Astuti, Pudji; Wimmer, Harald K. Pairs of Modules over a Principal Ideal Domain. arXiv:1804.00536 Preprint, arXiv:1804.00536 [math.AC] (2018). MSC: 15A33 13C12 BibTeX Cite \textit{P. Astuti} and \textit{H. K. Wimmer}, ``Pairs of Modules over a Principal Ideal Domain'', Preprint, arXiv:1804.00536 [math.AC] (2018) Full Text: arXiv OA License
Wimmer, Harald K. Contour integral solutions of Sylvester-type matrix equations. (English) Zbl 1329.15043 Linear Algebra Appl. 493, 537-543 (2016). MSC: 15A24 15A22 47A60 PDFBibTeX XMLCite \textit{H. K. Wimmer}, Linear Algebra Appl. 493, 537--543 (2016; Zbl 1329.15043) Full Text: DOI
Wimmer, Harald K. Polynomials with a sharp Cauchy bound and their zeros of maximal modulus. (English) Zbl 1337.30010 Math. Inequal. Appl. 18, No. 4, 1387-1392 (2015). Reviewer: Olga M. Katkova (Boston) MSC: 30C15 30C10 15B48 PDFBibTeX XMLCite \textit{H. K. Wimmer}, Math. Inequal. Appl. 18, No. 4, 1387--1392 (2015; Zbl 1337.30010) Full Text: DOI
Astuti, Pudji; Wimmer, Harald K. Hyperinvariant subspaces of locally nilpotent linear transformations. (English) Zbl 1321.15009 Linear Algebra Appl. 486, 469-474 (2015). MSC: 15A04 47A15 PDFBibTeX XMLCite \textit{P. Astuti} and \textit{H. K. Wimmer}, Linear Algebra Appl. 486, 469--474 (2015; Zbl 1321.15009) Full Text: DOI arXiv
Astuti, Pudji; Wimmer, Harald K. Characteristic subspaces and hyperinvariant frames. (English) Zbl 1321.15006 Linear Algebra Appl. 482, 21-46 (2015). MSC: 15A03 42C15 PDFBibTeX XMLCite \textit{P. Astuti} and \textit{H. K. Wimmer}, Linear Algebra Appl. 482, 21--46 (2015; Zbl 1321.15006) Full Text: DOI arXiv
Astuti, Pudji; Wimmer, Harald K. Characteristic invariant subspaces generated by a single vector. (English) Zbl 1309.15017 Linear Algebra Appl. 470, 81-103 (2015). MSC: 15A18 47A15 15B57 PDFBibTeX XMLCite \textit{P. Astuti} and \textit{H. K. Wimmer}, Linear Algebra Appl. 470, 81--103 (2015; Zbl 1309.15017) Full Text: DOI
Astuti, Pudji; Wimmer, Harald K. Linear transformations with characteristic subspaces that are not hyperinvariant. (English) Zbl 1308.15006 Oper. Matrices 8, No. 3, 725-745 (2014). Reviewer: C. M. da Fonseca (Safat) MSC: 15A18 47A15 15A04 PDFBibTeX XMLCite \textit{P. Astuti} and \textit{H. K. Wimmer}, Oper. Matrices 8, No. 3, 725--745 (2014; Zbl 1308.15006) Full Text: DOI arXiv Link
Lin, Minghua; Wimmer, Harald K. Bilinear characterizations of companion matrices. (English) Zbl 1291.15004 Spec. Matrices 2, No. 1, 99-105 (2014). MSC: 15A03 15A15 93B05 PDFBibTeX XMLCite \textit{M. Lin} and \textit{H. K. Wimmer}, Spec. Matrices 2, 99--105 (2014; Zbl 1291.15004) Full Text: DOI arXiv
Ferrante, Augusto; Wimmer, Harald K. Pairs of \(k\)-step reachability and \(m\)-step observability matrices. (English) Zbl 1291.15003 Spec. Matrices 1, 25-27 (2013). MSC: 15A03 93B05 15A09 PDFBibTeX XMLCite \textit{A. Ferrante} and \textit{H. K. Wimmer}, Spec. Matrices 1, 25--27 (2013; Zbl 1291.15003) Full Text: DOI arXiv
Ito, Naoharu; Wimmer, Harald K. Rank minimization of generalized Sylvester equations over Bézout domains. (English) Zbl 1283.15045 Linear Algebra Appl. 439, No. 3, 592-599 (2013). MSC: 15A24 15A03 15B33 PDFBibTeX XMLCite \textit{N. Ito} and \textit{H. K. Wimmer}, Linear Algebra Appl. 439, No. 3, 592--599 (2013; Zbl 1283.15045) Full Text: DOI
Astuti, Pudji; Wimmer, Harald K. Characteristic and hyperinvariant subspaces over the field \(\mathrm{GF}(2)\). (English) Zbl 1263.15007 Linear Algebra Appl. 438, No. 4, 1551-1563 (2013). Reviewer: John D. Dixon (Ottawa) MSC: 15A18 15A21 47A15 PDFBibTeX XMLCite \textit{P. Astuti} and \textit{H. K. Wimmer}, Linear Algebra Appl. 438, No. 4, 1551--1563 (2013; Zbl 1263.15007) Full Text: DOI arXiv
Ferrante, Augusto; Wimmer, Harald K. Roth’s similarity theorem and rank minimization in the presence of nonderogatory or semisimple eigenvalues. (English) Zbl 1264.15017 Linear Multilinear Algebra 61, No. 2, 217-231 (2013). Reviewer: Ludwig Kohaupt (Berlin) MSC: 15A24 15A03 15A18 PDFBibTeX XMLCite \textit{A. Ferrante} and \textit{H. K. Wimmer}, Linear Multilinear Algebra 61, No. 2, 217--231 (2013; Zbl 1264.15017) Full Text: DOI
