Alpay, Daniel; Cho, Ilwoo; Vajiac, Mihaela Scaled global operators and Fueter variables on non-zero scaled hypercomplex numbers. (English) Zbl 07946687 Adv. Appl. Clifford Algebr. 34, No. 5, Paper No. 53, 61 p. (2024). MSC: 30G35 46E22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alpay, Daniel; Cho, Ilwoo Schur analysis over the unit spectral ball. (English) Zbl 07901468 Linear Algebra Appl. 698, 344-405 (2024). MSC: 46E22 47B32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Khovanov, Mikhail Decorated one-dimensional cobordisms and tensor envelopes of noncommutative recognizable power series. (English) Zbl 1541.18023 J. Pure Appl. Algebra 228, No. 11, Article ID 107689, 29 p. (2024). Reviewer: Mee Seong Im (Annapolis) MSC: 18M05 18M30 57K16 16W60 15A63 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alpay, Daniel; Colombo, Fabrizio; De Martino, Antonino; Diki, Kamal; Sabadini, Irene On axially rational regular functions and Schur analysis in the Clifford-Appell setting. (English) Zbl 07849835 Anal. Math. Phys. 14, No. 3, Paper No. 41, 59 p. (2024). Reviewer: Adhemar Bultheel (Leuven) MSC: 47B32 47S10 30G35 × Cite Format Result Cite Review PDF Full Text: DOI
Jin, Ming; Leong, Ieng Tak; Qian, Tao; Ren, Guangbin Adaptive Fourier decomposition of slice regular functions. (English) Zbl 1508.30091 Adv. Appl. Clifford Algebr. 33, No. 1, Paper No. 8, 20 p. (2023). MSC: 30G35 15A66 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Porat, Motke; Vinnikov, Victor Realizations of non-commutative rational functions around a matrix centre. II: The lost-abbey conditions. (English) Zbl 1521.16014 Integral Equations Oper. Theory 95, No. 1, Paper No. 1, 58 p. (2023). Reviewer: Wen-Fong Ke (Tainan) MSC: 16K40 47A56 93C35 16R50 46L54 90C22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Balle, Borja; Rabusseau, Guillaume Approximate minimization of weighted tree automata. (English) Zbl 1485.68133 Inf. Comput. 282, Article ID 104654, 24 p. (2022). MSC: 68Q45 × Cite Format Result Cite Review PDF Full Text: DOI
Balle, Borja; Gourdeau, Pascale; Panangaden, Prakash Bisimulation metrics and norms for real-weighted automata. (English) Zbl 1483.68154 Inf. Comput. 282, Article ID 104649, 19 p. (2022). MSC: 68Q45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kiefer, Stefan; Widdershoven, Cas Image-binary automata. (English) Zbl 07614751 Han, Yo-Sub (ed.) et al., Descriptional complexity of formal systems. 23rd IFIP WG 1.02 international conference, DCFS 2021, virtual event, September 5, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13037, 176-187 (2021). MSC: 68Qxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Droste, Manfred; Kuske, Dietrich Weighted automata. (English) Zbl 1508.68189 Pin, Jean-Éric (ed.), Handbook of automata theory. Volume I. Theoretical foundations. Berlin: European Mathematical Society (EMS). 113-150 (2021). MSC: 68Q45 × Cite Format Result Cite Review PDF Full Text: DOI
Porat, Motke; Vinnikov, Victor Realizations of non-commutative rational functions around a matrix centre. I: synthesis, minimal realizations and evaluation on stably finite algebras. (English) Zbl 1494.16017 J. Lond. Math. Soc., II. Ser. 104, No. 3, 1250-1299 (2021). Reviewer: Adam Chapman (Tel Hai) MSC: 16K40 47A56 93C35 16R50 46L54 90C22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fijalkow, Nathanaël; Lagarde, Guillaume; Ohlmann, Pierre; Serre, Olivier Lower bounds for arithmetic circuits via the Hankel matrix. (English) Zbl 1519.68079 Comput. Complexity 30, No. 2, Paper No. 14, 60 p. (2021). MSC: 68Q06 68Q17 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Stefan, Anthony; Welters, Aaron