFBibTeX XMLCite \textit{Z. Jiang} and \textit{J. Zhou}, Appl. Math. Comput. 250, 368--371 (2015; Zbl 1328.15036) Full Text: DOI
Yao, Jin-jiang; Jiang, Zhao-lin The determinants, inverses, norm, and spread of skew circulant type matrices involving any continuous Lucas numbers. (English) Zbl 1437.15052 J. Appl. Math. 2014, Article ID 239693, 10 p. (2014). MSC: 15B57 15A15 15A60 PDFBibTeX XMLCite \textit{J.-j. Yao} and \textit{Z.-l. Jiang}, J. Appl. Math. 2014, Article ID 239693, 10 p. (2014; Zbl 1437.15052) Full Text: DOI
Jiang, Zhaolin; Li, Dan The invertibility, explicit determinants, and inverses of circulant and left circulant and \(g\)-circulant matrices involving any continuous Fibonacci and Lucas numbers. (English) Zbl 1474.15081 Abstr. Appl. Anal. 2014, Article ID 931451, 14 p. (2014). MSC: 15B36 PDFBibTeX XMLCite \textit{Z. Jiang} and \textit{D. Li}, Abstr. Appl. Anal. 2014, Article ID 931451, 14 p. (2014; Zbl 1474.15081) Full Text: DOI
Xu, Tingting; Jiang, Zhaolin; Jiang, Ziwu Explicit determinants of the RFP\(r\)L\(r\)R circulant and RLP\(r\)F\(r\)L circulant matrices involving some famous numbers. (English) Zbl 1474.15075 Abstr. Appl. Anal. 2014, Article ID 647030, 9 p. (2014). MSC: 15B05 15A15 PDFBibTeX XMLCite \textit{T. Xu} et al., Abstr. Appl. Anal. 2014, Article ID 647030, 9 p. (2014; Zbl 1474.15075) Full Text: DOI
Jiang, Zhaolin; Xin, Hongxia; Lu, Fuliang Gaussian Fibonacci circulant type matrices. (English) Zbl 1474.15073 Abstr. Appl. Anal. 2014, Article ID 592782, 10 p. (2014). MSC: 15B05 PDFBibTeX XMLCite \textit{Z. Jiang} et al., Abstr. Appl. Anal. 2014, Article ID 592782, 10 p. (2014; Zbl 1474.15073) Full Text: DOI
Jiang, Zhaolin; Li, Juan; Zhou, Jianwei Optimal backward perturbation analysis for the block skew circulant linear systems with skew circulant blocks. (English) Zbl 1474.15012 Abstr. Appl. Anal. 2014, Article ID 523102, 8 p. (2014). MSC: 15A06 65F35 PDFBibTeX XMLCite \textit{Z. Jiang} et al., Abstr. Appl. Anal. 2014, Article ID 523102, 8 p. (2014; Zbl 1474.15012) Full Text: DOI
Jiang, Zhaolin On the minimal polynomials and the inverses of multilevel scaled factor circulant matrices. (English) Zbl 1474.15072 Abstr. Appl. Anal. 2014, Article ID 521643, 10 p. (2014). MSC: 15B05 PDFBibTeX XMLCite \textit{Z. Jiang}, Abstr. Appl. Anal. 2014, Article ID 521643, 10 p. (2014; Zbl 1474.15072) Full Text: DOI
Jiang, Zhaolin; Yao, Jinjiang; Lu, Fuliang On skew circulant type matrices involving any continuous Fibonacci numbers. (English) Zbl 1470.11027 Abstr. Appl. Anal. 2014, Article ID 483021, 10 p. (2014). MSC: 11B39 15A15 PDFBibTeX XMLCite \textit{Z. Jiang} et al., Abstr. Appl. Anal. 2014, Article ID 483021, 10 p. (2014; Zbl 1470.11027) Full Text: DOI
Jiang, Zhaolin; Xu, Tingting; Lu, Fuliang Isomorphic operators and functional equations for the skew-circulant algebra. (English) Zbl 1470.15016 Abstr. Appl. Anal. 2014, Article ID 418194, 8 p. (2014). MSC: 15A30 15A60 PDFBibTeX XMLCite \textit{Z. Jiang} et al., Abstr. Appl. Anal. 2014, Article ID 418194, 8 p. (2014; Zbl 1470.15016) Full Text: DOI
