Perović, Vasilije; Mackey, D. Steven Quadratic realizability of palindromic matrix polynomials: the real case. (English) Zbl 1519.15017 Linear Multilinear Algebra 71, No. 5, 797-841 (2023). Reviewer: Ninoslav Truhar (Osijek) MSC: 15A29 15A21 15A22 PDFBibTeX XMLCite \textit{V. Perović} and \textit{D. S. Mackey}, Linear Multilinear Algebra 71, No. 5, 797--841 (2023; Zbl 1519.15017) Full Text: DOI
Edelman, Alan; Jeong, Sungwoo On the structure of the solutions to the matrix equation \(G^\ast JG = J\). (English) Zbl 1505.15012 Linear Algebra Appl. 657, 241-273 (2023). Reviewer: Igor Korepanov (Moskva) MSC: 15A24 65F45 15A22 PDFBibTeX XMLCite \textit{A. Edelman} and \textit{S. Jeong}, Linear Algebra Appl. 657, 241--273 (2023; Zbl 1505.15012) Full Text: DOI arXiv
Dopico, Froilán M.; Quintana, María C.; Van Dooren, Paul Strongly minimal self-conjugate linearizations for polynomial and rational matrices. (English) Zbl 1506.15013 SIAM J. Matrix Anal. Appl. 43, No. 3, 1354-1381 (2022). MSC: 15A21 15A18 15A22 15A54 15B57 PDFBibTeX XMLCite \textit{F. M. Dopico} et al., SIAM J. Matrix Anal. Appl. 43, No. 3, 1354--1381 (2022; Zbl 1506.15013) Full Text: DOI arXiv
Malyshev, Alexander; Sadkane, Miloud Computing the distance to continuous-time instability of quadratic matrix polynomials. (English) Zbl 1440.65049 Numer. Math. 145, No. 1, 149-165 (2020). MSC: 65F15 15A22 65F35 65G50 PDFBibTeX XMLCite \textit{A. Malyshev} and \textit{M. Sadkane}, Numer. Math. 145, No. 1, 149--165 (2020; Zbl 1440.65049) Full Text: DOI Link
Zhao, Kang; Cheng, Lizhi; Liao, Anping; Li, Shengguo On inverse eigenvalue problems of quadratic palindromic systems with partially prescribed eigenstructure. (English) Zbl 1427.65051 Taiwanese J. Math. 23, No. 6, 1511-1534 (2019). MSC: 65F18 65F15 15A24 15A29 PDFBibTeX XMLCite \textit{K. Zhao} et al., Taiwanese J. Math. 23, No. 6, 1511--1534 (2019; Zbl 1427.65051) Full Text: DOI Euclid
De Terán, Fernando; Dopico, Froilán M.; Mackey, D. Steven; Perović, Vasilije Quadratic realizability of palindromic matrix polynomials. (English) Zbl 07060483 Linear Algebra Appl. 567, 202-262 (2019). MSC: 65F15 15A18 15A21 15A22 15A54 PDFBibTeX XMLCite \textit{F. De Terán} et al., Linear Algebra Appl. 567, 202--262 (2019; Zbl 07060483) Full Text: DOI Link
Dopico, Froilán M.; Pérez, Javier; Van Dooren, Paul Structured backward error analysis of linearized structured polynomial eigenvalue problems. (English) Zbl 1408.65015 Math. Comput. 88, No. 317, 1189-1228 (2019). Reviewer: John D. Dixon (Ottawa) MSC: 65F15 15A18 15A21 15A22 15A54 PDFBibTeX XMLCite \textit{F. M. Dopico} et al., Math. Comput. 88, No. 317, 1189--1228 (2019; Zbl 1408.65015) Full Text: DOI arXiv
Zhao, Kang; Cheng, Lizhi; Liao, Anping Updating \(\star \)-palindromic quadratic systems with no spill-over. (English) Zbl 1413.65112 Comput. Appl. Math. 37, No. 5, 5587-5608 (2018). MSC: 65F18 15A24 PDFBibTeX XMLCite \textit{K. Zhao} et al., Comput. Appl. Math. 37, No. 5, 5587--5608 (2018; Zbl 1413.65112) Full Text: DOI
Batzke, Leonhard Generic rank-two perturbations of structured regular matrix pencils. (English) Zbl 1341.15011 Oper. Matrices 10, No. 1, 83-112 (2016). Reviewer: John D. Dixon (Ottawa) MSC: 15A22 15A21 15A03 PDFBibTeX XMLCite \textit{L. Batzke}, Oper. Matrices 10, No. 1, 83--112 (2016; Zbl 1341.15011) Full Text: DOI Link
Mehrmann, Volker; Xu, Hongguo Structure preserving deflation of infinite eigenvalues in structured pencils. (English) Zbl 1312.65055 ETNA, Electron. Trans. Numer. Anal. 44, 1-24 (2015). MSC: 65F15 15A21 15A22 93B36 93B60 65K10 PDFBibTeX XMLCite \textit{V. Mehrmann} and \textit{H. Xu}, ETNA, Electron. Trans. Numer. Anal. 44, 1--24 (2015; Zbl 1312.65055) Full Text: EMIS
Batzke, Leonhard Generic rank-one perturbations of structured regular matrix pencils. (English) Zbl 1294.15011 Linear Algebra Appl. 458, 638-670 (2014). MSC: 15A22 15A21 15A18 15A86 PDFBibTeX XMLCite \textit{L. Batzke}, Linear Algebra Appl. 458, 638--670 (2014; Zbl 1294.15011) Full Text: DOI