Extension of the Bessmertnyĭ realization theorem for rational functions of several complex variables. (English) Zbl 07422102 Complex Anal. Oper. Theory 15, No. 7, Paper No. 115, 74 p. (2021). MSC: 47-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alpay, Daniel; Colombo, Fabrizio; Diki, Kamal; Sabadini, Irene On a polyanalytic approach to noncommutative de Branges-Rovnyak spaces and Schur analysis. (English) Zbl 1475.30111 Integral Equations Oper. Theory 93, No. 4, Paper No. 38, 63 p. (2021). MSC: 30G35 47B32 47S05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kaznatcheev, Artem; Panangaden, Prakash Weighted automata are compact and actively learnable. (English) Zbl 1516.68046 Inf. Process. Lett. 171, Article ID 106133, 7 p. (2021). MSC: 68Q45 68Q11 68Q32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Helton, J. William; Klep, Igor; McCullough, Scott; Volčič, Jurij Noncommutative polynomials describing convex sets. (English) Zbl 1471.14120 Found. Comput. Math. 21, No. 2, 575-611 (2021). Reviewer: Tobias Fritz (Innsbruck) MSC: 14P10 15A22 52A05 16W10 16K40 90C22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Angluin, Dana; Fisman, Dana Regular \(\omega\)-languages with an informative right congruence. (English) Zbl 1497.68247 Inf. Comput. 278, Article ID 104598, 17 p. (2021). MSC: 68Q45 × Cite Format Result Cite Review PDF Full Text: DOI
van Heerdt, Gerco; Kupke, Clemens; Rot, Jurriaan; Silva, Alexandra Learning weighted automata over principal ideal domains. (English) Zbl 1461.68093 Goubault-Larrecq, Jean (ed.) et al., Foundations of software science and computation structures. 23rd international conference, FOSSACS 2020, held as part of the European joint conferences on theory and practice of software, ETAPS 2020, Dublin, Ireland, April 25–30, 2020. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12077, 602-621 (2020). Reviewer: Andreas Maletti (Leipzig) MSC: 68Q32 68Q45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Benahmadi, A.; El Hamyani, A.; Ghanmi, A. S-polyregular Bargmann spaces. (English) Zbl 1427.30073 Adv. Appl. Clifford Algebr. 29, No. 4, Paper No. 84, 30 p. (2019). MSC: 30G35 15A66 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lagarde, Guillaume; Malod, Guillaume; Perifel, Sylvain Non-commutative computations: lower bounds and polynomial identity testing. (English) Zbl 1422.68070 Chic. J. Theor. Comput. Sci. 2019, Article No. 2, 19 p. (2019). MSC: 68Q05 68Q10 68Q17 68Q25 × Cite Format Result Cite Review PDF Full Text: DOI
Schrempf, Konrad On the factorization of non-commutative polynomials (in free associative algebras). (English) Zbl 1426.16025 J. Symb. Comput. 94, 126-148 (2019). MSC: 16S36 68W30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Angluin, Dana; Fisman, Dana Regular \(\omega\)-languages with an informative right congruence. (English) Zbl 1528.68169 Orlandini, Andrea (ed.) et al., Proceedings of the ninth international symposium on games, automata, logics, and formal verification, GandALF 2018, Saarbrücken, Germany, September 26–28, 2018. Waterloo: Open Publishing Association (OPA). Electron. Proc. Theor. Comput. Sci. (EPTCS) 277, 265-279 (2018). MSC: 68Q45 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Dando, Louis-Marie; Lombardy, Sylvain On Hadamard series and rotating \(\mathbb{Q}\)-automata. (English) Zbl 1510.68033 Potapov, Igor (ed.) et al., 43rd international symposium on mathematical foundations of computer science. MFCS 2018, Liverpool, United Kingdom, August 27–31, 2018. Proceedings. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 117, Article 6, 14 p. (2018). MSC: 68Q45 × Cite Format Result Cite Review PDF Full Text: DOI
