Liljegren-Sailer, Björn; Gosea, Ion Victor Data-driven and low-rank implementations of balanced singular perturbation approximation. (English) Zbl 07805928 SIAM J. Sci. Comput. 46, No. 1, A483-A507 (2024). MSC: 93B11 93C70 93C05 93D20 93A15 PDFBibTeX XMLCite \textit{B. Liljegren-Sailer} and \textit{I. V. Gosea}, SIAM J. Sci. Comput. 46, No. 1, A483--A507 (2024; Zbl 07805928) Full Text: DOI arXiv
Li, Shihai; Ma, Changfeng A novel predefined-time noise-tolerant zeroing neural network for solving time-varying generalized linear matrix equations. (English) Zbl 07757345 J. Franklin Inst. 360, No. 16, 11788-11808 (2023). MSC: 65F05 65F10 PDFBibTeX XMLCite \textit{S. Li} and \textit{C. Ma}, J. Franklin Inst. 360, No. 16, 11788--11808 (2023; Zbl 07757345) Full Text: DOI
Li, Shihai; Ma, Changfeng An improved gradient neural network for solving periodic Sylvester matrix equations. (English) Zbl 1524.65184 J. Franklin Inst. 360, No. 6, 4056-4070 (2023). MSC: 65F45 15A24 68T07 PDFBibTeX XMLCite \textit{S. Li} and \textit{C. Ma}, J. Franklin Inst. 360, No. 6, 4056--4070 (2023; Zbl 1524.65184) Full Text: DOI
Zhang, Xin-Fang; Wang, Qing-Wen On RGI algorithms for solving Sylvester tensor equations. (English) Zbl 1492.65103 Taiwanese J. Math. 26, No. 3, 501-519 (2022). MSC: 65F45 15A24 15A69 PDFBibTeX XMLCite \textit{X.-F. Zhang} and \textit{Q.-W. Wang}, Taiwanese J. Math. 26, No. 3, 501--519 (2022; Zbl 1492.65103) Full Text: DOI
Hou, Liangshao; Zhou, Jieyong; He, Qixiang An extension method for fully fuzzy Sylvester matrix equation. (English) Zbl 1498.15019 Soft Comput. 25, No. 7, 5763-5774 (2021). MSC: 15A24 15B15 PDFBibTeX XMLCite \textit{L. Hou} et al., Soft Comput. 25, No. 7, 5763--5774 (2021; Zbl 1498.15019) Full Text: DOI
Drmač, Zlatko Numerical methods for accurate computation of the eigenvalues of Hermitian matrices and the singular values of general matrices. (English) Zbl 1476.65052 S\(\vec{\text{e}}\)MA J. 78, No. 1, 53-92 (2021). MSC: 65F15 PDFBibTeX XMLCite \textit{Z. Drmač}, S\(\vec{\text{e}}\)MA J. 78, No. 1, 53--92 (2021; Zbl 1476.65052) Full Text: DOI arXiv
Hao, Yue; Simoncini, Valeria Matrix equation solving of PDEs in polygonal domains using conformal mappings. (English) Zbl 1495.65199 J. Numer. Math. 29, No. 3, 221-244 (2021). Reviewer: Abdallah Bradji (Annaba) MSC: 65N22 65E10 65F10 65F40 35J25 30C30 15A24 PDFBibTeX XMLCite \textit{Y. Hao} and \textit{V. Simoncini}, J. Numer. Math. 29, No. 3, 221--244 (2021; Zbl 1495.65199) Full Text: DOI
Djordjević, Bogdan D. Singular Lyapunov operator equations: applications to \(C^*\)-algebras, Fréchet derivatives and abstract Cauchy problems. (English) Zbl 07420457 Anal. Math. Phys. 11, No. 4, Paper No. 160, 23 p. (2021). MSC: 47A62 47L30 46G05 PDFBibTeX XMLCite \textit{B. D. Djordjević}, Anal. Math. Phys. 11, No. 4, Paper No. 160, 23 p. (2021; Zbl 07420457) Full Text: DOI