Bini, Dario A.; Noferini, Vanni Solving polynomial eigenvalue problems by means of the Ehrlich-Aberth method. (English) Zbl 1281.65061 Linear Algebra Appl. 439, No. 4, 1130-1149 (2013). MSC: 65F15 15A16 15A54 PDFBibTeX XMLCite \textit{D. A. Bini} and \textit{V. Noferini}, Linear Algebra Appl. 439, No. 4, 1130--1149 (2013; Zbl 1281.65061) Full Text: DOI arXiv
Benner, Peter; Voigt, Matthias Spectral characterization and enforcement of negative imaginariness for descriptor systems. (English) Zbl 1278.93072 Linear Algebra Appl. 439, No. 4, 1104-1129 (2013). MSC: 93B25 65L80 15A22 15A23 PDFBibTeX XMLCite \textit{P. Benner} and \textit{M. Voigt}, Linear Algebra Appl. 439, No. 4, 1104--1129 (2013; Zbl 1278.93072) Full Text: DOI
Mackey, D. Steven; Mackey, Niloufer; Mehl, Christian; Mehrmann, Volker Skew-symmetric matrix polynomials and their Smith forms. (English) Zbl 1281.15020 Linear Algebra Appl. 438, No. 12, 4625-4653 (2013). MSC: 15A54 15A16 15A21 15A23 15A24 PDFBibTeX XMLCite \textit{D. S. Mackey} et al., Linear Algebra Appl. 438, No. 12, 4625--4653 (2013; Zbl 1281.15020) Full Text: DOI
Al-Ammari, Maha; Tisseur, Françoise Standard triples of structured matrix polynomials. (English) Zbl 1250.15026 Linear Algebra Appl. 437, No. 3, 817-834 (2012). Reviewer: Grozio Stanilov (Sofia) MSC: 15A54 15A18 15A16 PDFBibTeX XMLCite \textit{M. Al-Ammari} and \textit{F. Tisseur}, Linear Algebra Appl. 437, No. 3, 817--834 (2012; Zbl 1250.15026) Full Text: DOI Link
De Terán, Fernando; Dopico, Froilán M.; Mackey, D. Steven Palindromic companion forms for matrix polynomials of odd degree. (English) Zbl 1239.15010 J. Comput. Appl. Math. 236, No. 6, 1464-1480 (2011). Reviewer: Rodica Covaci (Cluj-Napoca) MSC: 15A18 15A54 15A22 PDFBibTeX XMLCite \textit{F. De Terán} et al., J. Comput. Appl. Math. 236, No. 6, 1464--1480 (2011; Zbl 1239.15010) Full Text: DOI
Adhikari, Bibhas; Alam, Rafikul On backward errors of structured polynomial eigenproblems solved by structure preserving linearizations. (English) Zbl 1215.65065 Linear Algebra Appl. 434, No. 9, 1989-2017 (2011). Reviewer: Adhemar Bultheel (Leuven) MSC: 65F15 15A18 65F35 PDFBibTeX XMLCite \textit{B. Adhikari} and \textit{R. Alam}, Linear Algebra Appl. 434, No. 9, 1989--2017 (2011; Zbl 1215.65065) Full Text: DOI arXiv
Mackey, D. Steven; Mackey, Niloufer; Mehl, Christian; Mehrmann, Volker Smith forms of palindromic matrix polynomials. (English) Zbl 1207.15013 Electron. J. Linear Algebra 22, 53-91 (2011). MSC: 15A21 12E10 15A22 15A54 PDFBibTeX XMLCite \textit{D. S. Mackey} et al., Electron. J. Linear Algebra 22, 53--91 (2011; Zbl 1207.15013) Full Text: DOI EuDML EMIS
Reis, Timo Lur’e equations and even matrix pencils. (English) Zbl 1208.15016 Linear Algebra Appl. 434, No. 1, 152-173 (2011). Reviewer: Mihail Voicu (Iaşi) MSC: 15A24 15A22 PDFBibTeX XMLCite \textit{T. Reis}, Linear Algebra Appl. 434, No. 1, 152--173 (2011; Zbl 1208.15016) Full Text: DOI
Mackey, D. Steven; Mackey, Niloufer; Mehl, Christian; Mehrmann, Volker Jordan structures of alternating matrix polynomials. (English) Zbl 1188.15010 Linear Algebra Appl. 432, No. 4, 867-891 (2010). Reviewer: R. Militaru (Craiova) MSC: 15A21 15A18 15A54 PDFBibTeX XMLCite \textit{D. S. Mackey} et al., Linear Algebra Appl. 432, No. 4, 867--891 (2010; Zbl 1188.15010) Full Text: DOI
Kressner, Daniel; Schröder, Christian; Watkins, David S. Implicit QR algorithms for palindromic and even eigenvalue problems. (English) Zbl 1181.65054 Numer. Algorithms 51, No. 2, 209-238 (2009). Reviewer: J. B. Butler jun. (Portland) MSC: 65F15 15A21 PDFBibTeX XMLCite \textit{D. Kressner} et al., Numer. Algorithms 51, No. 2, 209--238 (2009; Zbl 1181.65054) Full Text: DOI Link
Fassbender, Heike; Mackey, D. Steven; Mackey, Niloufer; Schröder, Christian Structured polynomial eigenproblems related to time-delay systems. (English) Zbl 1188.15007 ETNA, Electron. Trans. Numer. Anal. 31, 306-330 (2008). MSC: 15A18 15A22 34K06 34K20 65F15 PDFBibTeX XMLCite \textit{H. Fassbender} et al., ETNA, Electron. Trans. Numer. Anal. 31, 306--330 (2008; Zbl 1188.15007) Full Text: EuDML EMIS