Schrempf, Konrad Linearizing the word problem in (some) free fields. (English) Zbl 1400.16010 Int. J. Algebra Comput. 28, No. 7, 1209-1230 (2018). MSC: 16K40 03B25 16S10 15A22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Abu-Ghanem, Khaled; Alpay, Daniel; Colombo, Fabrizio; Lewkowicz, Izchak; Sabadini, Irene Herglotz functions of several quaternionic variables. (English) Zbl 1393.30037 J. Math. Anal. Appl. 466, No. 1, 169-182 (2018). MSC: 30G35 × Cite Format Result Cite Review PDF Full Text: DOI Link
Fisman, Dana Inferring regular languages and \(\omega\)-languages. (English) Zbl 1394.68211 J. Log. Algebr. Methods Program. 98, 27-49 (2018). MSC: 68Q45 68Q32 × Cite Format Result Cite Review PDF Full Text: DOI
Balle, Borja; Mohri, Mehryar Generalization bounds for learning weighted automata. (English) Zbl 1388.68148 Theor. Comput. Sci. 716, 89-106 (2018). MSC: 68Q32 68Q45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Volčič, Jurij Matrix coefficient realization theory of noncommutative rational functions. (English) Zbl 1441.16030 J. Algebra 499, 397-437 (2018). MSC: 16S85 47A56 16R50 93B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Helton, J. William; Mai, Tobias; Speicher, Roland Applications of realizations (aka linearizations) to free probability. (English) Zbl 1376.81026 J. Funct. Anal. 274, No. 1, 1-79 (2018). MSC: 81Q12 47J10 60B20 46L10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Duchamp, G. H. E.; Minh, V. Hoang Ngoc; Ngo Quoc Hoan; Penson, K.; Simonnet, P. Mathematical renormalization in quantum electrodynamics via noncommutative generating series. (English) Zbl 1386.81144 Kotsireas, Ilias S. (ed.) et al., Applications of computer algebra, Kalamata, Greece, July 20–23, 2015. Cham: Springer (ISBN 978-3-319-56930-7/hbk; 978-3-319-56932-1/ebook). Springer Proceedings in Mathematics & Statistics 198, 59-100 (2017). MSC: 81V10 81T15 11G55 05A15 13P05 17B81 78A60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lombardy, Sylvain Two-way representations and weighted automata. (English) Zbl 1362.68150 RAIRO, Theor. Inform. Appl. 50, No. 4, 331-350 (2016). MSC: 68Q45 68Q70 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Alpay, Daniel; Colombo, Fabrizio; Kimsey, David P.; Sabadini, Irene Wiener algebra for the quaternions. (English) Zbl 1377.46034 Mediterr. J. Math. 13, No. 5, 2463-2482 (2016). Reviewer: Brett Wick (St. Louis) MSC: 46J15 47A68 47B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Balle, Borja; Mohri, Mehryar On the Rademacher complexity of weighted automata. (English) Zbl 1388.68147 Chaudhuri, Kamalika (ed.) et al., Algorithmic learning theory. 26th international conference, ALT 2015, Banff, AB, Canada, October 4–6, 2015. Proceedings. Cham: Springer (ISBN 978-3-319-24485-3/pbk; 978-3-319-24486-0/ebook). Lecture Notes in Computer Science 9355. Lecture Notes in Artificial Intelligence, 179-193 (2015). MSC: 68Q32 68Q45 × Cite Format Result Cite Review PDF Full Text: DOI
Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene Schur analysis in the quaternionic setting: the Fueter regular and the slice regular case. (English) Zbl 1337.47015 Alpay, Daniel (ed.), Operator theory. With 51 figures and 2 tables. In 2 volumes. Basel: Springer (ISBN 978-3-0348-0666-4/print; 978-3-0348-0667-1/ebook; 978-3-0348-0668-8/print+ebook; 978-3-0348-0692-3/online (updated continuously)). Springer Reference, 1745-1786 (2015). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 47A48 30G35 47-02 47A57 × Cite Format Result Cite Review PDF Full Text: DOI Link
