Li, Ruipeng; Xi, Yuanzhe; Saad, Yousef Schur complement-based domain decomposition preconditioners with low-rank corrections. (English) Zbl 1399.65238 Numer. Linear Algebra Appl. 23, No. 4, 706-729 (2016). Reviewer: Miroslav Tůma (Praha) MSC: 65M55 65F08 65F10 65F50 35J05 15A18 PDFBibTeX XMLCite \textit{R. Li} et al., Numer. Linear Algebra Appl. 23, No. 4, 706--729 (2016; Zbl 1399.65238) Full Text: DOI arXiv
Laub, A. J.; Xia, J. Fast condition estimation for a class of structured eigenvalue problems. (English) Zbl 1223.65026 SIAM J. Matrix Anal. Appl. 30, No. 4, 1658-1676 (2009). MSC: 65F15 65F35 15A12 PDFBibTeX XMLCite \textit{A. J. Laub} and \textit{J. Xia}, SIAM J. Matrix Anal. Appl. 30, No. 4, 1658--1676 (2009; Zbl 1223.65026) Full Text: DOI Link
Huang, Tsung-Ming; Lin, Wen-Wei Structured doubling algorithms for weakly stabilizing Hermitian solutions of algebraic Riccati equations. (English) Zbl 1169.65038 Linear Algebra Appl. 430, No. 5-6, 1452-1478 (2009). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{T.-M. Huang} and \textit{W.-W. Lin}, Linear Algebra Appl. 430, No. 5--6, 1452--1478 (2009; Zbl 1169.65038) Full Text: DOI
Granat, Robert; Kågström, Bo Direct eigenvalue reordering in a product of matrices in periodic Schur form. (English) Zbl 1113.65039 SIAM J. Matrix Anal. Appl. 28, No. 1, 285-300 (2006). Reviewer: Amin Boumenir (Carrollton) MSC: 65F30 65F15 15A24 PDFBibTeX XMLCite \textit{R. Granat} and \textit{B. Kågström}, SIAM J. Matrix Anal. Appl. 28, No. 1, 285--300 (2006; Zbl 1113.65039) Full Text: DOI
Kreßner, Daniel Numerical methods and software for general and structured eigenvalue problems. (English) Zbl 1213.65062 Berlin: TU Berlin, Fakultät II, Mathematik und Naturwissenschaften (Diss.). 267 p. (2004). MSC: 65F15 15-04 PDFBibTeX XMLCite \textit{D. Kreßner}, Numerical methods and software for general and structured eigenvalue problems. Berlin: TU Berlin, Fakultät II, Mathematik und Naturwissenschaften (Diss.) (2004; Zbl 1213.65062) Full Text: Link
Bai, Zhaojun; Stewart, G. W. Algorithm 776: SRRIT: A Fortran subroutine to calculate the dominant invariant subspace of a nonsymmetric matrix. (English) Zbl 0912.65029 ACM Trans. Math. Softw. 23, No. 4, 494-513 (1997). MSC: 65F15 15-04 65F50 65F25 PDFBibTeX XMLCite \textit{Z. Bai} and \textit{G. W. Stewart}, ACM Trans. Math. Softw. 23, No. 4, 494--513 (1997; Zbl 0912.65029) Full Text: DOI Link
Dieci, Luca; Morini, Benedetta; Papini, Alessandra Computational techniques for real logarithms of matrices. (English) Zbl 0870.65036 SIAM J. Matrix Anal. Appl. 17, No. 3, 570-593 (1996). Reviewer: F.Uhlig (Auburn) MSC: 65F30 15A12 15A60 65F35 PDFBibTeX XMLCite \textit{L. Dieci} et al., SIAM J. Matrix Anal. Appl. 17, No. 3, 570--593 (1996; Zbl 0870.65036) Full Text: DOI
Gu, Ming Finding well-conditioned similarities to block-diagonalize nonsymmetric matrices is NP-hard. (English) Zbl 0843.68034 J. Complexity 11, No. 3, 377-391 (1995). MSC: 68Q15 68Q05 15A99 PDFBibTeX XMLCite \textit{M. Gu}, J. Complexity 11, No. 3, 377--391 (1995; Zbl 0843.68034) Full Text: DOI Link
George, A.; Ikramov, Kh. D.; Matushkina, E. V.; Tang, W.-P. On a QR-like algorithm for some structured eigenvalue problems. (English) Zbl 0837.65035 SIAM J. Matrix Anal. Appl. 16, No. 4, 1107-1126 (1995). Reviewer: J.Zítko (Praha) MSC: 65F15 15A23 PDFBibTeX XMLCite \textit{A. George} et al., SIAM J. Matrix Anal. Appl. 16, No. 4, 1107--1126 (1995; Zbl 0837.65035) Full Text: DOI
Bai, Zhaojun; Demmel, James W. On swapping diagonal blocks in real Schur form. (English) Zbl 0783.65030 Linear Algebra Appl. 186, 73-95 (1993). Reviewer: J.D.Dixon (Ottawa) MSC: 65F15 15A21 PDFBibTeX XMLCite \textit{Z. Bai} and \textit{J. W. Demmel}, Linear Algebra Appl. 186, 73--95 (1993; Zbl 0783.65030) Full Text: DOI
