Szymański, Oskar Jakub; Wojtylak, Michał Stability of matrix polynomials in one and several variables. (English) Zbl 1515.15012 Linear Algebra Appl. 670, 42-67 (2023). Reviewer: Roksana Słowik (Gliwice) MSC: 15A18 15A22 15B57 30C15 32A60 PDFBibTeX XMLCite \textit{O. J. Szymański} and \textit{M. Wojtylak}, Linear Algebra Appl. 670, 42--67 (2023; Zbl 1515.15012) Full Text: DOI arXiv
Melman, Aaron Polynomials whose zeros are powers of a given Polynomial’s zeros. (English) Zbl 1486.30018 Am. Math. Mon. 129, No. 3, 276-280 (2022). MSC: 30C10 30C15 PDFBibTeX XMLCite \textit{A. Melman}, Am. Math. Mon. 129, No. 3, 276--280 (2022; Zbl 1486.30018) Full Text: DOI
Chen, Haotian On locating the zeros and poles of a meromorphic function. (English) Zbl 1490.65090 J. Comput. Appl. Math. 402, Article ID 113796, 11 p. (2022). MSC: 65H05 65E05 30C15 PDFBibTeX XMLCite \textit{H. Chen}, J. Comput. Appl. Math. 402, Article ID 113796, 11 p. (2022; Zbl 1490.65090) Full Text: DOI arXiv
Tisseur, Françoise; Van Barel, Marc Min-max elementwise backward error for roots of polynomials and a corresponding backward stable root finder. (English) Zbl 1470.65094 Linear Algebra Appl. 623, 454-477 (2021). MSC: 65H04 65F15 30C15 15A22 15A80 15A18 47J10 PDFBibTeX XMLCite \textit{F. Tisseur} and \textit{M. Van Barel}, Linear Algebra Appl. 623, 454--477 (2021; Zbl 1470.65094) Full Text: DOI arXiv
Melman, A. Refinement of Pellet radii for matrix polynomials. (English) Zbl 1452.30007 Linear Multilinear Algebra 68, No. 11, 2185-2200 (2020). MSC: 30C15 47A56 PDFBibTeX XMLCite \textit{A. Melman}, Linear Multilinear Algebra 68, No. 11, 2185--2200 (2020; Zbl 1452.30007) Full Text: DOI
Melman, A. Directional bounds for polynomial zeros and eigenvalues. (English) Zbl 1430.30002 J. Math. Anal. Appl. 482, No. 2, Article ID 123571, 11 p. (2020). MSC: 30C10 30C15 15A18 15A42 PDFBibTeX XMLCite \textit{A. Melman}, J. Math. Anal. Appl. 482, No. 2, Article ID 123571, 11 p. (2020; Zbl 1430.30002) Full Text: DOI
Melman, A. Extensions of the Eneström-Kakeya theorem for matrix polynomials. (English) Zbl 1443.12001 Spec. Matrices 7, 304-315 (2019). MSC: 12D10 30C15 65H05 PDFBibTeX XMLCite \textit{A. Melman}, Spec. Matrices 7, 304--315 (2019; Zbl 1443.12001) Full Text: DOI
Melman, A. Bounds for eigenvalues of matrix polynomials with applications to scalar polynomials. (English) Zbl 1338.15028 Linear Algebra Appl. 504, 190-203 (2016). MSC: 15A18 30C15 65F15 PDFBibTeX XMLCite \textit{A. Melman}, Linear Algebra Appl. 504, 190--203 (2016; Zbl 1338.15028) Full Text: DOI
Van Barel, Marc Designing rational filter functions for solving eigenvalue problems by contour integration. (English) Zbl 1386.65115 Linear Algebra Appl. 502, 346-365 (2016). MSC: 65F15 47J10 30E05 30E20 PDFBibTeX XMLCite \textit{M. Van Barel}, Linear Algebra Appl. 502, 346--365 (2016; Zbl 1386.65115) Full Text: DOI
Van Barel, Marc; Kravanja, Peter Nonlinear eigenvalue problems and contour integrals. (English) Zbl 1329.65109 J. Comput. Appl. Math. 292, 526-540 (2016). MSC: 65H17 65F15 30E05 47J10 PDFBibTeX XMLCite \textit{M. Van Barel} and \textit{P. Kravanja}, J. Comput. Appl. Math. 292, 526--540 (2016; Zbl 1329.65109) Full Text: DOI
Bindel, David; Hood, Amanda Localization theorems for nonlinear eigenvalue problems. (English) Zbl 1338.15022 SIAM Rev. 57, No. 4, 585-607 (2015). MSC: 15A18 15A42 15A60 30E10 PDFBibTeX XMLCite \textit{D. Bindel} and \textit{A. Hood}, SIAM Rev. 57, No. 4, 585--607 (2015; Zbl 1338.15022) Full Text: DOI