Huang, Tsung-Ming; Li, Ren-Cang; Lin, Wen-Wei Structure-preserving doubling algorithms for nonlinear matrix equations. (English) Zbl 1435.65006 Fundamentals of Algorithms 14. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-1-61197-535-2/pbk; 978-1-61197-536-9/ebook). xii, 144 p. (2018). Reviewer: Adhemar Bultheel (Leuven) MSC: 65-02 65F45 65F15 15A24 PDFBibTeX XMLCite \textit{T.-M. Huang} et al., Structure-preserving doubling algorithms for nonlinear matrix equations. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2018; Zbl 1435.65006) Full Text: DOI
Bini, Dario A.; Iannazzo, Bruno; Meini, Beatrice Numerical solution of algebraic Riccati equations. (English) Zbl 1244.65058 Fundamentals of Algorithms 9. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-1-611972-08-5/pbk; 978-1-611972-09-2/ebook). xvi, 250 p. (2012). Reviewer: Constantin Popa (Constanţa) MSC: 65F30 15A24 65-02 PDFBibTeX XMLCite \textit{D. A. Bini} et al., Numerical solution of algebraic Riccati equations. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2012; Zbl 1244.65058) Full Text: DOI Link
Poloni, Federico Algorithms for quadratic matrix and vector equations. (English) Zbl 1235.65038 Tesi. Scuola Normale Superiore Pisa (Nuova Serie) 16. Pisa: Edizioni della Normale; Pisa: Scuola Normale Superiore (Diss. 2010) (ISBN 978-88-7642-383-3/pbk; 978-88-7642-384-0/ebook). 250 p. (2011). Reviewer: Frank Uhlig (Auburn) MSC: 65F30 65-02 15A24 15B48 15-02 PDFBibTeX XMLCite \textit{F. Poloni}, Algorithms for quadratic matrix and vector equations. Pisa: Edizioni della Normale; Pisa: Scuola Normale Superiore (Diss. 2010) (2011; Zbl 1235.65038) Full Text: DOI
Bernstein, Dennis S. Matrix mathematics. Theory, facts, and formulas. 2nd expanded ed. (English) Zbl 1183.15001 Princeton, NJ: Princeton University Press (ISBN 978-0-691-14039-1/pbk; 978-0-691-13287-7/hbk). xxxix, 1139 p. (2009). Reviewer: Nicholas Karampetakis (Thessaloniki) MSC: 15-01 93-01 15A04 15A06 15A09 15A15 15A16 93B05 93B07 93C05 93D05 15A18 15A21 15A24 15B48 15A54 15B57 15A60 PDFBibTeX XMLCite \textit{D. S. Bernstein}, Matrix mathematics. Theory, facts, and formulas. 2nd expanded ed. Princeton, NJ: Princeton University Press (2009; Zbl 1183.15001)
Woźnicki, Zbigniew Ignacy Solving linear systems. An analysis of matrix prefactorization iterative methods. (English) Zbl 1170.65002 Ithaca, NY: Matrix Editions (ISBN 978-0-9715766-6-7/hbk). xiv, 554 p. (2009). Reviewer: Dietrich Braess (Bochum) MSC: 65-02 65F10 65F35 65N06 35J25 PDFBibTeX XMLCite \textit{Z. I. Woźnicki}, Solving linear systems. An analysis of matrix prefactorization iterative methods. Ithaca, NY: Matrix Editions (2009; Zbl 1170.65002)
Hackbusch, Wolfgang Hierarchical matrices. Algorithms and analysis. (Hierarchische Matrizen. Algorithmen und Analysis.) (German) Zbl 1180.65004 Berlin: Springer (ISBN 978-3-642-00221-2/hbk; 978-3-642-00222-9/ebook). xx, 451 p. (2009). Reviewer: Lubomír Bakule (Praha) MSC: 65-02 15-02 65F50 65N22 65N30 65R20 65Y20 15A06 15A24 15A69 65N55 35J25 65F20 65F30 65F05 PDFBibTeX XMLCite \textit{W. Hackbusch}, Hierarchische Matrizen. Algorithmen und Analysis. Berlin: Springer (2009; Zbl 1180.65004) Full Text: DOI
Jank, Gerhard Matrix Riccati differential equations. (English) Zbl 1099.34002 Textos de Matemática. Série B 36. Coimbra: Universidade de Coimbra, Departamento de Matemática (ISBN 972-8564-40-6/pbk). 95 p. (2005). Reviewer: Yuri V. Rogovchenko (Famagusta) MSC: 34-02 34A12 34A34 PDFBibTeX XMLCite \textit{G. Jank}, Matrix Riccati differential equations. Coimbra: Universidade de Coimbra, Departamento de Matemática (2005; Zbl 1099.34002)
Brezinski, Claude Computational aspects of linear control. (English) Zbl 1010.93003 Numerical Methods and Algorithms. 1. Dordrecht: Kluwer Academic Publishers. ix, 295 p. EUR 115.00; $ 105.00; £72.00 (2002). Reviewer: Didier Henrion (Toulouse) MSC: 93-02 93B40 65-02 93B11 15A06 15A24 41A21 65F22 65F05 PDFBibTeX XMLCite \textit{C. Brezinski}, Computational aspects of linear control. Dordrecht: Kluwer Academic Publishers (2002; Zbl 1010.93003)
Maciejowski, J. M. Predictive control with constraints. (English) Zbl 0978.93002 Hemel Hempsted: Prentice Hall/ Pearson Education. xviii, 331 p. (2001). Reviewer: Lubomír Bakule (Barcelona) MSC: 93-02 93B51 93C55 93C35 PDFBibTeX XMLCite \textit{J. M. Maciejowski}, Predictive control with constraints. Hemel Hempsted: Prentice Hall/ Pearson Education (2001; Zbl 0978.93002)
