Edit Profile (opens in new tab) Pták, Vlastimil Compute Distance To: Compute Author ID: ptak.vlastimil Published as: Pták, Vlastimil; Pták, V.; Pták, V. F. Homepage: https://web.math.muni.cz/biografie/vlastimil_ptak.html External Links: MGP · Wikidata · Math-Net.Ru · dblp Documents Indexed: 165 Publications since 1951, including 1 Book 1 Further Contribution Reviewing Activity: 43 Reviews Biographic References: 11 Publications Co-Authors: 19 Co-Authors with 60 Joint Publications 501 Co-Co-Authors all top 5 Co-Authors 106 single-authored 25 Fiedler, Miroslav 8 Vrbová, Pavla 6 Potra, Florian-Alexandru 4 Vavřín, Zdeněk 3 Van Barel, Marc 3 Young, Nicholas John 2 Neumann, Michael M. 2 Retakh, Vladimir Solomonovich 2 Strakoš, Zdeněk 2 Zemánek, Jaroslav 1 Albrecht, Ernst 1 Arioli, Mario 1 Asplund, Edgar 1 Colojoară, Ion 1 Dales, C. 1 Eschmeier, Jorg 1 Foiaş, Ciprian Ilie 1 Greenbaum, Anne 1 Haynsworth, Emilie V. 1 Jonas, Peter 1 Lešanovský, Antonín 1 Mařík, Jan 1 Neidhart, H. 1 Orlicz, Władysław Roman 1 Peller, Vladimir Vsevolodovich 1 Putinar, Mihai 1 Radjabalipour, Mehdi 1 Sedlacek, Jiri 1 Sinclair, Allan M. 1 Stochel, Jan 1 Szafraniec, Franciszek Hugon 1 Szőkefalvi-Nagy, Béla 1 Vasilescu, Florian-Horia 1 Widom, Harold 1 Wimmer, Harald K. 1 Young, N. G. all top 5 Serials 38 Czechoslovak Mathematical Journal 28 Linear Algebra and its Applications 18 Časopis Pro Pěstování Matematiky 8 Commentationes Mathematicae Universitatis Carolinae 6 Studia Mathematica 6 Manuscripta Mathematica 4 Numerische Mathematik 3 Discrete Mathematics 3 Acta Scientiarum Mathematicarum 3 Integral Equations and Operator Theory 3 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 2 IEEE Transactions on Automatic Control 2 Mathematica Scandinavica 2 Numerical Functional Analysis and Optimization 2 Soviet Mathematics. Doklady 2 Mathematica Bohemica 2 Expositiones Mathematicae 2 Bulletin de l’Académie Polonaise des Sciences, Série des Sciences Mathématiques, Astronomiques et Physiques 1 American Mathematical Monthly 1 Acta Mathematica 1 BIT 1 Bulletin of the London Mathematical Society 1 Bulletin de la Société Mathématique de France 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Proceedings of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 RAIRO. Analyse Numérique 1 SIAM Journal on Matrix Analysis and Applications 1 Mitteilungen der Mathematischen Gesellschaft in Hamburg 1 Proceedings of the Royal Irish Academy. Section A, Mathematical and Physical Sciences 1 Mathematical Inequalities & Applications 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris 1 Annales Societatis Mathematicae Polonae 1 Matematicko-Fyzikálny Časopis, Slovenskej Akadémie Vied 1 Translations. Series 2. American Mathematical Society all top 5 Fields 51 Operator theory (47-XX) 50 Functional analysis (46-XX) 48 Linear and multilinear algebra; matrix theory (15-XX) 21 Numerical analysis (65-XX) 6 General topology (54-XX) 5 Mathematical logic and foundations (03-XX) 5 Functions of a complex variable (30-XX) 4 History and biography (01-XX) 4 Combinatorics (05-XX) 4 Systems theory; control (93-XX) 3 Real functions (26-XX) 3 Difference and functional equations (39-XX) 3 Convex and discrete geometry (52-XX) 2 Field theory and polynomials (12-XX) 2 Approximations and expansions (41-XX) 1 Ordinary differential equations (34-XX) 1 Sequences, series, summability (40-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 123 Publications have been cited 1,769 times in 1,339 Documents Cited by ▼ Year ▼ On matrices with non-positive off-diagonal elements and positive principal minors. Zbl 0131.24806Fiedler, Miroslav; Pták, Vlastimil 316 1962 Nondiscrete induction and iterative processes. Zbl 0549.41001Potra, F.