Magruder, C. C.; Gugercin, S.; Beattie, C. A. Linear time-periodic dynamical systems: an \(H_2\) analysis and a model reduction framework. (English) Zbl 1485.93098 Math. Comput. Model. Dyn. Syst. 24, No. 2, 119-142 (2018). MSC: 93B11 93C05 PDFBibTeX XMLCite \textit{C. C. Magruder} et al., Math. Comput. Model. Dyn. Syst. 24, No. 2, 119--142 (2018; Zbl 1485.93098) Full Text: DOI arXiv
He, Qixiang; Hou, Liangshao; Zhou, Jieyong The solution of fuzzy Sylvester matrix equation. (English) Zbl 1402.15021 Soft Comput. 22, No. 19, 6515-6523 (2018). MSC: 15B15 15A24 65F30 PDFBibTeX XMLCite \textit{Q. He} et al., Soft Comput. 22, No. 19, 6515--6523 (2018; Zbl 1402.15021) Full Text: DOI
Luo, Quanbing; Liang, Dong; Ren, Ting; Zhang, Jian Calculation of critical parameters for spontaneous combustion for some complex geometries using an indirect numerical method. (English) Zbl 1384.65089 ANZIAM J. 59, No. 3, 402-412 (2018). MSC: 65P30 80A25 37M20 PDFBibTeX XMLCite \textit{Q. Luo} et al., ANZIAM J. 59, No. 3, 402--412 (2018; Zbl 1384.65089) Full Text: DOI
Hached, M. A note on the Davison-Man method for Sylvester matrix equations. (English) Zbl 1360.65101 Comput. Appl. Math. 36, No. 1, 561-570 (2017). MSC: 65F10 15A06 65F05 15A24 65F50 PDFBibTeX XMLCite \textit{M. Hached}, Comput. Appl. Math. 36, No. 1, 561--570 (2017; Zbl 1360.65101) Full Text: DOI
Beattie, Christopher; Gugercin, Serkan; Mehrmann, Volker Model reduction for systems with inhomogeneous initial conditions. (English) Zbl 1353.93019 Syst. Control Lett. 99, 99-106 (2017). MSC: 93B11 93C05 93B40 PDFBibTeX XMLCite \textit{C. Beattie} et al., Syst. Control Lett. 99, 99--106 (2017; Zbl 1353.93019) Full Text: DOI arXiv
Wolf, Thomas; Panzer, Heiko K. F.; Lohmann, Boris ADI iteration for Lyapunov equations: A tangential approach and adaptive shift selection. (English) Zbl 1348.65079 Appl. Numer. Math. 109, 85-95 (2016). MSC: 65F30 65F10 15A24 PDFBibTeX XMLCite \textit{T. Wolf} et al., Appl. Numer. Math. 109, 85--95 (2016; Zbl 1348.65079) Full Text: DOI arXiv
Simoncini, V. Computational methods for linear matrix equations. (English) Zbl 1386.65124 SIAM Rev. 58, No. 3, 377-441 (2016). MSC: 65F30 65F10 15A24 15A06 PDFBibTeX XMLCite \textit{V. Simoncini}, SIAM Rev. 58, No. 3, 377--441 (2016; Zbl 1386.65124) Full Text: DOI Link
Benner, Peter; Kürschner, Patrick; Saak, Jens Low-rank Newton-ADI methods for large nonsymmetric algebraic Riccati equations. (English) Zbl 1336.93056 J. Franklin Inst. 353, No. 5, 1147-1167 (2016). MSC: 93B40 93C15 93A15 65F10 PDFBibTeX XMLCite \textit{P. Benner} et al., J. Franklin Inst. 353, No. 5, 1147--1167 (2016; Zbl 1336.93056) Full Text: DOI