Bollhöfer, Matthias Algebraic domain decomposition. (English) Zbl 0930.65025 Chemnitz: TU Chemnitz, Sonderforschungsbereich 393, viii, 190 p. (1998). MSC: 65F10 65F35 65N55 65Y05 PDFBibTeX XMLCite \textit{M. Bollhöfer}, Algebraic domain decomposition. Chemnitz: TU Chemnitz, Sonderforschungsbereich 393 (1998; Zbl 0930.65025)
Bollhöfer, Matthias Algebraic domain decomposition. (English) Zbl 0916.65027 Chemnitz: TU Chemnitz, Fakultät Mathematik, 190 p. (1998). MSC: 65F10 65F35 65N55 65Y05 PDFBibTeX XMLCite \textit{M. Bollhöfer}, Algebraic domain decomposition. Chemnitz: TU Chemnitz, Fakultät Mathematik (1998; Zbl 0916.65027)
Petry, Thomas Realization of the Newton-Kantorovich method for nonlinear differential-algebraic equations by means of Abramov transfer. (Realisierung des Newton-Kantorovich-Verfahrens für nichtlineare Algebro-Differentialgleichungen mittels Abramov-Transfer.) (German) Zbl 0905.65090 Berlin: Logos Verlag. 163 S. (1998). MSC: 65L10 34A09 34B15 PDFBibTeX XMLCite \textit{T. Petry}, Realisierung des Newton-Kantorovich-Verfahrens für nichtlineare Algebro-Differentialgleichungen mittels Abramov-Transfer. Berlin: Logos Verlag (1998; Zbl 0905.65090)
Benner, Peter Contributions to the numerical solution of algebraic Riccati equations and related eigenvalue problems. (English) Zbl 0896.65047 Berlin: Logos Verlag. 212 p., DM 79.00 (1997). Reviewer: H.Benker (Merseburg) MSC: 65K10 49M05 15A24 65F30 49J15 PDFBibTeX XMLCite \textit{P. Benner}, Contributions to the numerical solution of algebraic Riccati equations and related eigenvalue problems. Berlin: Logos Verlag (1997; Zbl 0896.65047)
Lancaster, Peter; Rodman, Leiba Algebraic Riccati equations. (English) Zbl 0836.15005 Oxford: Clarendon Press. xvii, 480 p. (1995). Reviewer: N.I.Osetinski (Moskva) MSC: 15A24 15-02 15A22 93C05 93C99 15A23 PDFBibTeX XMLCite \textit{P. Lancaster} and \textit{L. Rodman}, Algebraic Riccati equations. Oxford: Clarendon Press (1995; Zbl 0836.15005)
Mehrmann, Volker Ludwig The autonomous linear quadratic control problem. Theory and numerical solution. (English) Zbl 0746.93001 Lecture Notes in Control and Information Sciences. 163. Berlin etc.: Springer-Verlag. 177 p. (1991). Reviewer: D.Franke (Hamburg) MSC: 93-02 90-02 49-02 93D15 PDFBibTeX XMLCite \textit{V. L. Mehrmann}, The autonomous linear quadratic control problem. Theory and numerical solution. Berlin etc.: Springer-Verlag (1991; Zbl 0746.93001)
Bittanti, Sergio (ed.); Laub, Alan J. (ed.); Willems, Jan C. (ed.) [Ammar, Gregory; Başar, Tamer; Bitmead, Robert R.; Bittani, Sergio; Callier, Frank M.; Colerani, Patrizio; De Nicolao, Giuseppe; Gevers, Michael; Kučera, Vladimír; Lancaster, Peter; Laub, Alan J.; Martin, Clyde F.; Rodman, Leiba; Shayman, Mark A.; Trentelman, H. L.; Willems, Jacques L.; Willems, Jan C.] The Riccati equation. (English) Zbl 0734.34004 Communications and Control Engineering Series. Berlin etc.: Springer- Verlag. x, 338 p. DM 158.00/hbk (1991). Reviewer: W.Müller (Berlin) MSC: 34-02 34A05 34A26 34C25 15A24 65F15 65F30 91A23 00B15 01A50 49J15 93B25 93B36 93C05 93C55 93D10 93D15 93E11 PDFBibTeX XMLCite \textit{S. Bittanti} (ed.) et al., The Riccati equation. Berlin etc.: Springer-Verlag (1991; Zbl 0734.34004)
Weyand, Peter Praxisnahe Verfahren zum Regelungsentwurf bei dynamischen Systemen hoher Ordnung. (Practice oriented methos for the control design of higher order dynamic systems). (German) Zbl 0719.93023 Fortschritt-Berichte VDI, Reihe 8: Meß, Steuerungs- und Regelungstechnik, 225. Düsseldorf: VDI Verlag. viii, 161 S. (1990). Reviewer: S. and N.Curteanu (Iaşi) MSC: 93B51 93B40 93B52 93-02 93C95 PDFBibTeX XMLCite \textit{P. Weyand}, Praxisnahe Verfahren zum Regelungsentwurf bei dynamischen Systemen hoher Ordnung. (Practice oriented methos for the control design of higher order dynamic systems). Düsseldorf: VDI Verlag (1990; Zbl 0719.93023)
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba Matrices and indefinite scalar products. (English) Zbl 0513.15006 Operator Theory: Advances and Applications, Vol. 8. Basel -Boston - Stuttgart: Birkhäuser Verlag. XVII, 374 p. SFr. 70.00 (1983). MSC: 15A63 46C20 15-02 47B50 15B57 15A21 15A60 47A60 34A12 49J15 39A10 34D10 39A11 PDFBibTeX XML