-A.; Pták, V. 266 1984 Some generalizations of positive definiteness and monotonicity. Zbl 0148.25801Fiedler, Miroslav; Pták, Vlastimil 91 1966 Any nonincreasing convergence curve is possible for GMRES. Zbl 0857.65029Greenbaum, Anne; Pták, Vlastimil; Strakoš, Zdeněk 81 1996 Completeness and the open mapping theorem. Zbl 0082.32502Pták, Vlastimil 71 1958 Sharp error bounds for Newton’s process. Zbl 0434.65034Potra, Florian A.; Pták, Vlastimil 60 1980 Diagonally dominant matrices. Zbl 0178.03402Fiedler, Miroslav; Pták, Vlastimil 37 1967 Banach algebras with involution. Zbl 0229.46054Pták, Vlastimil 34 1972 Generalized norms of matrices and the location of the spectrum. Zbl 0116.25302Fiedler, Miroslav; Pták, Vlastimil 29 1962 Norms and spectral radius of matrices. Zbl 0116.25301Pták, Vlastimil 28 1962 The rate of convergence of Newton’s process. Zbl 0304.65037Pták, Vlastimil 26 1976 Spectral radius, norms of iterates, and the critical exponent. Zbl 0159.32304Pták, Vlastimil 25 1968 On complete topological linear spaces. Zbl 0057.09303Pták, Vlastimil 24 1953 A new positive definite geometric mean of two positive definite matrices. Zbl 0872.15014Fiedler, Miroslav; Pták, Vlastimil 20 1997 Krylov sequences of maximal length and convergence of GMRES. Zbl 0916.65031Arioli, M.; Pták, V.; Strakoš, Z. 20 1998 On the spectral radius in Banach algebras with involution. Zbl 0209.44403Pták, V. 19 1970 On a theorem of Mazur and Orlicz. Zbl 0071.10801Pták, Vlastimil 18 1956 Nondiscrete mathematical induction and iterative existence proofs. Zbl 0323.46005Pták, Vlastimil 17 1976 Norms, spectra and combinatorial properties of matrices. Zbl 0093.24205Mařík, Jan; Pták, Vlastimil 17 1960 Cyclic products and an inequality for determinants. Zbl 0281.15014Fiedler, Miroslav; Pták, Vlastimil 16 1969 A quantitative refinement of the closed graph theorem. Zbl 0315.46007Pták, Vlastimil 15 1974 Extreme operators on polyhedral cones. Zbl 0328.15009Haynsworth, Emilie; Fiedler, Miroslav; Pták, Vlastimil 15 1976 On a combinatorial theorem and its application to nonnegative matrices. Zbl 0082.24402Pták, Vlastimil 13 1958 Some metric aspects of the open mapping and closed graph theorems. Zbl 0138.37602Pták, Vlastimil 13 1966 Functions of operators and the spectral radius. Zbl 0475.47005Pták, Vlastimil; Young, N. J. 13 1980 A generalization of the zero location theorem of Schur and Cohn. Zbl 0463.93049Pták, Vlastimil; Young, N. J. 13 1980 Deux théorèmes de factorisation. Zbl 0277.46047Pták, Vlastimil 12 1974 A minimax inequality for operators and a related numerical range. Zbl 0203.44902Asplund, E.; Pták, V. 12 1971 Extremal operators and oblique projections. Zbl 0611.47022Pták, Vlastimil 11 1985 An infinite companion matrix. Zbl 0404.15009Pták, Vlastimil 11 1978 A theorem of the closed graph type. Zbl 0286.46008Pták, Vlastimil 11 1974 An extension theorem for separately continuous functions and its application to functional analysis. Zbl 0146.36303Pták, Vlastimil 11 1964 Automatic continuity, local type and causality. Zbl 0604.46003Neumann, Michael M.; Pták, Vlastimil 10 1985 Isometric parts of operators and the critical exponent. Zbl 0351.47006Pták, Vlastimil 10 1976 Rayon spectral, norme des itérés d’un opérateur et exposant critique. Zbl 0162.45604Pták, Vlastimil 10 1967 A uniform boundedness theorem and mappings into spaces of operators. Zbl 0179.17705Pták, Vlastimil 10 1968 Some results on matrices of class K and their application to the convergence rate of iteration procedures. Zbl 0208.40103Fiedler, Miroslav; Pták, Vlastimil 10 1966 Bézoutians and intertwining matrices. Zbl 0621.15015Fiedler, Miroslav; Pták, Vlastimil 9 1987 Lifting intertwining relations. Zbl 0639.47022Pták, Vlastimil; Vrbová, Pavla 9 1988 Diagonals of convex sets. Zbl 0386.52002Fiedler, Miroslav; Pták, Vlastimil 9 1978 A maximum problem for matrices. Zbl 0422.15013Pták, Vlastimil 9 1979 A generalization