Li, Juan; Jiang, Zhaolin; Lu, Fuliang Determinants, norms, and the spread of circulant matrices with Tribonacci and generalized Lucas numbers. (English) Zbl 1473.15013 Abstr. Appl. Anal. 2014, Article ID 381829, 9 p. (2014). MSC: 15A15 11C20 11B39 PDFBibTeX XMLCite \textit{J. Li} et al., Abstr. Appl. Anal. 2014, Article ID 381829, 9 p. (2014; Zbl 1473.15013) Full Text: DOI
Jiang, Zhaolin; Gong, Yanpeng; Gao, Yun Circulant type matrices with the sum and product of Fibonacci and Lucas numbers. (English) Zbl 1472.15007 Abstr. Appl. Anal. 2014, Article ID 375251, 12 p. (2014). MSC: 15A15 15A09 15B05 11C20 11B39 PDFBibTeX XMLCite \textit{Z. Jiang} et al., Abstr. Appl. Anal. 2014, Article ID 375251, 12 p. (2014; Zbl 1472.15007) Full Text: DOI
Jiang, Zhaolin Fast algorithms for solving FLS \(R\)-factor block circulant linear systems and inverse problem of \(\mathcal{A} X = b\). (English) Zbl 1470.65045 Abstr. Appl. Anal. 2014, Article ID 340803, 9 p. (2014). MSC: 65F05 15A06 PDFBibTeX XMLCite \textit{Z. Jiang}, Abstr. Appl. Anal. 2014, Article ID 340803, 9 p. (2014; Zbl 1470.65045) Full Text: DOI
Jiang, Zhaolin; Gong, Yanpeng; Gao, Yun Invertibility and explicit inverses of circulant-type matrices with \(k\)-Fibonacci and \(k\)-Lucas numbers. (English) Zbl 1473.15033 Abstr. Appl. Anal. 2014, Article ID 238953, 9 p. (2014). MSC: 15B05 15A09 11B39 PDFBibTeX XMLCite \textit{Z. Jiang} et al., Abstr. Appl. Anal. 2014, Article ID 238953, 9 p. (2014; Zbl 1473.15033) Full Text: DOI
Zhou, Jianwei; Chen, Xiangyong; Jiang, Zhaolin The explicit identities for spectral norms of circulant-type matrices involving binomial coefficients and harmonic numbers. (English) Zbl 1407.15027 Math. Probl. Eng. 2014, Article ID 518913, 7 p. (2014). MSC: 15A60 15B05 PDFBibTeX XMLCite \textit{J. Zhou} et al., Math. Probl. Eng. 2014, Article ID 518913, 7 p. (2014; Zbl 1407.15027) Full Text: DOI
Jiang, Zhaolin; Shen, Nuo; Li, Juan Determinants of the RFMLR circulant matrices with Perrin, Padovan, Tribonacci, and the generalized Lucas numbers. (English) Zbl 1406.15010 J. Appl. Math. 2014, Article ID 585438, 11 p. (2014). MSC: 15A15 11B39 PDFBibTeX XMLCite \textit{Z. Jiang} et al., J. Appl. Math. 2014, Article ID 585438, 11 p. (2014; Zbl 1406.15010) Full Text: DOI
Zhou, Jianwei; Jiang, Zhaolin Spectral norms of circulant-type matrices with binomial coefficients and harmonic numbers. (English) Zbl 1359.15016 Int. J. Comput. Methods 11, No. 5, Article ID 1350076, 14 p. (2014). MSC: 15A60 15B05 PDFBibTeX XMLCite \textit{J. Zhou} and \textit{Z. Jiang}, Int. J. Comput. Methods 11, No. 5, Article ID 1350076, 14 p. (2014; Zbl 1359.15016) Full Text: DOI
Zhou, Jianwei; Jiang, Zhaolin The spectral norms of \(g\)-circulant matrices with classical Fibonacci and Lucas numbers entries. (English) Zbl 1334.15060 Appl. Math. Comput. 233, 582-587 (2014). MSC: 15A60 11B39 PDFBibTeX XMLCite \textit{J. Zhou} and \textit{Z. Jiang}, Appl. Math. Comput. 233, 582--587 (2014; Zbl 1334.15060) Full Text: DOI