Balle, Borja; Mohri, Mehryar Learning weighted automata. (English) Zbl 1401.68144 Maletti, Andreas (ed.), Algebraic informatics. 6th international conference, CAI 2015, Stuttgart, Germany, September 1–4, 2015. Proceedings. Cham: Springer (ISBN 978-3-319-23020-7/pbk; 978-3-319-23021-4/ebook). Lecture Notes in Computer Science 9270, 1-21 (2015). MSC: 68Q45 68Q32 68Q70 × Cite Format Result Cite Review PDF Full Text: DOI
Balle, Borja; Carreras, Xavier; Luque, Franco M.; Quattoni, Ariadna Spectral learning of weighted automata. A forward-backward perspective. (English) Zbl 1317.68088 Mach. Learn. 96, No. 1-2, 33-63 (2014). MSC: 68Q45 68Q32 × Cite Format Result Cite Review PDF Full Text: DOI
Alpay, Daniel; Jorgensen, Palle; Salomon, Guy On free stochastic processes and their derivatives. (English) Zbl 1296.60181 Stochastic Processes Appl. 124, No. 10, 3392-3411 (2014). MSC: 60H40 93B07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Alpay, Daniel; Salomon, Guy Non-commutative stochastic distributions and applications to linear systems theory. (English) Zbl 1306.46046 Stochastic Processes Appl. 123, No. 6, 2303-2322 (2013). MSC: 46F30 93E03 60H40 46L53 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hoang Ngoc Minh, V. On a conjecture by Pierre Cartier about a group of associators. (English) Zbl 1283.11122 Acta Math. Vietnam. 38, No. 3, 339-398 (2013). MSC: 11M32 05E15 12H05 17B01 33B15 37F25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Kaliuzhnyi-Verbovetskyi, Dmitry S.; Vinnikov, Victor Noncommutative rational functions, their difference-differential calculus and realizations. (English) Zbl 1255.93073 Multidimensional Syst. Signal Process. 23, No. 1-2, 49-77 (2012). MSC: 93C35 93B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hsu, Daniel; Kakade, Sham M.; Zhang, Tong A spectral algorithm for learning hidden Markov models. (English) Zbl 1244.68065 J. Comput. Syst. Sci. 78, No. 5, 1460-1480 (2012). MSC: 68T05 68W40 × Cite Format Result Cite Review PDF Full Text: DOI
Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene Schur functions and their realizations in the slice hyperholomorphic setting. (English) Zbl 1258.47018 Integral Equations Oper. Theory 72, No. 2, 253-289 (2012). Reviewer: Florian-Horia Vasilescu (Villeneuve d’Ascq) MSC: 47A48 30G35 46E22 93B28 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Petreczky, Mihály Realization theory for linear and bilinear switched systems: a formal power series approach. I: Realization theory of linear switched systems. (English) Zbl 1233.93020 ESAIM, Control Optim. Calc. Var. 17, No. 2, 410-445 (2011). MSC: 93B15 93B20 93B25 93C99 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Sakarovitch, Jacques Rational and recognisable power series. (English) Zbl 1484.68110 Droste, Manfred (ed.) et al., Handbook of weighted automata. Berlin: Springer. Monogr. Theoret. Comput. Sci., EATCS Ser., 105-174 (2009). MSC: 68Q70 × Cite Format Result Cite Review PDF Full Text: DOI
Vuillemin, Jean; Gama, Nicolas Compact normal form for regular languages as XOR automata. (English) Zbl 1248.68314 Maneth, Sebastian (ed.), Implementation and application of automata. 14th international conference, CIAA 2009, Sydney, Australia, July 14–17, 2009. Proceedings. Berlin: Springer (ISBN 978-3-642-02978-3/pbk). Lecture Notes in Computer Science 5642, 24-33 (2009). MSC: 68Q45 × Cite Format Result Cite Review PDF Full Text: DOI
Kaliuzhnyi-Verbovetskyi, Dmitry S.; Vinnikov, Victor Singularities of rational functions and minimal factorizations: the noncommutative and the commutative setting. (English) Zbl 1217.47032 Linear Algebra Appl. 430, No. 4, 869-889 (2009). MSC: 47A56 47N70 93B20 93B55 × Cite Format Result Cite Review PDF Full Text: DOI