of regula falsi. Zbl 0478.65039Potra, Florian A.; Pták, Vlastimil 9 1981 Derivations, commutators and the radical. Zbl 0376.46031Pták, Vlastimil 8 1978 On a theorem of W. F. Eberlein. Zbl 0065.09603Pták, V. 8 1955 A combinatorial theorem on systems of inequalities and its application to analysis. Zbl 0093.05601Pták, Vlastimil 8 1959 On the closed graph theorem. Zbl 0093.12002Pták, Vlastimil 8 1959 Biorthogonal systems and reflexivity of Banach spaces. Zbl 0114.30901Pták, Vlastimil 8 1959 A combinatorial lemma on the existence of convex means and its application to weak compactness. Zbl 0144.16903Pták, Vlastimil 8 1963 On a class of modified Newton processes. Zbl 0472.65049Potra, F.-A.; Pták, Vlastimil 8 1980 Intertwining and testing matrices corresponding to a polynomial. Zbl 0621.15016Fiedler, Miroslav; Pták, Vlastimil 7 1987 Operators of Toeplitz and Hankel type. Zbl 0661.47028Pták, Vlastimil; Vrbová, Pavla 7 1988 Factorization of Toeplitz and Hankel operators. Zbl 0892.47026Pták, V. 7 1997 Lyapunov, Bézout, and Hankel. Zbl 0567.15008Pták, Vlastimil 7 1984 A modification of Newton’s method. Zbl 0328.46013Pták, Vlastimil 7 1976 On uniform continuity of the spectral radius in Banach algebras. Zbl 0347.46051Pták, Vlastimil; Zemánek, Jaroslav 7 1977 Biorthogonal systems and the infinite companion matrix. Zbl 0506.15015Pták, Vlastimil 7 1983 Lyapunov equations and Gram matrices. Zbl 0509.15006Pták, Vlastimil 7 1983 What should be a rate of convergence? Zbl 0378.65031Pták, Vlastimil 6 1977 Nondiscrete induction and a double step secant method. Zbl 0423.65034Potra, F.-A.; Pták, Vlastimil 6 1980 Concerning the rate of convergence of Newton’s process. Zbl 0314.65023Pták, Vlastimil 6 1975 Weak compactness in convex topological linear spaces. Zbl 0057.09402Pták, Vlastimil 6 1954 Some inequalities for the spectrum of a matrix. Zbl 0102.01601Fiedler, Miroslav; Pták, Vlastimil 6 1960 Loewner and Bézout matrices. Zbl 0644.15016Fiedler, Miroslav; Pták, Vlastimil 5 1988 The rank of extreme positive operators on polyhedral cones. Zbl 0389.52011Fiedler, Miroslav; Pták, Vlastimil 5 1978 Nondiscrete induction and an inversion-free modification of Newton’s method. Zbl 0563.65040Potra, Florian A.; Pták, Vlastimil 5 1983 The infinite companion matrix. Zbl 0749.15015Pták, Vlastimil 5 1992 Two remarks on weak compactness. Zbl 0068.31604Pták, Vlastimil 5 1955 Some remarks on Saks spaces. Zbl 0078.28704Orlicz, W.; Pták, V. 5 1957 On the index of imprimitivity of nonnegative matrices. Zbl 0082.24403Pták, Vlastimil; Sedláček, Jiří 5 1958 Some open mapping theorems in LF-spaces and their application to existence theorems for convolution equations. Zbl 0145.39002Pták, Vlastimil 5 1965 On nonlinear subtraction theorem. Zbl 0477.46008Pták, Vlastimil 5 1982 Zero location by Hermitian forms: the singular case. Zbl 0492.30005Pták, Vlastimil; Young, N. J. 5 1982 Extension of sequentially continuous functionals in inductive limits of Banach spaces. Zbl 0194.17202Pták, Vlastimil 5 1970 The Kantorovich inequality. Zbl 0856.26011Pták, Vlastimil 4 1995 A maximum problem for operators. Zbl 0547.47004Pták, Vlastimil 4 1984 On the Bézoutian for polynomial matrices. Zbl 0577.15017Pták, Vlastimil; Wimmer, Harald K. 4 1985 Banach algebras with involution. Zbl 0304.46036Pták, V. 4 1972 On the spectral function of a normal operator. Zbl 0268.47025Pták, Vlastimil; Vrbová, Pavla 4 1973 An extension theorem for separately continuous functions and its application to functional analysis. Zbl 0144.17001Pták, Vlastimil 4 1963 The discrete Lyapunov equation in controllable canonical form. Zbl 0477.93015Pták, Vlastimil 4 1981 Simultaneous extensions of two functionals. Zbl 0182.47902Pták, Vlastimil 4 1969 Commutators in Banach algebras. Zbl 0407.46043Pták, Vlastimil 3 1979 Hankel matrices and the infinite