Wolf, T.; Panzer, H. K. F. The ADI iteration for Lyapunov equations implicitly performs \(\mathcal{H}_2\) pseudo-optimal model order reduction. (English) Zbl 1332.93142 Int. J. Control 89, No. 3, 481-493 (2016). MSC: 93C05 93C15 93B11 PDFBibTeX XMLCite \textit{T. Wolf} and \textit{H. K. F. Panzer}, Int. J. Control 89, No. 3, 481--493 (2016; Zbl 1332.93142) Full Text: DOI arXiv
Benner, Peter; Kürschner, Patrick Computing real low-rank solutions of Sylvester equations by the factored ADI method. (English) Zbl 1364.65093 Comput. Math. Appl. 67, No. 9, 1656-1672 (2014). MSC: 65F30 15A24 65F10 PDFBibTeX XMLCite \textit{P. Benner} and \textit{P. Kürschner}, Comput. Math. Appl. 67, No. 9, 1656--1672 (2014; Zbl 1364.65093) Full Text: DOI
Chen, Zhen; Lu, Linzhang A gradient based iterative solutions for Sylvester tensor equations. (English) Zbl 1299.65045 Math. Probl. Eng. 2013, Article ID 819479, 7 p. (2013). MSC: 65F10 15A24 PDFBibTeX XMLCite \textit{Z. Chen} and \textit{L. Lu}, Math. Probl. Eng. 2013, Article ID 819479, 7 p. (2013; Zbl 1299.65045) Full Text: DOI
Kuzmanović, Ivana; Truhar, Ninoslav Sherman-Morrison-Woodbury formula for Sylvester and \(T\)-Sylvester equations with applications. (English) Zbl 1278.65053 Int. J. Comput. Math. 90, No. 2, 306-324 (2013). MSC: 65F99 65Z05 PDFBibTeX XMLCite \textit{I. Kuzmanović} and \textit{N. Truhar}, Int. J. Comput. Math. 90, No. 2, 306--324 (2013; Zbl 1278.65053) Full Text: DOI
Benner, Peter; Kürschner, Patrick; Saak, Jens Efficient handling of complex shift parameters in the low-rank Cholesky factor ADI method. (English) Zbl 1267.65047 Numer. Algorithms 62, No. 2, 225-251 (2013). Reviewer: R. P. Tewarson (Stony Brook) MSC: 65F30 65F10 15A24 65F50 PDFBibTeX XMLCite \textit{P. Benner} et al., Numer. Algorithms 62, No. 2, 225--251 (2013; Zbl 1267.65047) Full Text: DOI
Zhou, Jituan; Wang, Ruirui; Niu, Qiang A preconditioned iteration method for solving Sylvester equations. (English) Zbl 1251.65044 J. Appl. Math. 2012, Article ID 401059, 12 p. (2012). MSC: 65F08 15A24 PDFBibTeX XMLCite \textit{J. Zhou} et al., J. Appl. Math. 2012, Article ID 401059, 12 p. (2012; Zbl 1251.65044) Full Text: DOI
Mikkelsen, Carl Christian Kjelgaard Retracing the residual curve of a Lyapunov equation solver. (English) Zbl 1246.65073 BIT 51, No. 4, 959-975 (2011). Reviewer: Vasilis Dimitriou (Chania) MSC: 65F30 PDFBibTeX XMLCite \textit{C. C. K. Mikkelsen}, BIT 51, No. 4, 959--975 (2011; Zbl 1246.65073) Full Text: DOI Link
Wu, Ai-Guo; Feng, Gang; Duan, Guang-Ren; Wu, Wei-Jun Closed-form solutions to Sylvester-conjugate matrix equations. (English) Zbl 1198.15013 Comput. Math. Appl. 60, No. 1, 95-111 (2010). MSC: 15A24 PDFBibTeX XMLCite \textit{A.-G. Wu} et al., Comput. Math. Appl. 60, No. 1, 95--111 (2010; Zbl 1198.15013) Full Text: DOI