Lin, Minghua; Wimmer, Harald K. The generalized Sylvester matrix equation, rank minimization and Roth’s equivalence theorem. (English) Zbl 1383.15014 Bull. Aust. Math. Soc. 84, No. 3, 441-443 (2011). Reviewer: Jaroslav Zemánek (Warszawa) MSC: 15A24 PDFBibTeX XMLCite \textit{M. Lin} and \textit{H. K. Wimmer}, Bull. Aust. Math. Soc. 84, No. 3, 441--443 (2011; Zbl 1383.15014) Full Text: DOI
Ito, Naoharu; Küstner, Reinhold; Wimmer, Harald K. Self-inversive matrix polynomials with semisimple spectrum on the unit circle. (English) Zbl 1235.15008 Oper. Matrices 5, No. 3, 495-503 (2011). Reviewer: Michal Zajac (Bratislava) MSC: 15A18 26C10 30C15 15A54 39A06 15A60 PDFBibTeX XMLCite \textit{N. Ito} et al., Oper. Matrices 5, No. 3, 495--503 (2011; Zbl 1235.15008) Full Text: DOI Link
Wimmer, Harald K. Matrix polynomials with spectral radius equal to the numerical radius. (English) Zbl 1242.15020 J. Math. Anal. Appl. 381, No. 1, 80-86 (2011). Reviewer: Martín Argerami (Regina) MSC: 15A60 15A18 15A54 PDFBibTeX XMLCite \textit{H. K. Wimmer}, J. Math. Anal. Appl. 381, No. 1, 80--86 (2011; Zbl 1242.15020) Full Text: DOI
Wimmer, Harald K. Discrete-time stability of a class of Hermitian polynomial matrices with positive semidefinite coefficients. (English) Zbl 1215.15023 Olshevsky, Vadim (ed.) et al., Matrix methods. Theory, algorithms and applications. Dedicated to the memory of Gene Golub. Based on the 2nd international conference on matrix methods and operator equations, Moscow, Russia, July 23–27, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-283-601-4/hbk). 409-414 (2010). MSC: 15A54 30C15 39A06 39A30 PDFBibTeX XMLCite \textit{H. K. Wimmer}, in: Matrix methods. Theory, algorithms and applications. Dedicated to the memory of Gene Golub. Based on the 2nd international conference on matrix methods and operator equations, Moscow, Russia, July 23--27, 2007. Hackensack, NJ: World Scientific. 409--414 (2010; Zbl 1215.15023)
Ferrante, Augusto; Wimmer, Harald K. Reachability matrices and cyclic matrices. (English) Zbl 1198.15009 Electron. J. Linear Algebra 20, 95-102 (2010). Reviewer: Cyril Fischer (Praha) MSC: 15A23 15A03 15A15 93B05 15A54 PDFBibTeX XMLCite \textit{A. Ferrante} and \textit{H. K. Wimmer}, Electron. J. Linear Algebra 20, 95--102 (2010; Zbl 1198.15009) Full Text: DOI EuDML EMIS
Astuti, Pudji; Wimmer, Harald K. Hyperinvariant, characteristic and marked subspaces. (English) Zbl 1181.15009 Oper. Matrices 3, No. 2, Article ID 16, 261-270 (2009). Reviewer: John D. Dixon (Ottawa) MSC: 15A18 47A15 15A60 15A21 PDFBibTeX XMLCite \textit{P. Astuti} and \textit{H. K. Wimmer}, Oper. Matrices 3, No. 2, Article ID 16, 261--270 (2009; Zbl 1181.15009) Full Text: arXiv Link
Wimmer, Harald K. Diagonal stability of matrices with cyclic structure and the secant condition. (English) Zbl 1159.93022 Syst. Control Lett. 58, No. 5, 309-313 (2009). MSC: 93D09 93C15 15A39 PDFBibTeX XMLCite \textit{H. K. Wimmer}, Syst. Control Lett. 58, No. 5, 309--313 (2009; Zbl 1159.93022) Full Text: DOI
Damm, Tobias; Wimmer, Harald K. A cancellation property of the Moore-Penrose inverse of triple products. (English) Zbl 1163.15001 J. Aust. Math. Soc. 86, No. 1, 33-44 (2009). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 15A09 15A24 15A90 92E10 81V55 PDFBibTeX XMLCite \textit{T. Damm} and \textit{H. K. Wimmer}, J. Aust. Math. Soc. 86, No. 1, 33--44 (2009; Zbl 1163.15001) Full Text: DOI
Wimmer, Harald K. Block companion matrices, discrete-time block diagonal stability and polynomial matrices. (English) Zbl 1166.93015 Oper. Matrices 3, No. 1, 111-124 (2009). MSC: 93D05 93C55 15B33 15A24 15B57 26C10 30C15 39A11 PDFBibTeX XMLCite \textit{H. K. Wimmer}, Oper. Matrices 3, No. 1, 111--124 (2009; Zbl 1166.93015) Full Text: DOI
Wimmer, Harald K. Polynomial matrices with Hermitian coefficients and a generalization of the Eneström-Kakeya theorem. (English) Zbl 1178.15015 Oper. Matrices 2, No. 3, 443-454 (2008). Reviewer: Juan Rafael Sendra (Alcalá de Henares) MSC: 15A54 15B33 15A24 30C15 39A30 PDFBibTeX XMLCite \textit{H. K. Wimmer}, Oper. Matrices 2, No. 3, 443--454 (2008; Zbl 1178.15015) Full Text: DOI