Van Dooren, P. Rational and polynomial matrix factorizations via recursive pole-zero cancellation. (English) Zbl 0709.15011 Linear Algebra Appl. 137-138, 663-697 (1990). Reviewer: J.de Graaf MSC: 15A23 15A54 93B25 PDFBibTeX XMLCite \textit{P. Van Dooren}, Linear Algebra Appl. 137--138, 663--697 (1990; Zbl 0709.15011) Full Text: DOI
Petkov, P. Khr.; Khristov, N. D.; Konstantinov, M. M. On the numerical properties of the Schur approach for solving the matrix Riccati equation. (English) Zbl 0635.65043 Syst. Control Lett. 9, 197-201 (1987). Reviewer: V.Prepeliţă MSC: 65F30 65K10 15A24 93C15 PDFBibTeX XMLCite \textit{P. Khr. Petkov} et al., Syst. Control Lett. 9, 197--201 (1987; Zbl 0635.65043) Full Text: DOI
Van Loan, Charles F. On estimating the condition of eigenvalues and eigenvectors. (English) Zbl 0631.65030 Linear Algebra Appl. 88-89, 715-732 (1987). Reviewer: T.Reginska MSC: 65F15 65F35 15A42 PDFBibTeX XMLCite \textit{C. F. Van Loan}, Linear Algebra Appl. 88--89, 715--732 (1987; Zbl 0631.65030) Full Text: DOI Link
Safonov, M. G.; Jonckheere, E. A.; Verma, M.; Limebeer, D. J. N. Synthesis of positive real multivariable feedback systems. (English) Zbl 0621.93019 Int. J. Control 45, 817-842 (1987). Reviewer: L.Rodman MSC: 93B50 93C35 93D15 15A23 15A24 93B40 PDFBibTeX XMLCite \textit{M. G. Safonov} et al., Int. J. Control 45, 817--842 (1987; Zbl 0621.93019) Full Text: DOI
Anderson, Gary; Moore, George A linear algebraic procedure for solving linear perfect foresight models. (English) Zbl 1273.91355 Econ. Lett. 17, No. 3, 247-252 (1985). MSC: 91B82 15-04 PDFBibTeX XMLCite \textit{G. Anderson} and \textit{G. Moore}, Econ. Lett. 17, No. 3, 247--252 (1985; Zbl 1273.91355) Full Text: DOI
Byers, Ralph Numerical condition of the algebraic Riccati equation. (English) Zbl 0579.65037 Linear algebra and its role in systems theory, Proc. AMS-IMS-SIAM Conf., Brunswick/Maine 1984, Contemp. Math. 47, 35-49 (1985). Reviewer: V.Mehrmann MSC: 65F35 65F30 15A24 PDFBibTeX XML
Hammarling, S. J.; Singer, M. A. A canonical form for the algebraic Riccati equation. (English) Zbl 0531.93017 Mathematical theory of networks and systems, Proc. int. Symp., Beer Sheva/Isr. 1983, Lect. Notes Control Inf. Sci. 58, 389-405 (1984). MSC: 93B10 15A21 15A24 15A18 15B57 93C05 93C15 PDFBibTeX XML
Anderson, Leonard R.; Brewer, Dennis W.; Baykan, A. Rasim Numerical solution of the symmetric Riccati equation through Riccati iteration. (English) Zbl 0517.93022 Optim. Control Appl. Methods 4, 239-251 (1983). MSC: 93B40 15A24 65F15 65H10 93C05 93C15 PDFBibTeX XMLCite \textit{L. R. Anderson} et al., Optim. Control Appl. Methods 4, 239--251 (1983; Zbl 0517.93022) Full Text: DOI
Bjoerck, Ake; Hammarling, Sven A Schur method for the square root of a matrix. (English) Zbl 0515.65037 Linear Algebra Appl. 52-53, 127-140 (1983). MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{A. Bjoerck} and \textit{S. Hammarling}, Linear Algebra Appl. 52--53, 127--140 (1983; Zbl 0515.65037) Full Text: DOI
Emami-Naeini, A.; Franklin, G. F. Design of steady-state-quadratic-loss optimal digital controls for systems with a singular system matrix. (English) Zbl 0469.93056 Circuits, systems and computers, 13th Asilomar Conf., Pacific Grove/Calif. 1979, 370-374 (1980). MSC: 93C55 93B40 15A18 PDFBibTeX XML
Bavely, Connice A.; Stewart, G. W. An algorithm for computing reducing subspaces by block diagonalization. (English) Zbl 0413.65034 SIAM J. Numer. Anal. 16, 359-367 (1979). MSC: 65F30 15A21 65F15 PDFBibTeX XMLCite \textit{C. A. Bavely} and \textit{G. W. Stewart}, SIAM J. Numer. Anal. 16, 359--367 (1979; Zbl 0413.65034) Full Text: DOI