companion. Zbl 0598.15018Pták, Vlastimil 3 1986 Critical exponents. Zbl 0803.47007Pták, Vlastimil 3 1993 Continuité lipschitzienne du spectre comme fonction d’un opérateur normal. Zbl 0341.47019Pták, Vlastimil; Zemánek, Jaroslav 3 1976 Factorization in Banach algebras. Zbl 0342.46036Pták, Vlastimil 3 1979 Compact subsets of convex topological linear spaces. Zbl 0057.09401Pták, Vlastimil 3 1954 Über die Konvergenz des verallgemeinerten Seidelschen Verfahrens zur Lösung von Systemen linearer Gleichungen. Zbl 0072.13901Fiedler, Miroslav; Pták, Vlastimil 3 1956 On approximation of continuous functions in the metric \(\int\limits_a^b | x(t) | dt\). Zbl 0082.27804Pták, Vlastimil 3 1958 An equation of Lyapunov type. Zbl 0469.47013Pták, Vlastimil 3 1981 Openness of linear mappings in LF-spaces. Zbl 0185.20701Pták, Vlastimil 3 1969 Estimates and iteration procedures for proper values of almost decomposable matrices. Zbl 0243.65011Fiedler, Miroslav; Pták, Vlastimil 3 1964 Algebraic spectral subspaces. Zbl 0667.47001Pták, Vlastimil; Vrbová, Pavla 2 1988 An abstract model for compressions. Zbl 0669.47005Pták, Vlastimil; Vrbová, Pavla 2 1988 Block analogies of comparison matrices. Zbl 0874.15014Fiedler, Miroslav; Pták, Vlastimil 2 1997 Bézout, Hankel, and Loewner matrices. Zbl 0774.15016Pták, Vlastimil; Vavřín, Zdeněk 2 1993 Contractive couplings. Zbl 0783.47007Pták, Vlastimil; Vrbová, Pavla 2 1992 A quantitative extension of the Perron-Frobenius theorem for doubly stochastic matrices. Zbl 0322.15021Fiedler, Miroslav; Pták, Vlastimil 2 1975 Immersibility of semigroups. Zbl 0052.25802Pták, Vlastimil 2 1952 Concerning spaces of continuous functions. Zbl 0068.31605Pták, Vlastimil 2 1955 Combinatorial methods in analysis. Zbl 0995.05004Pták, Vlastimil 1 2001 Extending the notions of companion and infinite companion to matrix polynomials. Zbl 0979.15003Van Barel, Marc; Pták, Vlastimil; Vavřín, Zdeněk 2 1999 Krylov sequences of maximal length and convergence of GMRES. Zbl 0916.65031Arioli, M.; Pták, V.; Strakoš, Z. 20 1998 Some inequalities related to \(M\)-matrices. Zbl 0907.15012Fiedler, Miroslav; Pták, Vlastimil 1 1998 A new positive definite geometric mean of two positive definite matrices. Zbl 0872.15014Fiedler, Miroslav; Pták, Vlastimil 20 1997 Factorization of Toeplitz and Hankel operators. Zbl 0892.47026Pták, V. 7 1997 Block analogies of comparison matrices. Zbl 0874.15014Fiedler, Miroslav; Pták, Vlastimil 2 1997 Strong majorization for Hermitian matrices. Zbl 0881.15008Fiedler, Miroslav; Pták, Vlastimil 1 1997 Diagonal blocks of two mutually inverse positive definite block matrices. Zbl 0903.15009Fiedler, M.; Pták, V. 1 1997 Any nonincreasing convergence curve is possible for GMRES. Zbl 0857.65029Greenbaum, Anne; Pták, Vlastimil; Strakoš, Zdeněk 81 1996 Möbius functions of the shift and extremal operators. Zbl 0848.65017Pták, Vlastimil 1 1996 Generating functions and Bézoutians. Zbl 0863.15002Pták, Vlastimil 1 1996 The Kantorovich inequality. Zbl 0856.26011Pták, Vlastimil 4 1995 Critical exponents. Zbl 0803.47007Pták, Vlastimil 3 1993 Bézout, Hankel, and Loewner matrices. Zbl 0774.15016Pták, Vlastimil; Vavřín, Zdeněk 2 1993 The infinite companion matrix. Zbl 0749.15015Pták, Vlastimil 5 1992 Contractive couplings. Zbl 0783.47007Pták, Vlastimil; Vrbová, Pavla 2 1992 Lifting intertwining relations. Zbl 0639.47022Pták, Vlastimil; Vrbová, Pavla 9 1988 Operators of Toeplitz and Hankel type. Zbl 0661.47028Pták, Vlastimil; Vrbová, Pavla 7 1988 Loewner and Bézout matrices. Zbl 0644.15016Fiedler, Miroslav; Pták, Vlastimil 5 1988 Algebraic spectral subspaces. Zbl 0667.47001Pták, Vlastimil; Vrbová, Pavla 2 1988 An abstract model for compressions. Zbl 0669.47005Pták, Vlastimil; Vrbová, Pavla 2 1988 Bézoutians and intertwining matrices. Zbl 0621.15015Fiedler, Miroslav; Pták, Vlastimil 