Jiang, Xiao-Yu; Gao, Yun; Jiang, Zhao-Lin Determinants and inverses of skew and skew left circulant matrices involving the \(k\)-Lucas numbers in communications. II. (English) Zbl 1390.15021 Far East J. Math. Sci. (FJMS) 78, No. 1, 1-17 (2013). MSC: 15A15 15A09 11B39 11C20 15B36 PDFBibTeX XMLCite \textit{X.-Y. Jiang} et al., Far East J. Math. Sci. (FJMS) 78, No. 1, 1--17 (2013; Zbl 1390.15021) Full Text: Link
Jiang, Xiao-Yu; Jiang, Zhao-Lin Efficient algorithm for finding inverse and group inverse of the RSFPrLR circulant matrix in codes. (English) Zbl 1279.65042 JP J. Algebra Number Theory Appl. 29, No. 1, 51-70 (2013). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65F20 15A09 15B35 PDFBibTeX XMLCite \textit{X.-Y. Jiang} and \textit{Z.-L. Jiang}, JP J. Algebra Number Theory Appl. 29, No. 1, 51--70 (2013; Zbl 1279.65042) Full Text: Link
Jiang, Xiao-Yu; Gao, Yun; Jiang, Zhao-Lin Determinants and inverses of skew and skew left circulant matrices involving the \(k\)-Fibonacci numbers in communications. I. (English) Zbl 1276.15005 Far East J. Math. Sci. (FJMS) 76, No. 1, 123-137 (2013). Reviewer: Dmitri Artamonov (Moscow) MSC: 15A15 15A09 11B39 11C20 15B36 PDFBibTeX XMLCite \textit{X.-Y. Jiang} et al., Far East J. Math. Sci. (FJMS) 76, No. 1, 123--137 (2013; Zbl 1276.15005) Full Text: Link
Li, Juan; Jiang, Zhaolin; Shen, Nuo Explicit determinants of the Fibonacci RFPLR circulant and Lucas RFPLR circulant matrix. (English) Zbl 1272.15005 JP J. Algebra Number Theory Appl. 28, No. 2, 167-179 (2013). Reviewer: John D. Dixon (Ottawa) MSC: 15A15 11B39 15A18 15B34 PDFBibTeX XMLCite \textit{J. Li} et al., JP J. Algebra Number Theory Appl. 28, No. 2, 167--179 (2013; Zbl 1272.15005) Full Text: Link
Jiang, Zhaolin; Xu, Zongben A new algorithm for computing the inverse and generalized inverse of the scaled factor circulant matrix. (English) Zbl 1174.65016 J. Comput. Math. 26, No. 1, 112-122 (2008). MSC: 65F20 15A09 PDFBibTeX XMLCite \textit{Z. Jiang} and \textit{Z. Xu}, J. Comput. Math. 26, No. 1, 112--122 (2008; Zbl 1174.65016)
Jiang, Zhaolin; Xu, Zongben; Gao, Shuping Algorithms for finding the minimal polynomials and inverses of permutation factor circulant matrices. (English) Zbl 1126.65033 Chin. J. Eng. Math. 23, No. 6, 1088-1094 (2006). MSC: 65F30 15A21 65F15 65F05 13P10 PDFBibTeX XMLCite \textit{Z. Jiang} et al., Chin. J. Eng. Math. 23, No. 6, 1088--1094 (2006; Zbl 1126.65033)
Jiang, Zhaolin; Xu, Zongben Efficient algorithm for finding the inverse and the group inverse of FLS \(r\)-circulant matrix. (English) Zbl 1087.65024 J. Appl. Math. Comput. 18, No. 1-2, 45-57 (2005). Reviewer: Georg Hebermehl (Berlin) MSC: 65F05 15A21 65F20 15B57 PDFBibTeX XMLCite \textit{Z. Jiang} and \textit{Z. Xu}, J. Appl. Math. Comput. 18, No. 1--2, 45--57 (2005; Zbl 1087.65024) Full Text: DOI
Jiang, Zhaolin; Liu, Sanyang An algorithm for finding the minimal polynomial of a scaled circulant factor matrix. (English) Zbl 1053.65031 Math. Appl. 17, No. 1, 61-66 (2004). Reviewer: Prem Narain (Faridabad) MSC: 65F30 65F05 13P10 15A21 65F15 PDFBibTeX XMLCite \textit{Z. Jiang} and \textit{S. Liu}, Math. Appl. 17, No. 1, 61--66 (2004; Zbl 1053.65031)