Dirr, Gunther; Wimmer, Harald K. An Eneström-Kakeya theorem for Hermitian polynomial matrices. (English) Zbl 1366.15033 IEEE Trans. Autom. Control 52, No. 11, 2151-2153 (2007). MSC: 15B57 39A05 93C55 PDFBibTeX XMLCite \textit{G. Dirr} and \textit{H. K. Wimmer}, IEEE Trans. Autom. Control 52, No. 11, 2151--2153 (2007; Zbl 1366.15033) Full Text: DOI
Ferrante, Augusto; Wimmer, Harald K. Order reduction of discrete-time algebraic Riccati equations with singular closed loop matrix. (English) Zbl 1121.15017 Oper. Matrices 1, No. 1, 61-70 (2007). Reviewer: Mihail Voicu (Iaşi) MSC: 15A24 93C55 93B11 PDFBibTeX XMLCite \textit{A. Ferrante} and \textit{H. K. Wimmer}, Oper. Matrices 1, No. 1, 61--70 (2007; Zbl 1121.15017) Full Text: DOI
Astuti, Pudji; Wimmer, Harald K. A class of marked invariant subspaces with an application to algebraic Riccati equations. (English) Zbl 1128.93025 Automatica 42, No. 9, 1503-1506 (2006). MSC: 93C05 15A24 93B60 PDFBibTeX XMLCite \textit{P. Astuti} and \textit{H. K. Wimmer}, Automatica 42, No. 9, 1503--1506 (2006; Zbl 1128.93025) Full Text: DOI arXiv
Wimmer, Harald K. Inertial signatures of Hermitian polynomial matrices. (English) Zbl 1118.15013 SIAM J. Matrix Anal. Appl. 28, No. 2, 596-601 (2006). Reviewer: Mihail Voicu (Iaşi) MSC: 15A21 15B57 15A54 15A22 93B15 PDFBibTeX XMLCite \textit{H. K. Wimmer}, SIAM J. Matrix Anal. Appl. 28, No. 2, 596--601 (2006; Zbl 1118.15013) Full Text: DOI
Wimmer, Harald K. A parametrization of solutions of the discrete-time algebraic Riccati equation based on pairs of opposite unmixed solutions. (English) Zbl 1121.15018 SIAM J. Control Optim. 44, No. 6, 1992-2005 (2006). Reviewer: Vladimir P. Kostov (Nice) MSC: 15A24 93C55 47A64 PDFBibTeX XMLCite \textit{H. K. Wimmer}, SIAM J. Control Optim. 44, No. 6, 1992--2005 (2006; Zbl 1121.15018) Full Text: DOI
Rakočević, Vladimir; Wimmer, Harald K. A variational characterization of canonical angles between subspaces. (English) Zbl 1051.15009 J. Geom. 78, No. 1-2, 122-124 (2003). Reviewer: Václav Burjan (Praha) MSC: 15A18 15A63 PDFBibTeX XMLCite \textit{V. Rakočević} and \textit{H. K. Wimmer}, J. Geom. 78, No. 1--2, 122--124 (2003; Zbl 1051.15009) Full Text: DOI
Wimmer, Harald K. Similarity of block companion and block Toeplitz matrices. (English) Zbl 0998.15032 Linear Algebra Appl. 343-344, 381-387 (2002). Reviewer: Stanilov Grosio (Sofia) MSC: 15B57 15A21 PDFBibTeX XMLCite \textit{H. K. Wimmer}, Linear Algebra Appl. 343--344, 381--387 (2002; Zbl 0998.15032) Full Text: DOI
Astuti, Pudji; Wimmer, Harald K. Homomorphisms of modules associated with polynomial matrices with infinite elementary divisors. (English) Zbl 0986.93019 Syst. Control Lett. 44, No. 5, 333-337 (2001). MSC: 93B25 15A54 PDFBibTeX XMLCite \textit{P. Astuti} and \textit{H. K. Wimmer}, Syst. Control Lett. 44, No. 5, 333--337 (2001; Zbl 0986.93019) Full Text: DOI arXiv
Clements, David J.; Wimmer, Harald K. Montononicity of the optimal cost in the discrete-time regulator problem and Schur complements. (English) Zbl 0990.93069 Automatica 37, No. 11, 1779-1786 (2001). Reviewer: L.Rodman (Williamsburg) MSC: 93C55 49N10 15A39 PDFBibTeX XMLCite \textit{D. J. Clements} and \textit{H. K. Wimmer}, Automatica 37, No. 11, 1779--1786 (2001; Zbl 0990.93069) Full Text: DOI
Wimmer, H. K. Existence of unmixed solutions of the discrete-time algebraic Riccati equation and a nonstrictly bounded real lemma. (English) Zbl 0974.93032 Syst. Control Lett. 43, No. 2, 141-147 (2001). MSC: 93C55 93D15 15A24 PDFBibTeX XMLCite \textit{H. K. Wimmer}, Syst. Control Lett. 43, No. 2, 141--147 (2001; Zbl 0974.93032) Full Text: DOI
Wimmer, Harald K. Extensions of the bounded real lemma of discrete-time systems. (English) Zbl 1002.93033 Int. J. Control 73, No. 14, 1322-1328 (2000). Reviewer: Dmitriy Kalyuzhniy-Verbovetzky (Rehovot) MSC: 93C55 93B36 15A24 PDFBibTeX XMLCite \textit{H. K. Wimmer}, Int. J. Control 73, No. 14, 1322--1328 (2000; Zbl 1002.93033) Full Text: DOI