9 1987 Intertwining and testing matrices corresponding to a polynomial. Zbl 0621.15016Fiedler, Miroslav; Pták, Vlastimil 7 1987 Hankel matrices and the infinite companion. Zbl 0598.15018Pták, Vlastimil 3 1986 A measure of thickness for families of sets. Zbl 0583.05001Lešanovský, Antonín; Pták, Vlastimil 1 1986 Extremal operators and oblique projections. Zbl 0611.47022Pták, Vlastimil 11 1985 Automatic continuity, local type and causality. Zbl 0604.46003Neumann, Michael M.; Pták, Vlastimil 10 1985 On the Bézoutian for polynomial matrices. Zbl 0577.15017Pták, Vlastimil; Wimmer, Harald K. 4 1985 Isometries in \(H^ 2\), generating functions and extremal problems. Zbl 0572.47003Pták, Vlastimil 1 1985 Nondiscrete induction and iterative processes. Zbl 0549.41001Potra, F.-A.; Pták, V. 266 1984 Lyapunov, Bézout, and Hankel. Zbl 0567.15008Pták, Vlastimil 7 1984 A maximum problem for operators. Zbl 0547.47004Pták, Vlastimil 4 1984 Bezoutians and projections. Zbl 0582.15004Pták, Vlastimil 1 1984 Biorthogonal systems and the infinite companion matrix. Zbl 0506.15015Pták, Vlastimil 7 1983 Lyapunov equations and Gram matrices. Zbl 0509.15006Pták, Vlastimil 7 1983 Nondiscrete induction and an inversion-free modification of Newton’s method. Zbl 0563.65040Potra, Florian A.; Pták, Vlastimil 5 1983 Uniqueness in the first maximum problem. Zbl 0516.47004Pták, Vlastimil 2 1983 On nonlinear subtraction theorem. Zbl 0477.46008Pták, Vlastimil 5 1982 Zero location by Hermitian forms: the singular case. Zbl 0492.30005Pták, Vlastimil; Young, N. J. 5 1982 A generalization of regula falsi. Zbl 0478.65039Potra, Florian A.; Pták, Vlastimil 9 1981 The discrete Lyapunov equation in controllable canonical form. Zbl 0477.93015Pták, Vlastimil 4 1981 An equation of Lyapunov type. Zbl 0469.47013Pták, Vlastimil 3 1981 Sharp error bounds for Newton’s process. Zbl 0434.65034Potra, Florian A.; Pták, Vlastimil 60 1980 Functions of operators and the spectral radius. Zbl 0475.47005Pták, Vlastimil; Young, N. J. 13 1980 A generalization of the zero location theorem of Schur and Cohn. Zbl 0463.93049Pták, Vlastimil; Young, N. J. 13 1980 On a class of modified Newton processes. Zbl 0472.65049Potra, F.-A.; Pták, Vlastimil 8 1980 Nondiscrete induction and a double step secant method. Zbl 0423.65034Potra, F.-A.; Pták, Vlastimil 6 1980 A lower bound for the spectral radius. Zbl 0475.47006Pták, Vlastimil 2 1980 A maximum problem for matrices. Zbl 0422.15013Pták, Vlastimil 9 1979 Commutators in Banach algebras. Zbl 0407.46043Pták, Vlastimil 3 1979 Factorization in Banach algebras. Zbl 0342.46036Pták, Vlastimil 3 1979 A rate of convergence. Zbl 0441.46010Pták, Vlastimil 2 1979 Stability of exactness. Zbl 0445.46003Pták, Vlastimil 1 1979 An infinite companion matrix. Zbl 0404.15009Pták, Vlastimil 11 1978 Diagonals of convex sets. Zbl 0386.52002Fiedler, Miroslav; Pták, Vlastimil 9 1978 Derivations, commutators and the radical. Zbl 0376.46031Pták, Vlastimil 8 1978 The rank of extreme positive operators on polyhedral cones. Zbl 0389.52011Fiedler, Miroslav; Pták, Vlastimil 5 1978 On uniform continuity of the spectral radius in Banach algebras. Zbl 0347.46051Pták, Vlastimil; Zemánek, Jaroslav 7 1977 What should be a rate of convergence? Zbl 0378.65031Pták, Vlastimil 6 1977 Nondiscrete mathematical induction. Zbl 0367.46007Pták, Vlastimil 1 1977 The rate of convergence of Newton’s process. Zbl 0304.65037Pták, Vlastimil 26 1976 Nondiscrete mathematical induction and iterative existence proofs. Zbl 0323.46005Pták, Vlastimil 17 1976 Extreme operators on polyhedral cones. Zbl 0328.15009Haynsworth, Emilie; Fiedler, Miroslav; Pták, Vlastimil 15 1976 Isometric parts of operators and the critical exponent. Zbl 0351.47006Pták, Vlastimil 10 1976 A modification of Newton’s method. Zbl 0328.46013Pták, Vlastimil 