Oncina, Jose Using multiplicity automata to identify transducer relations from membership and equivalence queries. (English) Zbl 1177.68121 Clark, Alexander (ed.) et al., Grammatical inference: Algorithms and applications. 9th international colloquium, ICGI 2008, Saint-Malo, France, September 22–24, 2008. Proceedings. Berlin: Springer (ISBN 978-3-540-88008-0/pbk). Lecture Notes in Computer Science 5278. Lecture Notes in Artificial Intelligence, 154-162 (2008). MSC: 68Q32 68Q42 68Q45 × Cite Format Result Cite Review PDF Full Text: DOI
Petreczky, Mihály; Vidal, René Realization theory for discrete-time semi-algebraic hybrid systems. (English) Zbl 1144.93304 Egerstedt, Magnus (ed.) et al., Hybrid systems: Computation and control. 11th international workshop, HSCC 2008, St. Louis, MO, USA, April 22–24, 2008. Proceedings. Berlin: Springer (ISBN 978-3-540-78928-4/pbk). Lecture Notes in Computer Science 4981, 386-400 (2008). MSC: 93B15 93B25 93C30 93C55 × Cite Format Result Cite Review PDF Full Text: DOI
Berstel, Jean; Reutenauer, Christophe Extension of Brzozowski’s derivation calculus of rational expressions to series over the free partially commutative monoids. (English) Zbl 1145.68030 Theor. Comput. Sci. 400, No. 1-3, 144-158 (2008). MSC: 68Q45 68Q70 × Cite Format Result Cite Review PDF Full Text: DOI
Helton, J. William; McCullough, Scott A.; Vinnikov, Victor Noncommutative convexity arises from linear matrix inequalities. (English) Zbl 1135.47005 J. Funct. Anal. 240, No. 1, 105-191 (2006). Reviewer: Frank Hansen (Copenhagen) MSC: 47A13 14P10 15B48 47A56 15A39 93B25 × Cite Format Result Cite Review PDF Full Text: DOI
Gray, W. Steven; Scherpen, Jacquelien M. A. Hankel singular value functions from Schmidt pairs for nonlinear input-output systems. (English) Zbl 1129.93345 Syst. Control Lett. 54, No. 2, 135-144 (2005). MSC: 93B15 93C10 × Cite Format Result Cite Review PDF Full Text: DOI
Alpay, Daniel; Kaliuzhnyi-Verbovetzkyi, Dmitry S. On the intersection of null spaces for matrix substitutions in a non-commutative rational formal power series. (English. Abridged French version) Zbl 1100.47011 C. R., Math., Acad. Sci. Paris 339, No. 8, 533-538 (2004). MSC: 47A57 30G35 15A24 × Cite Format Result Cite Review PDF Full Text: DOI Link
Michaelis, Walter Coassociative coalgebras. (English) Zbl 1078.16046 Hazewinkel, M. (ed.), Handbook of algebra. Volume 3. Amsterdam: Elsevier (ISBN 0-444-51264-0/hbk). 587-788 (2003). Reviewer: Earl J. Taft (New Brunswick) MSC: 16W30 16-02 00A20 × Cite Format Result Cite Review PDF
Kirsten, Daniel; Marcinkowski, Jerzy Two techniques in the area of the star problem in trace monoids. (English) Zbl 1106.68371 Theor. Comput. Sci. 309, No. 1-3, 381-412 (2003). MSC: 68Q45 20M35 68Q85 × Cite Format Result Cite Review PDF Full Text: DOI
Hazewinkel, Michiel Cofree coalgebras and multivariable recursiveness. (English) Zbl 1048.16022 J. Pure Appl. Algebra 183, No. 1-3, 61-103 (2003). Reviewer: Serban Raianu (Carson) MSC: 16W30 × Cite Format Result Cite Review PDF Full Text: DOI
Kirsten, Daniel The star problem and the finite power property in trace monoids: Reductions beyond C4. (English) Zbl 1012.68098 Inf. Comput. 176, No. 1, 22-36 (2002). MSC: 68Q45 20M35 03B25 × Cite Format Result Cite Review PDF Full Text: DOI
Duchamp, G.; Flouret, M.; Laugerotte, E.; Luque, J.-G. Direct and dual laws for automata with multiplicities. (English) Zbl 0984.68098 Theor. Comput. Sci. 267, No. 1-2, 105-120 (2001). MSC: 68Q45 × Cite Format Result Cite Review PDF Full Text: DOI