Ito, Naoharu; Schmale, Wiland; Wimmer, Harald K. \((C,A)\)-invariance of modules over principal ideal domains. (English) Zbl 0960.93005 SIAM J. Control Optimization 38, No. 6, 1859-1873 (2000). Reviewer: Nikolai I.Osetinski (Moskva) MSC: 93B07 15B33 93B25 PDFBibTeX XMLCite \textit{N. Ito} et al., SIAM J. Control Optim. 38, No. 6, 1859--1873 (2000; Zbl 0960.93005) Full Text: DOI
Wimmer, Harald K. Lipschitz continuity of oblique projections. (English) Zbl 0935.46014 Proc. Am. Math. Soc. 128, No. 3, 873-876 (2000). Reviewer: J.Howard (Las Vegas/New Mexico) MSC: 46B10 15A45 46B20 46B07 PDFBibTeX XMLCite \textit{H. K. Wimmer}, Proc. Am. Math. Soc. 128, No. 3, 873--876 (2000; Zbl 0935.46014) Full Text: DOI
Wimmer, Harald K. Canonical angles of unitary spaces and perturbations of direct complements. (English) Zbl 0937.15002 Linear Algebra Appl. 287, No. 1-3, 373-379 (1999). Reviewer: Váslaw Burjan (Praha) MSC: 15A03 15A18 PDFBibTeX XMLCite \textit{H. K. Wimmer}, Linear Algebra Appl. 287, No. 1--3, 373--379 (1999; Zbl 0937.15002) Full Text: DOI
Wimmer, Harald K. Intervals of solutions of the discrete-time algebraic Riccati equation. (English) Zbl 0913.93045 Syst. Control Lett. 36, No. 3, 207-212 (1999). MSC: 93C55 93B27 93D15 49N10 15A24 PDFBibTeX XMLCite \textit{H. K. Wimmer}, Syst. Control Lett. 36, No. 3, 207--212 (1999; Zbl 0913.93045) Full Text: DOI
Wimmer, Harald K. Diagonal matrix solutions of a discrete-time Lyapunov inequality. (English) Zbl 0904.93032 IEEE Trans. Autom. Control 43, No. 3, 442-445 (1998). Reviewer: L.Rodman (Williamsburg) MSC: 93D20 15A39 PDFBibTeX XMLCite \textit{H. K. Wimmer}, IEEE Trans. Autom. Control 43, No. 3, 442--445 (1998; Zbl 0904.93032) Full Text: DOI Link
Wimmer, Harald K. Spectral factorizations with unmixed pole and zero sets. (English) Zbl 0874.93030 Automatica 33, No. 2, 235-238 (1997). Reviewer: A.Halanay (Bucureşti) MSC: 93B25 93B20 15A23 PDFBibTeX XMLCite \textit{H. K. Wimmer}, Automatica 33, No. 2, 235--238 (1997; Zbl 0874.93030) Full Text: DOI
Wimmer, Harald K. The generalized Sylvester equation in polynomial matrices. (English) Zbl 0862.93017 IEEE Trans. Autom. Control 41, No. 9, 1372-1376 (1996). Reviewer: L.Rodman (Williamsburg) MSC: 93B25 15A24 PDFBibTeX XMLCite \textit{H. K. Wimmer}, IEEE Trans. Autom. Control 41, No. 9, 1372--1376 (1996; Zbl 0862.93017) Full Text: DOI Link
van den Driessche, Pauline; Wimmer, Harald K. Explicit polar decomposition of companion matrices. (English) Zbl 0895.15004 Electron. J. Linear Algebra 1, 64-69 (1996). Reviewer: Huberta Lausch (Würzburg) MSC: 15A23 15A18 30C15 PDFBibTeX XMLCite \textit{P. van den Driessche} and \textit{H. K. Wimmer}, Electron. J. Linear Algebra 1, 64--69 (1996; Zbl 0895.15004) Full Text: DOI EuDML EMIS Link
Wimmer, Harald K. On the existence of a least and negative-semidefinite solution of the discrete-time algebraic Riccati equation. (English) Zbl 0851.15011 J. Math. Syst. Estim. Control 5, No. 4, 445-457 (1995). Reviewer: V.Prepeliţă (Bucureşti) MSC: 15A24 93C55 PDFBibTeX XMLCite \textit{H. K. Wimmer}, J. Math. Syst. Estim. Control 5, No. 4, 445--457 (1995; Zbl 0851.15011)
Wimmer, Harald K. Isolated semidefinite solutions of the continuous-time algebraic Riccati equation. (English) Zbl 0826.15010 Integral Equations Oper. Theory 21, No. 3, 362-375 (1995). Reviewer: N.I.Osetinski (Moskva) MSC: 15A24 93C99 PDFBibTeX XMLCite \textit{H. K. Wimmer}, Integral Equations Oper. Theory 21, No. 3, 362--375 (1995; Zbl 0826.15010) Full Text: DOI
Wimmer, Harald K. Decomposition and parametrization of semidefinite solutions of the continuous-time algebraic Riccati equation. (English) Zbl 0799.93034 SIAM J. Control Optimization 32, No. 4, 995-1007 (1994). MSC: 93C99 15A24 PDFBibTeX XMLCite \textit{H. K. Wimmer}, SIAM J. Control Optim. 32, No. 4, 995--1007 (1994; Zbl 0799.93034) Full Text: DOI
Wimmer, H. K. Roth’s theorems for matrix equations with symmetry constraints. (English) Zbl 0796.15014 Linear Algebra Appl. 199, 357-362 (1994). Reviewer: S.Sridhar (Madras) MSC: 15A24 PDFBibTeX XMLCite \textit{H. K. Wimmer}, Linear Algebra Appl. 199, 357--362 (1994; Zbl 0796.15014) Full Text: DOI