7 1976 Continuité lipschitzienne du spectre comme fonction d’un opérateur normal. Zbl 0341.47019Pták, Vlastimil; Zemánek, Jaroslav 3 1976 The spectral radii of an operator and its modulus. Zbl 0332.15003Pták, Vlastimil 1 1976 Concerning the rate of convergence of Newton’s process. Zbl 0314.65023Pták, Vlastimil 6 1975 A quantitative extension of the Perron-Frobenius theorem for doubly stochastic matrices. Zbl 0322.15021Fiedler, Miroslav; Pták, Vlastimil 2 1975 A quantitative refinement of the closed graph theorem. Zbl 0315.46007Pták, Vlastimil 15 1974 Deux théorèmes de factorisation. Zbl 0277.46047Pták, Vlastimil 12 1974 A theorem of the closed graph type. Zbl 0286.46008Pták, Vlastimil 11 1974 On the spectral function of a normal operator. Zbl 0268.47025Pták, Vlastimil; Vrbová, Pavla 4 1973 Banach algebras with involution. Zbl 0229.46054Pták, Vlastimil 34 1972 Banach algebras with involution. Zbl 0304.46036Pták, V. 4 1972 Un théorème de factorisation. Zbl 0252.46044Pták, Vlastimil 1 1972 A minimax inequality for operators and a related numerical range. Zbl 0203.44902Asplund, E.; Pták, V. 12 1971 On the spectral radius in Banach algebras with involution. Zbl 0209.44403Pták, V. 19 1970 Extension of sequentially continuous functionals in inductive limits of Banach spaces. Zbl 0194.17202Pták, Vlastimil 5 1970 Cyclic products and an inequality for determinants. Zbl 0281.15014Fiedler, Miroslav; Pták, Vlastimil 16 1969 Simultaneous extensions of two functionals. Zbl 0182.47902Pták, Vlastimil 4 1969 Openness of linear mappings in LF-spaces. Zbl 0185.20701Pták, Vlastimil 3 1969 A remark on compactness of embeddings. Zbl 0181.13704Pták, Vlastimil 2 1969 Spectral radius, norms of iterates, and the critical exponent. Zbl 0159.32304Pták, Vlastimil 25 1968 A uniform boundedness theorem and mappings into spaces of operators. Zbl 0179.17705Pták, Vlastimil 10 1968 Diagonally dominant matrices. Zbl 0178.03402Fiedler, Miroslav; Pták, Vlastimil 37 1967 Rayon spectral, norme des itérés d’un opérateur et exposant critique. Zbl 0162.45604Pták, Vlastimil 10 1967 Some generalizations of positive definiteness and monotonicity. Zbl 0148.25801Fiedler, Miroslav; Pták, Vlastimil 91 1966 Some metric aspects of the open mapping and closed graph theorems. Zbl 0138.37602Pták, Vlastimil 13 1966 Some results on matrices of class K and their application to the convergence rate of iteration procedures. Zbl 0208.40103Fiedler, Miroslav; Pták, Vlastimil 10 1966 Some open mapping theorems in LF-spaces and their application to existence theorems for convolution equations. Zbl 0145.39002Pták, Vlastimil 5 1965 An extension theorem for separately continuous functions and its application to functional analysis. Zbl 0146.36303Pták, Vlastimil 11 1964 Estimates and iteration procedures for proper values of almost decomposable matrices. Zbl 0243.65011Fiedler, Miroslav; Pták, Vlastimil 3 1964 On aggregation in matrix theory and its application to numerical inverting of large matrices. Zbl 0235.65027Fiedler, M.; Pták, V. 2 1964 A combinatorial lemma on the existence of convex means and its application to weak compactness. Zbl 0144.16903Pták, Vlastimil 8 1963 An extension theorem for separately continuous functions and its application to functional analysis. Zbl 0144.17001Pták, Vlastimil 4 1963 On matrices with non-positive off-diagonal elements and positive principal minors. Zbl 0131.24806Fiedler, Miroslav; Pták, Vlastimil 316 1962 Generalized norms of matrices and the location of the spectrum. Zbl 0116.25302Fiedler, Miroslav; Pták, Vlastimil 29 1962 Norms and spectral radius of matrices. Zbl 0116.25301Pták, Vlastimil 28 1962 ...and 23 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,250 Authors 100 Argyros, Ioannis Konstantinos 62 Pták, Vlastimil 40 Hernández, Miguel Ángel 39 