Droste, Manfred; Gastin, Paul The Kleene-Schützenberger theorem for formal power series in partially commuting variables. (English) Zbl 1045.68589 Inf. Comput. 153, No. 1, 47-80 (1999). MSC: 68Q70 16Y60 × Cite Format Result Cite Review PDF Full Text: DOI
Droste, Manfred; Gastin, Paul On recognizable and rational formal power series in partially commuting variables. (English) Zbl 1401.68215 Degano, Pierpaolo (ed.) et al., Automata, languages and programming. 24th international colloquium, ICALP ’97, Bologna, Italy, July 7–11, 1997. Proceedings. Berlin: Springer-Verlag (ISBN 978-3-540-63165-1/pbk; 978-3-540-69194-5/ebook). Lecture Notes in Computer Science 1256, 682-692 (1997). MSC: 68Q70 × Cite Format Result Cite Review PDF Full Text: DOI
Flouret, M.; Laugerotte, E. Noncommutative minimization algorithms. (English) Zbl 1337.68173 Inf. Process. Lett. 64, No. 3, 123-126 (1997). MSC: 68Q70 × Cite Format Result Cite Review PDF Full Text: DOI
Duchamp, Gérard; Reutenauer, Christophe A rationality criterion coming from noncommutative geometry. (Un critère de rationalité provenant de la géométrie non commutative.) (French) Zbl 0870.68093 Invent. Math. 128, No. 3, 613-622 (1997). MSC: 68Q45 46L99 17B99 × Cite Format Result Cite Review PDF Full Text: DOI
Reutenauer, Christophe \(\mathbb{N}\)-rationality of zeta functions. (English) Zbl 0876.68068 Adv. Appl. Math. 18, No. 1, 1-17 (1997). MSC: 68Q45 × Cite Format Result Cite Review PDF Full Text: DOI
Reutenauer, C. Inversion height in free fields. (English) Zbl 0857.16021 Sel. Math., New Ser. 2, No. 1, 93-109 (1996). Reviewer: P.M.Cohn (London) MSC: 16K40 16S10 16S90 16W60 15A09 × Cite Format Result Cite Review PDF Full Text: DOI
Vakhrameev, S. A. Geometrical and topological methods in optimal control theory. (English) Zbl 0846.93016 J. Math. Sci., New York 76, No. 5, 2555-2719 (1995). Reviewer: S.Mirica (Bucureşti) MSC: 93B29 93-02 49K15 × Cite Format Result Cite Review PDF Full Text: DOI
Taft, Earl J. Hadamard invertibility of linearly recursive sequences in several variables. (English) Zbl 0824.11007 Discrete Math. 139, No. 1-3, 393-397 (1995). MSC: 11B37 16W30 × Cite Format Result Cite Review PDF Full Text: DOI
Métivier, Yves; Richomme, Gwénaël; Wacrenier, Pierre-André Computing the closure of sets of words under partial commutations. (English) Zbl 1412.68133 Fülöp, Zoltán (ed.) et al., Automata, languages and programming. 22nd international colloquium, ICALP ’95, Szeged, Hungary, July 10–14, 1995. Proceedings. Berlin: Springer-Verlag. Lect. Notes Comput. Sci. 944, 75-86 (1995). MSC: 68Q45 68Q70 × Cite Format Result Cite Review PDF Full Text: DOI
Richomme, Gwénaël Some trace monoids where both the star problem and the finite power property problem are decidable (extended abstract). (English) Zbl 1496.20089 Privara, Igor (ed.) et al., Mathematical foundations of computer science 1994. 19th international symposium, MFCS ’94, Košice, Slovakia, August 22–26, 1994. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 841, 577-586 (1994). MSC: 20M05 20M35 68Q45 × Cite Format Result Cite Review PDF Full Text: DOI
Gastin, Paul; Petit, Antoine; Zielonka, Wiesław An extension of Kleene’s and Ochmański’s theorems to infinite traces. (English) Zbl 0795.68116 Theor. Comput. Sci. 125, No. 2, 167-204 (1994). MSC: 68Q45 68Q10 20M35 68Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Gastin, Paul; Ochmanski, Edward; Petit, Antoine; Rozoy, Brigitte Decidability of the star problem in \(A^*\times{}\{ b\}^*\). (English) Zbl 0759.68050 Inf. Process. Lett. 44, No. 2, 65-71 (1992). Reviewer: A.V.Anisimov (Kiev) MSC: 68Q45 × Cite Format Result Cite Review PDF Full Text: DOI