Wimmer, Harald K. Pairs of companion matrices and their simultaneous reduction to complementary triangular forms. (English) Zbl 0776.15006 Linear Algebra Appl. 182, 179-197 (1993). Reviewer: G.E.Wall (Sydney) MSC: 15A21 15A23 PDFBibTeX XMLCite \textit{H. K. Wimmer}, Linear Algebra Appl. 182, 179--197 (1993; Zbl 0776.15006) Full Text: DOI
Wimmer, Harald K. Explicit solutions of the matrix equation \({\sum{}}A^ iXD_ i=C^*\). (English) Zbl 0765.15003 SIAM J. Matrix Anal. Appl. 13, No. 4, 1123-1130 (1992). Reviewer: N.I.Osetinski (Moskva) MSC: 15A24 15A54 PDFBibTeX XMLCite \textit{H. K. Wimmer}, SIAM J. Matrix Anal. Appl. 13, No. 4, 1123--1130 (1992; Zbl 0765.15003) Full Text: DOI
Wimmer, H. K. Unmixed solutions of the discrete-time algebraic Riccati equation. (English) Zbl 0759.15005 SIAM J. Control Optimization 30, No. 4, 867-878 (1992). Reviewer: V.Mehrmann (Chemnitz) MSC: 15A24 93C55 PDFBibTeX XMLCite \textit{H. K. Wimmer}, SIAM J. Control Optim. 30, No. 4, 867--878 (1992; Zbl 0759.15005) Full Text: DOI
Bart, H.; Wimmer, H. K. Simultaneous reduction to triangular and companion forms of pairs of matrices: The case \(rank(I-AZ)=1\). (English) Zbl 0724.15011 Linear Algebra Appl. 150, 443-461 (1991). Reviewer: V.Perić (Sarajevo) MSC: 15A21 PDFBibTeX XMLCite \textit{H. Bart} and \textit{H. K. Wimmer}, Linear Algebra Appl. 150, 443--461 (1991; Zbl 0724.15011) Full Text: DOI
Wimmer, Harald K. Normal forms of symplectic pencils and the discrete-time algebraic Riccati equation. (English) Zbl 0722.15012 Linear Algebra Appl. 147, 411-440 (1991). Reviewer: V.Mehrmann (Bielefeld) MSC: 15A21 15A22 15A24 93B25 PDFBibTeX XMLCite \textit{H. K. Wimmer}, Linear Algebra Appl. 147, 411--440 (1991; Zbl 0722.15012) Full Text: DOI
Wimmer, Harald K. On the history of the Bézoutian and the resultant matrix. (English) Zbl 0711.15028 Linear Algebra Appl. 128, 27-34 (1990). Reviewer: V.Pták MSC: 15B57 15A06 15-03 PDFBibTeX XMLCite \textit{H. K. Wimmer}, Linear Algebra Appl. 128, 27--34 (1990; Zbl 0711.15028) Full Text: DOI
Wimmer, Harald K. Strong solutions of the discrete-time algebraic Riccati equation. (English) Zbl 0692.93075 Syst. Control Lett. 13, No. 5, 455-457 (1989). MSC: 93E11 49J99 15A24 PDFBibTeX XMLCite \textit{H. K. Wimmer}, Syst. Control Lett. 13, No. 5, 455--457 (1989; Zbl 0692.93075) Full Text: DOI
Wimmer, Harald K. Generalized singular values and interlacing inequalities. (English) Zbl 0692.15015 J. Math. Anal. Appl. 137, No. 1, 181-184 (1989). Reviewer: P.M.Gibson MSC: 15A42 PDFBibTeX XMLCite \textit{H. K. Wimmer}, J. Math. Anal. Appl. 137, No. 1, 181--184 (1989; Zbl 0692.15015) Full Text: DOI
Wimmer, Harald K. Generalized Bézoutians and block Hankel matrices. (English) Zbl 0685.15011 Linear Algebra Appl. 117, 105-113 (1989). Reviewer: B.Reichstein MSC: 15A23 15A54 15A24 15B57 PDFBibTeX XMLCite \textit{H. K. Wimmer}, Linear Algebra Appl. 117, 105--113 (1989; Zbl 0685.15011) Full Text: DOI
Wimmer, Harald K. Bézoutians of polynomial matrices and their generalized inverses. (English) Zbl 0682.15004 Linear Algebra Appl. 122-124, 475-487 (1989). Reviewer: S.L.Campbell MSC: 15A09 15A54 PDFBibTeX XML Full Text: DOI
Wimmer, Harald K. Linear matrix equations: The module theoretic approach. (English) Zbl 0677.15001 Linear Algebra Appl. 120, 149-164 (1989). Reviewer: G.P.Barker MSC: 15A24 12D10 16D80 PDFBibTeX XMLCite \textit{H. K. Wimmer}, Linear Algebra Appl. 120, 149--164 (1989; Zbl 0677.15001) Full Text: DOI
Wimmer, Harald K. The kernel of the Bézoutian of polynomial matrices. (English) Zbl 0674.15013 Syst. Control Lett. 12, No. 3, 287-290 (1989). Reviewer: K.H.Kim MSC: 15A54 PDFBibTeX XMLCite \textit{H. K. Wimmer}, Syst. Control Lett. 12, No. 3, 287--290 (1989; Zbl 0674.15013) Full Text: DOI
Wimmer, Harald K. Root vectors and Jordan chains of integer matrices. (English) Zbl 0659.15014 Linear Algebra Appl. 112, 161-168 (1989). Reviewer: L.Mihalyffy MSC: 15B36 15A21 PDFBibTeX XMLCite \textit{H. K. Wimmer}, Linear Algebra Appl. 112, 161--168 (1989; Zbl 0659.15014) Full Text: DOI