Ezquerro, José Antonio 26 Fiedler, Miroslav 21 Grau-Sánchez, Miquel 20 Hernández-Verón, Miguel Ángel 20 Magreñán, Ángel Alberto 18 George, Santhosh 17 Rubio, María Jesús 17 Schneider, Hans 16 Amat, Sergio P. 16 Johnson, Charles Royal 15 Neumann, Michael 14 Busquier, Sonia 14 Noguera, Miquel 14 Potra, Florian-Alexandru 14 Valdivia Ureña, Manuel 13 Smith, Ronald L. 12 Cottle, Richard W. 12 Hilout, Saïd 12 Markham, Thomas L. 11 Sharma, Janak Raj 11 Young, Nicholas John 10 Behl, Ramandeep 10 Pang, Jong-Shi 10 Romero, Natalia 10 Varga, Richard Steven 9 Chun, Changbum 9 Gowda, Muddappa Seetharama 9 Tam, Bit-Shun 8 Berman, Abraham S. 8 Chen, Gongning 8 Kou, Jisheng 8 Lim, Yongdo 8 Meurant, Gérard A. 8 Sivakumar, Koratti Chengalrayan 8 Štěrbová, Dina 8 Yamamoto, Tetsuro 7 Candela, Vicente F. 7 Grau, Àngela 7 Gutiérrez, José Manuel 7 Kanwar, Vinay 7 Loewy, Raphael 7 Parhi, Sanjaya Kumar 7 Sicilia, Juan Antonio 6 Deutsch, Emeric 6 Engel, Gernot Michael 6 González, Daniel 6 Kolotilina, Lily Yu. 6 Neumann, Michael M. 6 Sergeev, Sergeĭ Mikhaĭlovich 6 Sharma, Debasis 6 Šiljak, Dragoslav D. 6 Tsatsomeros, Michael J. 6 Vavřín, Zdeněk 5 Anastassiou, George Angelos 5 Arora, Himani 5 Dube, Themba 5 Duintjer Tebbens, Jurjen 5 Fragoulopoulou, Maria 5 Gustafson, Karl Edwin 5 Hershkowitz, Daniel 5 Li, Yitian 5 Martínez, Eulalia 5 Motsa, Sandile Sydney 5 Nabben, Reinhard 5 Rohn, Jiri 5 Sznajder, Roman 5 Vrbová, Pavla 5 Wang, Xiuhua 4 Alshomrani, Ali Saleh 4 Axelsson, Axel Owe Holger 4 Cătinaş, Emil 4 Ebiefung, Aniekan A. 4 Ferronato, Massimiliano 4 Husain, Taqdir 4 Marquina, Antonio 4 Müller, Vladimír 4 Paúl, Pedro José 4 Peris, Rosa M. 4 Pestana, Jennifer 4 Rakočević, Vladimir 4 Ruiz Galán, Manuel 4 Salanova, M. Amparo 4 Sarría, Ínigo 4 Scarpini, Francesco 4 Simons, Stephen 4 Singer, Ivan 4 Stein, James D. jun. 4 Szulc, Tomasz 4 Tao, Jiyuan 4 Velasco, A. I. 4 Wathen, Andrew John 4 Wimmer, Harald K. 3 Adasch, Norbert 3 Aganagic, Muhamed 3 Baker, John Walter 3 Benzi, Michele 3 Bhalla, Sonia ...and 1,150 more Authors all top 5 Cited in 236 Serials 277 Linear Algebra and its Applications 66 Czechoslovak Mathematical Journal 64 Applied Mathematics and Computation 50 Journal of Computational and Applied Mathematics 46 Journal of Mathematical Analysis and Applications 35 Numerische Mathematik 30 Mathematische Annalen 30 Numerical Algorithms 25 Journal of Optimization Theory and Applications 18 Numerical Functional Analysis and Optimization 17 Archiv der Mathematik 17 Mathematical Programming 16 Transactions of the American Mathematical Society 16 Mathematical Programming. Series A. Series B 15 Linear and Multilinear Algebra 14 Computers & Mathematics with Applications 14 Manuscripta Mathematica 13 Automatica 13 S\(\vec{\text{e}}\)MA Journal 12 BIT 12 Journal of Functional Analysis 12 Proceedings of the American Mathematical Society 12 Applied Mathematics Letters 11 Integral Equations and Operator Theory 10 SIAM Journal on Algebraic and Discrete Methods 10 Applied Numerical Mathematics 9 Mathematische Zeitschrift 9 Journal of Complexity 9 International Journal of Computer Mathematics 8 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 8 Topology and its Applications 8 Numerical Linear Algebra with Applications 8 International Journal of Applied and Computational Mathematics 7 Periodica Mathematica Hungarica 7 Aplikace Matematiky 7 Rendiconti del Circolo Matemàtico di Palermo. Serie II 7 SIAM Journal on Scientific Computing 7 Journal of Mathematical Sciences (New York) 7 Journal of Mathematical Chemistry 6 Journal of Computational Physics 6 Computing 6 Mathematica Slovaca 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 SIAM Journal on Matrix Analysis and Applications 6 ELA. The Electronic Journal of Linear Algebra 5 Mathematical Biosciences 5 Mathematical Notes 5 Rocky