Jiang, Zhao-Lin; Liu, San-Yang Level-\(m\) scaled circulant factor matrices over the complex number field and the quaternion division algebra. (English) Zbl 1102.15300 J. Appl. Math. Comput. 14, No. 1-2, 81-96 (2003). MSC: 15B33 15A21 65F15 PDFBibTeX XMLCite \textit{Z.-L. Jiang} and \textit{S.-Y. Liu}, J. Appl. Math. Comput. 14, No. 1--2, 81--96 (2003; Zbl 1102.15300) Full Text: DOI
Jiang, Zhaolin; Liu, Sanyang Efficient algorithms for computing the minimal polynomials and the inverses of level-\(k\) \({\Pi}\)-circulant matrices. (English) Zbl 1040.65036 Bull. Korean Math. Soc. 40, No. 3, 425-435 (2003). Reviewer: Michael Jung (Dresden) MSC: 65F30 15A21 65F15 13P10 65F05 PDFBibTeX XMLCite \textit{Z. Jiang} and \textit{S. Liu}, Bull. Korean Math. Soc. 40, No. 3, 425--435 (2003; Zbl 1040.65036) Full Text: DOI
Jiang, Zhaolin Nonsingularity on scaled factor circulant matrices. (Chinese. English summary) Zbl 1022.15011 J. Baoji Coll. Arts Sci., Nat. Sci. 23, No. 1, 5-7 (2003). MSC: 15A21 15A12 15B57 PDFBibTeX XMLCite \textit{Z. Jiang}, J. Baoji Coll. Arts Sci., Nat. Sci. 23, No. 1, 5--7 (2003; Zbl 1022.15011)
Zhang, Shenggui; Jiang, Zhaolin; Liu, Sanyang An application of the Gröbner basis in computation for the minimal polynomials and inverses of block circulant matrices. (English) Zbl 1005.65040 Linear Algebra Appl. 347, No. 1-3, 101-114 (2002). Reviewer: Alyson Reeves (Bowie) MSC: 65F30 65F05 68W30 15A21 13P10 15B33 PDFBibTeX XMLCite \textit{S. Zhang} et al., Linear Algebra Appl. 347, No. 1--3, 101--114 (2002; Zbl 1005.65040) Full Text: DOI
Jiang, Zhaolin; Liu, Sanyang; Zhao, Hongxing A discrimination of nonsingularity of level-\( k(r_1,r_2,\dots,r_k)\) circulant matrices of type \((n_1,n_2,\dots,n_k)\). (English) Zbl 1002.15025 Math. Appl. 14, No. 4, 13-16 (2001). Reviewer: Yueh-er Kuo (Knoxville) MSC: 15B57 PDFBibTeX XMLCite \textit{Z. Jiang} et al., Math. Appl. 14, No. 4, 13--16 (2001; Zbl 1002.15025)
Jiang, Zhaolin; Ye, Liuqing; Deng, Fang’an The explicit expressions of level-\(k (r_1,r_2,\dots,r_k)\) circulant matrices and some of their properties. (English) Zbl 0928.15017 Chin. Q. J. Math. 13, No. 2, 91-96 (1998). Reviewer: K.H.Kim (Montgomery) MSC: 15B57 15A09 15A18 15A15 PDFBibTeX XMLCite \textit{Z. Jiang} et al., Chin. Q. J. Math. 13, No. 2, 91--96 (1998; Zbl 0928.15017)
Jiang, Zhaolin The interpolation methods for evaluating inverse matrices of level-\(k\) \((r_1,r_2,\cdots,r_k)\)-circulant matrices of type \((n_1,n_2,\cdots,n_k)\). (Chinese. English summary) Zbl 0919.65022 Numer. Math., Nanjing 20, No. 2, 106-111 (1998). MSC: 65F05 15A09 15B57 PDFBibTeX XMLCite \textit{Z. Jiang}, Numer. Math., Nanjing 20, No. 2, 106--111 (1998; Zbl 0919.65022)
Jiang, Zhao Lin; Li, Rui Ming Nonsingularity of level \(k\) circulant matrices of type \((n_1,n_2,\cdots, n_k)\) and order \(n_1n_2\cdots n_k\). (Chinese. English summary) Zbl 1504.15091 Hunan Ann. Math. 17, No. 1, 104-108 (1997). MSC: 15B05 PDFBibTeX XMLCite \textit{Z. L. Jiang} and \textit{R. M. Li}, Hunan Ann. Math. 17, No. 1, 104--108 (1997; Zbl 1504.15091)