Wimmer, Harald K. Linear matrix equations, controllability and observability, and the rank of solutions. (English) Zbl 0665.93003 SIAM J. Matrix Anal. Appl. 9, No. 4, 570-578 (1988). Reviewer: D.Hinrichsen MSC: 93B05 93B07 15A24 PDFBibTeX XMLCite \textit{H. K. Wimmer}, SIAM J. Matrix Anal. Appl. 9, No. 4, 570--578 (1988; Zbl 0665.93003) Full Text: DOI
Wimmer, Harald K. The matrix equation \(X-AXB=C\) and an analogue of Roth’s theorem. (English) Zbl 0656.15005 Linear Algebra Appl. 109, 145-147 (1988). Reviewer: J.D.Dixon MSC: 15A24 15A22 PDFBibTeX XMLCite \textit{H. K. Wimmer}, Linear Algebra Appl. 109, 145--147 (1988; Zbl 0656.15005) Full Text: DOI
Wimmer, Harald K. A factorization of the generalized Bézoutian of polynomial matrices. (English) Zbl 0656.15004 Linear Multilinear Algebra 23, No. 3, 255-261 (1988). Reviewer: Chen Zhijie MSC: 15A23 15A54 PDFBibTeX XMLCite \textit{H. K. Wimmer}, Linear Multilinear Algebra 23, No. 3, 255--261 (1988; Zbl 0656.15004) Full Text: DOI
Wimmer, Harald K. Extremal problems for Hölder norms of matrices and realizations of linear systems. (English) Zbl 0653.15018 SIAM J. Matrix Anal. Appl. 9, No. 3, 314-322 (1988). Reviewer: Z.Dostal MSC: 15A60 15A23 93B15 PDFBibTeX XMLCite \textit{H. K. Wimmer}, SIAM J. Matrix Anal. Appl. 9, No. 3, 314--322 (1988; Zbl 0653.15018) Full Text: DOI
Wimmer, Harald K. Duality of finite Abelian groups and a Jordan normal form of integer matrices. (English) Zbl 0632.20034 Linear Algebra Appl. 90, 89-104 (1987). Reviewer: K.Honda MSC: 20K01 15A21 15B36 15A23 PDFBibTeX XMLCite \textit{H. K. Wimmer}, Linear Algebra Appl. 90, 89--104 (1987; Zbl 0632.20034) Full Text: DOI
Wimmer, Harald K. Realizations of matrices of rational numbers. (English) Zbl 0606.15006 J. Number Theory 25, 169-183 (1987). Reviewer: J.D.Dixon MSC: 15A23 93C05 PDFBibTeX XMLCite \textit{H. K. Wimmer}, J. Number Theory 25, 169--183 (1987; Zbl 0606.15006) Full Text: DOI
Wimmer, Harald K. Matrices of rational numbers, state group realizations and straight bases of abelian groups. (English) Zbl 0616.15023 Syst. Control Lett. 7, 377-384 (1986). Reviewer: O.Pastravanu MSC: 15A54 15A90 20K01 PDFBibTeX XMLCite \textit{H. K. Wimmer}, Syst. Control Lett. 7, 377--384 (1986; Zbl 0616.15023) Full Text: DOI
Wimmer, Harald K. Rellich’s perturbation theorem on Hermitian matrices of holomorphic functions. (English) Zbl 0606.15004 J. Math. Anal. Appl. 114, 52-54 (1986). MSC: 15A21 15A60 47A55 PDFBibTeX XMLCite \textit{H. K. Wimmer}, J. Math. Anal. Appl. 114, 52--54 (1986; Zbl 0606.15004) Full Text: DOI
Wimmer, Harald K. State group realizations of matrices of rational numbers. (English) Zbl 0601.15016 Frequency domain and state space methods for linear systems, Sel. Pap. 7th Int. Symp. Math. Theory Networks Syst., Stockholm 1985, 89-95 (1986). Reviewer: M.Kono MSC: 15A54 93B25 PDFBibTeX XML
Wimmer, H. K. Monotonicity of maximal solutions of algebraic Riccati equations. (English) Zbl 0583.15007 Syst. Control Lett. 5, 317-319 (1985). Reviewer: M.E.Sezer MSC: 15A24 PDFBibTeX XMLCite \textit{H. K. Wimmer}, Syst. Control Lett. 5, 317--319 (1985; Zbl 0583.15007) Full Text: DOI
Wimmer, Harald K. Powers of a matrix and a formula for the moduli of its eigenvalues. (English) Zbl 0578.15020 Linear Algebra Appl. 71, 339-340 (1985). Reviewer: M.Voicu MSC: 15A60 15A42 PDFBibTeX XMLCite \textit{H. K. Wimmer}, Linear Algebra Appl. 71, 339--340 (1985; Zbl 0578.15020) Full Text: DOI
Wimmer, Harald K. Straight bases of finite Abelian groups and a Jordan factorization theorem for integer matrices. (English) Zbl 0578.15009 Linear algebra and its role in systems theory, Proc. AMS-IMS-SIAM Conf., Brunswick/Maine 1984, Contemp. Math. 47, 491-496 (1985). Reviewer: J.D.Dixon MSC: 15B36 15A23 20K01 15A24 PDFBibTeX XML
Pták, Vlastimil; Wimmer, Harald K. On the Bézoutian for polynomial matrices. (English) Zbl 0577.15017 Linear Algebra Appl. 71, 267-272 (1985). Reviewer: Witold Więsław (Wrocław) MSC: 15A54 15A24 PDFBibTeX XMLCite \textit{V. Pták} and \textit{H. K. Wimmer}, Linear Algebra Appl. 71, 267--272 (1985; Zbl 0577.15017) Full Text: DOI