Mountain Journal of Mathematics 5 Journal of Scientific Computing 5 Computational and Applied Mathematics 5 Abstract and Applied Analysis 5 Bulletin of the American Mathematical Society 4 Discrete Mathematics 4 Journal of Mathematical Biology 4 Mathematics of Computation 4 Advances in Mathematics 4 Annales de l’Institut Fourier 4 Calcolo 4 Journal of Soviet Mathematics 4 Monatshefte für Mathematik 4 Systems & Control Letters 4 Operations Research Letters 4 Acta Mathematica Hungarica 4 European Journal of Operational Research 4 Applicationes Mathematicae 3 Acta Mathematica Academiae Scientiarum Hungaricae 3 International Journal of Control 3 Israel Journal of Mathematics 3 Journal of the Franklin Institute 3 Chaos, Solitons and Fractals 3 Journal of Approximation Theory 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Siberian Mathematical Journal 3 Optimization 3 Japan Journal of Applied Mathematics 3 Annals of Operations Research 3 Journal of Global Optimization 3 Advances in Computational Mathematics 3 Positivity 3 Journal of Inequalities and Applications 3 Journal of Applied Mathematics and Computing 3 Proceedings of the Japan Academy 3 Frontiers of Mathematics in China 3 Algorithms 2 Archive for History of Exact Sciences 2 Bulletin of the Australian Mathematical Society 2 Computer Methods in Applied Mechanics and Engineering 2 Discrete Applied Mathematics 2 Indian Journal of Pure & Applied Mathematics 2 Inverse Problems 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Arkiv för Matematik 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Cahiers de Topologie et Géométrie Différentielle Catégoriques 2 International Journal of Game Theory 2 Journal of Economic Theory 2 Kybernetika 2 RAIRO. Analyse Numérique 2 Tohoku Mathematical Journal. Second Series ...and 136 more Serials all top 5 Cited in 56 Fields 512 Numerical analysis (65-XX) 367 Linear and multilinear algebra; matrix theory (15-XX) 290 Operator theory (47-XX) 204 Functional analysis (46-XX) 136 Operations research, mathematical programming (90-XX) 58 General topology (54-XX) 55 Systems theory; control (93-XX) 43 Calculus of variations and optimal control; optimization (49-XX) 42 Combinatorics (05-XX) 37 Ordinary differential equations (34-XX) 30 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 29 Integral equations (45-XX) 25 Real functions (26-XX) 20 Partial differential equations (35-XX) 17 Approximations and expansions (41-XX) 17 Convex and discrete geometry (52-XX) 16 Biology and other natural sciences (92-XX) 15 Order, lattices, ordered algebraic structures (06-XX) 15 Functions of a complex variable (30-XX) 14 Fluid mechanics (76-XX) 12 Probability theory and stochastic processes (60-XX) 11 Dynamical systems and ergodic theory (37-XX) 10 Difference and functional equations (39-XX) 9 Topological groups, Lie groups (22-XX) 9 Measure and integration (28-XX) 9 Computer science (68-XX) 8 Field theory and polynomials (12-XX) 8 Abstract harmonic analysis (43-XX) 7 Group theory and generalizations (20-XX) 6 History and biography (01-XX) 6 Several complex variables and analytic spaces (32-XX) 5 Mathematical logic and foundations (03-XX) 5 Mechanics of deformable solids (74-XX) 4 General and overarching topics; collections (00-XX) 4 Commutative algebra (13-XX) 4 Associative rings and algebras (16-XX) 4 Nonassociative rings and algebras (17-XX) 4 Statistics (62-XX) 4 Information and communication theory, circuits (94-XX) 3 Sequences, series, summability (40-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Quantum theory (81-XX) 2 Category theory; homological algebra (18-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Geometry (51-XX) 2 Manifolds and cell complexes (57-XX) 1 Number theory (11-XX) 1 \(K\)-theory (19-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.