Lacaze, Jacqueline Recognizable subsets of monoids defined by generators and relations. (Parties reconnaissables de monoïdes définis par générateurs et relations.) (French) Zbl 0784.68050 RAIRO, Inform. Théor. Appl. 26, No. 6, 541-552 (1992). MSC: 68Q45 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Hespel, Christiane; Jacob, Gérard Approximation of nonlinear dynamic systems by rational series. (English) Zbl 0723.93030 Theor. Comput. Sci. 79, No. 1, 151-162 (1991). Reviewer: Ge Weigao (Beijing) MSC: 93C10 × Cite Format Result Cite Review PDF Full Text: DOI
Oussous, N. E. Computation, on Macsyma, of the minimal differential representation of noncommutative polynomials. (English) Zbl 0722.68069 Theor. Comput. Sci. 79, No. 1, 195-207 (1991). Reviewer: D.Lucanu (Iaşi) MSC: 68W30 17B01 17-08 × Cite Format Result Cite Review PDF Full Text: DOI
Aalbersberg, Ijsbrand Jan; Rozenberg, Grzegorz Theory of traces. (English) Zbl 0652.68017 Theor. Comput. Sci. 60, No. 1, 1-82 (1988). Reviewer: H.Müller MSC: 68Q60 68Q85 68Q65 × Cite Format Result Cite Review PDF Full Text: DOI
Sontag, Eduardo D. A remark on bilinear systems and moduli spaces of instantons. (English) Zbl 0646.93015 Syst. Control Lett. 9, 361-367 (1987). Reviewer: R.Bianchini MSC: 93B25 16W60 93C10 14L17 15A72 16Gxx 93B20 81T08 × Cite Format Result Cite Review PDF Full Text: DOI
Aalbersberg, Ijsbrand Jan; Welzl, Emo Trace languages defined by regular string languages. (English) Zbl 0612.68071 RAIRO, Inf. Théor. Appl. 20, 103-119 (1986). MSC: 68Q45 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Hespel, Christiane Approximation de séries formelles par des séries rationnelles. (French) Zbl 0549.68052 RAIRO, Inf. Théor. 18, 241-258 (1984). Reviewer: C.Reutenauer MSC: 68Q70 16S10 × Cite Format Result Cite Review PDF Full Text: EuDML
Bozapalidis, Symeon; Louscou-Bozapalidou, Olympia The rank of a formal tree power series. (English) Zbl 0537.68053 Theor. Comput. Sci. 27, 211-215 (1983). Reviewer: Ch.Reutenauer MSC: 68Q70 17A50 × Cite Format Result Cite Review PDF Full Text: DOI
Reutenauer, Christophe Cyclic derivation of noncommutative algebraic power series. (English) Zbl 0523.16025 J. Algebra 85, 32-39 (1983). MSC: 16W20 16W60 × Cite Format Result Cite Review PDF Full Text: DOI
Fliess, Michel Realisation locale des systèmes non linéaires, algèbres de Lie filtrees transitives et séries generatrices non commutatives. (French) Zbl 0513.93014 Invent. Math. 71, 521-537 (1983). MSC: 93B15 17B65 93C10 16W60 93B05 93B20 93B07 93B25 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Wechler, Wolfgang Characterization of rational and algebraic power series. (English) Zbl 0512.68073 RAIRO, Inf. Théor. 17, 3-11 (1983). MSC: 68T99 13F25 × Cite Format Result Cite Review PDF Full Text: EuDML
Fliess, Michel Fonctionnelles causales non linéaires et indéterminées non commutatives. (French) Zbl 0476.93021 Bull. Soc. Math. Fr. 109, 3-40 (1981). MSC: 93B15 32A05 32A25 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Bumby, R.; Sontag, E. D.; Sussmann, H. J.; Vasconcelos, W. Remarks on the pole-shifting problem over rings. (English) Zbl 0455.15009 J. Pure Appl. Algebra 20, 113-127 (1981). MSC: 15A21 13A99 93C05 × Cite Format Result Cite Review PDF Full Text: DOI
Arbib, Michael A.; Manes, Ernest G. Foundations of system theory: The Hankel matrix. (English) Zbl 0446.93003 J. Comput. Syst. Sci. 20, 330-378 (1980). MSC: 93A10 93C25 93B05 93B07 × Cite Format Result Cite Review PDF Full Text: DOI
Reutenauer, Christophe Series formelles et algèbres syntactiques. (French) Zbl 0444.68075 J. Algebra 66, 448-483 (1980). MSC: 68T99 16S10 16Rxx 20M35 13J05 11B37 13F25 × Cite Format Result Cite Review PDF Full Text: DOI