Wimmer, Harald K. On a weighted mean inequality for nonnegative symmetric matrices. (English) Zbl 0556.15012 Linear Multilinear Algebra 17, 25-27 (1985). Reviewer: D.Voukalis MSC: 15A45 15B48 92D25 PDFBibTeX XMLCite \textit{H. K. Wimmer}, Linear Multilinear Algebra 17, 25--27 (1985; Zbl 0556.15012) Full Text: DOI
Wimmer, Harald K. The algebraic Riccati equation: Conditions for the existence and uniqueness of solutions. (English) Zbl 0549.15008 Linear Algebra Appl. 58, 441-452 (1984). Reviewer: F.Ribière-Michaud MSC: 15A24 49J15 93C15 PDFBibTeX XMLCite \textit{H. K. Wimmer}, Linear Algebra Appl. 58, 441--452 (1984; Zbl 0549.15008) Full Text: DOI
Wimmer, Harald K. On the dimension of bi-infinite systems. (English) Zbl 0531.15006 SIAM J. Algebraic Discrete Methods 5, 9-10 (1984). Reviewer: D.Braess MSC: 15A18 PDFBibTeX XMLCite \textit{H. K. Wimmer}, SIAM J. Algebraic Discrete Methods 5, 9--10 (1984; Zbl 0531.15006) Full Text: DOI
Wimmer, Harald K. On Ostrowski’s generalization of Sylvester’s law of inertia. (English) Zbl 0539.15007 Linear Algebra Appl. 52-53, 739-741 (1983). Reviewer: F.Ribière-Michaud MSC: 15A42 PDFBibTeX XMLCite \textit{H. K. Wimmer}, Linear Algebra Appl. 52--53, 739--741 (1983; Zbl 0539.15007) Full Text: DOI
Wimmer, Harald K. Hermitian polynomial matrices, isometries and inertial signs. (English) Zbl 0514.15015 Syst. Control Lett. 2, 301-306 (1983). MSC: 15A54 15B57 15A23 15A09 15A63 PDFBibTeX XMLCite \textit{H. K. Wimmer}, Syst. Control Lett. 2, 301--306 (1983; Zbl 0514.15015) Full Text: DOI
Wimmer, Harald K. Indefinite inner-product spaces associated with Hermitian polynomial matrices. (English) Zbl 0507.15018 Linear Algebra Appl. 50, 609-619 (1983). MSC: 15A60 15B57 46C20 PDFBibTeX XMLCite \textit{H. K. Wimmer}, Linear Algebra Appl. 50, 609--619 (1983; Zbl 0507.15018) Full Text: DOI
Wimmer, H. K. The algebraic Riccati equation without complete controllability. (English) Zbl 0524.15009 SIAM J. Algebraic Discrete Methods 3, 1-12 (1982). MSC: 15A24 49J15 93B05 PDFBibTeX XMLCite \textit{H. K. Wimmer}, SIAM J. Algebraic Discrete Methods 3, 1--12 (1982; Zbl 0524.15009) Full Text: DOI
Wimmer, Harald K. Polynomial matrices and dualities. (English) Zbl 0477.93020 Syst. Control Lett. 1, 200-203 (1981). MSC: 93B25 15A23 15A54 93B20 PDFBibTeX XMLCite \textit{H. K. Wimmer}, Syst. Control Lett. 1, 200--203 (1981; Zbl 0477.93020) Full Text: DOI
Wimmer, Harald K. The structure of nonsingular polynomial matrices. (English) Zbl 0474.15007 Math. Syst. Theory 14, 367-379 (1981). MSC: 15A54 PDFBibTeX XMLCite \textit{H. K. Wimmer}, Math. Syst. Theory 14, 367--379 (1981; Zbl 0474.15007) Full Text: DOI
Wimmer, H. K. A Jordan factorization theorem for polynomial matrices. (English) Zbl 0421.15012 Proc. Am. Math. Soc. 75, 201-206 (1979). MSC: 15A21 15A18 15A54 93B99 PDFBibTeX XMLCite \textit{H. K. Wimmer}, Proc. Am. Math. Soc. 75, 201--206 (1979; Zbl 0421.15012) Full Text: DOI
Wimmer, Harald K. Jordan-Ketten und Realisierungen rationaler Matrizen. (German) Zbl 0401.15009 Linear Algebra Appl. 20, 101-110 (1978). MSC: 15A21 15A24 PDFBibTeX XMLCite \textit{H. K. Wimmer}, Linear Algebra Appl. 20, 101--110 (1978; Zbl 0401.15009) Full Text: DOI
Flanders, Harley; Wimmer, Harald K. On the matrix equations AX-XB=C and AX-YB=C. (English) Zbl 0385.15008 SIAM J. Appl. Math. 32, 707-710 (1977). MSC: 15A24 PDFBibTeX XMLCite \textit{H. Flanders} and \textit{H. K. Wimmer}, SIAM J. Appl. Math. 32, 707--710 (1977; Zbl 0385.15008) Full Text: DOI
Wimmer, H. Über Matrizen rationaler Funktionen. (German) Zbl 0352.15006 Ber. Math.-Stat. Sekt. Forschungszent. Graz 64, 99-105 (1976). MSC: 15A09 PDFBibTeX XML
Wimmer, Harald K. On the algebraic Riccati equation. (English) Zbl 0344.15007 Bull. Aust. Math. Soc. 14, 457-461 (1976). MSC: 15A18 15A24 93D05 PDFBibTeX XMLCite \textit{H. K. Wimmer}, Bull. Aust. Math. Soc. 14, 457--461 (1976; Zbl 0344.15007) Full Text: DOI