Jiang, Zhaolin; Guo, Yunrui; Li, Hongjie Nonsingularity of level-\(k (r_1, r_2,\dots, r_k)\)-circulant matrices of type \((n_1,n_2,\dots,n_k)\). (English) Zbl 0927.15010 Chin. Q. J. Math. 12, No. 4, 79-86 (1997). MSC: 15B57 15A09 PDFBibTeX XMLCite \textit{Z. Jiang} et al., Chin. Q. J. Math. 12, No. 4, 79--86 (1997; Zbl 0927.15010)
Jiang, Zhaolin; Tao, Jie; Sun, Qingying Level-2 circulant matrices of type \((n_ 1,n_ 2)\) and level-2 symmetric circulant matrices of type \((n_ 1,n_ 2)\) and nonsingularity. (Chinese. English summary) Zbl 0886.15031 J. Qufu Norm. Univ., Nat. Sci. 23, No. 3, 42-48 (1997). Reviewer: Yang Yingchen (Beijing) MSC: 15B57 PDFBibTeX XMLCite \textit{Z. Jiang} et al., J. Qufu Norm. Univ., Nat. Sci. 23, No. 3, 42--48 (1997; Zbl 0886.15031)
Jiang, Zhao Lin Special methods for finding the inverses of level \(2\) circulant matrices of type \((n_1,n_2)\). (Chinese. English summary) Zbl 1504.15013 Hunan Ann. Math. 16, No. 2, 125-128 (1996). MSC: 15A09 15B05 PDFBibTeX XMLCite \textit{Z. L. Jiang}, Hunan Ann. Math. 16, No. 2, 125--128 (1996; Zbl 1504.15013)
Jiang, Zhao Lin Interpolation methods for finding the inverses of level \(2\) circulant matrices of type \((n_1,n_2)\). (Chinese. English summary) Zbl 1504.15012 Hunan Ann. Math. 16, No. 3, 29-32 (1996). MSC: 15A09 15B05 PDFBibTeX XMLCite \textit{Z. L. Jiang}, Hunan Ann. Math. 16, No. 3, 29--32 (1996; Zbl 1504.15012)
Jiang, Zhaolin; Zhou, Zhangxin Nonsingularity on \(r\)-circulant matrices. (Chinese. English summary) Zbl 0851.15001 Appl. Math., Ser. A (Chin. Ed.) 10, No. 2, 222-226 (1995). Reviewer: Z.Mei (Toowoomba) MSC: 15A09 15B57 PDFBibTeX XMLCite \textit{Z. Jiang} and \textit{Z. Zhou}, Appl. Math., Ser. A (Chin. Ed.) 10, No. 2, 222--226 (1995; Zbl 0851.15001)
Jiang, Zhao Lin Nonsingularity of two classes of cyclic matrices. (Chinese. English summary) Zbl 1493.15121 Math. Pract. Theory 1995, No. 2, 52-58 (1995). MSC: 15B57 PDFBibTeX XMLCite \textit{Z. L. Jiang}, Math. Pract. Theory 1995, No. 2, 52--58 (1995; Zbl 1493.15121)
Zhou, Zhangxin; Jiang, Zhaolin Generalization on \(g\)-\(m,n\) matrices and strong \(g\)-circulant matrices. (Chinese. English summary) Zbl 0830.15022 J. Qufu Norm. Univ., Nat. Sci. 20, Suppl., 95-97 (1994). Reviewer: Li Shaokuan (Shanghai) MSC: 15B57 PDFBibTeX XMLCite \textit{Z. Zhou} and \textit{Z. Jiang}, J. Qufu Norm. Univ., Nat. Sci. 20, 95--97 (1994; Zbl 0830.15022)
Zhou, Zhangxin; Jiang, Zhaolin Extension of \(m\)-\(n\) circulant matrices. (Chinese. English summary) Zbl 0830.15021 J. Qufu Norm. Univ., Nat. Sci. 20, Suppl., 67-70 (1994). Reviewer: Li Shaokuan (Shanghai) MSC: 15B57 PDFBibTeX XMLCite \textit{Z. Zhou} and \textit{Z. Jiang}, J. Qufu Norm. Univ., Nat. Sci. 20, 67--70 (1994; Zbl 0830.15021)
Jiang, Zhaolin; Wang, Yanyuan Generalization on \(r\)-circulant matrices. (Chinese. English summary) Zbl 0802.65026 J. Qufu Norm. Univ., Nat. Sci. 20, No. 1, 49-54 (1994). MSC: 65F05 15B57 PDFBibTeX XMLCite \textit{Z. Jiang} and \textit{Y. Wang}, J. Qufu Norm. Univ., Nat. Sci. 20, No. 1, 49--54 (1994; Zbl 0802.65026)