Gerard, Jacob Un théorème de factorisation des produits d’endomorphismes de \(K^N\). (French) Zbl 0441.16002 J. Algebra 63, 389-412 (1980). MSC: 16W60 16Kxx × Cite Format Result Cite Review PDF Full Text: DOI
Inagaki, Masato; Funahashi, Yasuyuki Nonisomorphic classes of inhomogeneous bilinear realizations: Realizability and existence. (English) Zbl 0435.93008 Automatica 16, 105-108 (1980). MSC: 93B15 93B20 93C10 93C55 × Cite Format Result Cite Review PDF Full Text: DOI
Fliess, Michel Realizations of nonlinear systems and abstract transitive Lie algebras. (English) Zbl 0427.93011 Bull. Am. Math. Soc., New Ser. 2, 444-446 (1980). MSC: 93B15 93C10 22E65 22E99 17B99 × Cite Format Result Cite Review PDF Full Text: DOI
Reutenauer, Christophe Sur les séries associees à certains systèmes de Lindenmayer. (French) Zbl 0456.68084 Theor. Comput. Sci. 9, 363-375 (1979). MSC: 68Q45 × Cite Format Result Cite Review PDF Full Text: DOI
Kamen, Edward W. On the relationship between bilinear maps and linear two-dimensional maps. (English) Zbl 0424.93019 Nonlinear Anal., Theory Methods Appl. 3, 467-781 (1979). MSC: 93B25 93D99 93C10 × Cite Format Result Cite Review PDF Full Text: DOI
Choffrut, Christian Sur les transductions reconnaissables. (French) Zbl 0423.20053 RAIRO, Inf. Théor. 12, 203-212 (1978). Reviewer: József Dénes (Budapest) MSC: 20M05 20M15 20M35 68Q45 × Cite Format Result Cite Review PDF Full Text: EuDML
Fornasini, E.; Marchesini, G. Doubly-indexed dynamical systems: State-space models and structural properties. (English) Zbl 0392.93034 Math. Syst. Theory 12, 59-72 (1978). MSC: 93E11 93C55 93B05 93D99 × Cite Format Result Cite Review PDF Full Text: DOI
Jacob, Gerard Un algorithme calculant le cardinal, fini ou infini, des demi-groupes de matrices. (French) Zbl 0388.15001 Theor. Comput. Sci. 5 (1977), 183-204 (1978). MSC: 15-04 15A24 68Q70 68Q45 × Cite Format Result Cite Review PDF Full Text: DOI
Clancy, Steven J.; Rugh, Wilson J. On the realization problem for stationary, homogeneous, discrete-time systems. (English) Zbl 0383.93030 Automatica 14, 357-366 (1978). MSC: 93C55 93C99 93B20 93C10 × Cite Format Result Cite Review PDF Full Text: DOI
Mandel, Arnaldo; Simon, Imre On finite semigroups of matrices. (English) Zbl 0368.20049 Theor. Comput. Sci. 5(1977), 101-111 (1978). MSC: 20M20 20M35 20H20 68Q45 × Cite Format Result Cite Review PDF Full Text: DOI
Sontag, Eduardo D. The lattice of minimal realizations of response maps over rings. (English) Zbl 0349.93012 Math. Syst. Theory 11, 169-175 (1977). MSC: 93B10 93B15 93B25 13C99 × Cite Format Result Cite Review PDF Full Text: DOI
Fornasini, Ettore; Marchesini, Giovanni Algebraic realization theory of bilinear discrete-time input-output maps. (English) Zbl 0332.93021 J. Franklin Inst. 301, 143-159 (1976). MSC: 93B15 93B10 93C55 × Cite Format Result Cite Review PDF Full Text: DOI
Sontag, Eduardo D. On linear systems and noncommutative rings. (English) Zbl 0325.93001 Math. Syst. Theory 9 (1975), 327-344 (1976). MSC: 93A05 93C05 16-00 94B99 × Cite Format Result Cite Review PDF Full Text: DOI
Sontag, Eduardo D. On some questions of rationality and decidability. (English) Zbl 0357.68064 J. Comput. Syst. Sci. 11, 375-381 (1975). MSC: 68Q45 03B25 68W99 × Cite Format Result Cite Review PDF Full Text: DOI
Fliess, Michel Series rationnelles positives et processus stochastiques. (French) Zbl 0337.60057 Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. B 11, 1-21 (1975). MSC: 60J05 × Cite Format Result Cite Review PDF Full Text: Numdam EuDML
Fliess, Michel Transductions de séries formelles. (French) Zbl 0301.16003 Discrete Math. 10, 57-74 (1974). MSC: 16S10 68Q45 × Cite Format Result Cite Review PDF Full Text: DOI