Wimmer, Harald K.; Ziebur, Allen D. Remarks on inertia theorems for matrices. (English) Zbl 0344.15008 Czech. Math. J. 25(100), 556-561 (1975). MSC: 15A18 15A24 93D05 PDFBibTeX XMLCite \textit{H. K. Wimmer} and \textit{A. D. Ziebur}, Czech. Math. J. 25(100), 556--561 (1975; Zbl 0344.15008) Full Text: EuDML
Wimmer, Harald K. Generalizations of theorems of Lyapunov and Stein. (English) Zbl 0307.15002 Linear Algebra Appl. 10, 139-146 (1975). MSC: 15A24 15A18 15A42 15A60 PDFBibTeX XMLCite \textit{H. K. Wimmer}, Linear Algebra Appl. 10, 139--146 (1975; Zbl 0307.15002) Full Text: DOI
Lancaster, Peter; Wimmer, Harald K. Zur Theorie der \(\lambda\)-Matrizen. (German) Zbl 0278.15004 Math. Nachr. 68, 325-330 (1975). MSC: 15A18 15A24 34A30 PDFBibTeX XMLCite \textit{P. Lancaster} and \textit{H. K. Wimmer}, Math. Nachr. 68, 325--330 (1975; Zbl 0278.15004) Full Text: DOI
Wimmer, Harald K.; Ziebur, Allen D. Blockmatrizen und lineare Matrizengleichungen. (German) Zbl 0327.15017 Math. Nachr. 59, 213-219 (1974). MSC: 15A24 15A18 PDFBibTeX XMLCite \textit{H. K. Wimmer} and \textit{A. D. Ziebur}, Math. Nachr. 59, 213--219 (1974; Zbl 0327.15017) Full Text: DOI
Wimmer, Harald K. Spektralradius und Spektralnorm. (German) Zbl 0312.15007 Czech. Math. J. 24(99), 501-502 (1974). MSC: 15A42 15A60 PDFBibTeX XMLCite \textit{H. K. Wimmer}, Czech. Math. J. 24(99), 501--502 (1974; Zbl 0312.15007) Full Text: EuDML
Wimmer, H. Trägheitssätze für Matrizen, Steuerbarkeit und lineare Schwingungen. (German) Zbl 0312.15004 Z. angew. Math. Mech. 54, Sonderheft, T205 (1974). MSC: 15A18 15A24 70J10 93B99 PDFBibTeX XMLCite \textit{H. Wimmer}, Z. Angew. Math. Mech. 54, T205 (1974; Zbl 0312.15004) Full Text: DOI
Wimmer, Harald K. An inertia theorem for tridiagonal matrices and a criterion of Wall on continued fractions. (English) Zbl 0294.15009 Linear Algebra Appl. 9, 41-44 (1974). MSC: 15A18 15B57 30C15 30B70 PDFBibTeX XMLCite \textit{H. K. Wimmer}, Linear Algebra Appl. 9, 41--44 (1974; Zbl 0294.15009) Full Text: DOI
Wimmer, H. K. Spectral radius and radius of convergence. (English) Zbl 0291.15021 Am. Math. Mon. 81, 625-627 (1974). MSC: 15A60 15A18 PDFBibTeX XMLCite \textit{H. K. Wimmer}, Am. Math. Mon. 81, 625--627 (1974; Zbl 0291.15021) Full Text: DOI
Wimmer, Harald K. Inertia theorems for matrices, controllability, and linear vibrations. (English) Zbl 0288.15015 Linear Algebra Appl. 8, 337-343 (1974). MSC: 15A18 15A24 93B99 70J10 PDFBibTeX XMLCite \textit{H. K. Wimmer}, Linear Algebra Appl. 8, 337--343 (1974; Zbl 0288.15015) Full Text: DOI
Wimmer, Harald K. Existenzsätze in der Theorie der Matrizen und lineare Kontrolltheorie. (German) Zbl 0288.15014 Monatsh. Math. 78, 256-263 (1974). MSC: 15A18 93B99 PDFBibTeX XMLCite \textit{H. K. Wimmer}, Monatsh. Math. 78, 256--263 (1974; Zbl 0288.15014) Full Text: DOI EuDML
Flanders, Harley; Wimmer, Harald K. Positive operators and a problem in control theory. (English) Zbl 0277.93008 Linear Algebra Appl. 8, 39-42 (1974). MSC: 93C25 93D99 15A24 PDFBibTeX XMLCite \textit{H. Flanders} and \textit{H. K. Wimmer}, Linear Algebra Appl. 8, 39--42 (1974; Zbl 0277.93008) Full Text: DOI
Wimmer, H. K. On the Ostrowski-Schneider inertia theorem. (English) Zbl 0251.15011 J. Math. Anal. Appl. 41, 164-169 (1973). MSC: 15A18 15B57 PDFBibTeX XMLCite \textit{H. K. Wimmer}, J. Math. Anal. Appl. 41, 164--169 (1973; Zbl 0251.15011) Full Text: DOI
Wimmer, Harald K. Über Matrizen mit semidefinitem Realteil. (German) Zbl 0246.15025 Monatsh. Math. 76, 276-281 (1972). MSC: 15B57 15A18 PDFBibTeX XMLCite \textit{H. K. Wimmer}, Monatsh. Math. 76, 276--281 (1972; Zbl 0246.15025) Full Text: DOI EuDML
Wimmer, Harald; Ziebur, Allen D. Solving the matrix equation \(\sum \limits _{\rho=1} ^r f_\rho (A)Xg_\rho(B)=C\). (English) Zbl 0244.15006 SIAM Rev. 14, 318-323 (1972). MSC: 15A24 PDFBibTeX XMLCite \textit{H. Wimmer} and \textit{A. D. Ziebur}, SIAM Rev. 14, 318--323 (1972; Zbl 0244.15006) Full Text: DOI
Wimmer, Harald; Ziebur, Allen D. Die Lösung der Matrizengleichung X-AXB = C durch Integration. (German) Zbl 0243.15010 Elem. Math. 27, 60-61 (1972). MSC: 15A24 15A42 PDFBibTeX XMLCite \textit{H. Wimmer} and \textit{A. D. Ziebur}, Elem. Math. 27, 60--61 (1972; Zbl 0243.15010) Full Text: EuDML