## Marek, Ivo

Compute Distance To:
 Author ID: marek.ivo Published as: Marek, Ivo; Marek, I. Further Spellings: Марек, И Homepage: https://mat.fsv.cvut.cz/marekivo/ External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND
 Documents Indexed: 134 Publications since 1957, including 2 Books 8 Contributions as Editor · 1 Further Contribution Reviewing Activity: 46 Reviews Biographic References: 4 Publications Co-Authors: 34 Co-Authors with 64 Joint Publications 555 Co-Co-Authors
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### Co-Authors

 78 single-authored 9 Mayer, Petr 9 Szyld, Daniel B. 6 Žitný, Karel 5 Bohl, Erich 4 Janovský, Vladimír 4 Pultarová, Ivana 4 Vondřejc, Jaroslav 4 Zeman, Jan 3 Neuberg, Jiri 2 Eiermann, Michael 2 Freund, Roland W. 2 Hortel, Milan 2 Kubicek, Milan 2 Kyncl, Jan 2 Nečas, Jindřich 2 Niethammer, Wilhelm 1 Anger, Gottfried 1 Bamberger, Alain 1 Björck, Åke 1 Blaheta, Radim 1 Bobok, Jozef 1 Bohlin, Torsten 1 Boubelikova, Ludmilla 1 Chavent, Guy 1 Cifka, J. 1 Deregowski, S. M. 1 Edholm, Paul 1 Eldén, Lars 1 Elfving, Tommy 1 Engquist, Bjorn E. 1 Glashoff, Klaus 1 Granlund, Gösta H. 1 Groschaftova, Zdenka 1 Gustafson, Sven-Åke 1 Gustafsson, Bertil 1 Hoerová, Tatiana 1 Holodniok, Martin 1 Hosken, J. W. J. 1 Hustak, Petr 1 Ingemarsson, Ingemar 1 Janovská, Drahoslava 1 Kintsel, Ya. 1 Knutsson, Hans 1 Kolomy, Josef 1 Kristensson, Gerhard 1 Kynel, J. 1 Lailly, Patrick 1 Lakhany, A. M. 1 Lelek, Vladimir 1 Ljung, Lennart 1 Marek, Milos 1 Nashed, M. Zuhair 1 Natterer, Frank 1 Neuman, Jiri 1 Niordson, Frithiof I. N. 1 Nordling, Nikus 1 Novák, Jan 1 Olhoff, Niels 1 Payne, Lawrence Edward 1 Philip, Johan 1 Pironneau, Olivier 1 Pokorná, Olga 1 Rasmussen, Steen Hojlund 1 Ström, Staffan 1 Sundström, Arne 1 Varga, Richard Steven 1 Wahba, Grace 1 Wedin, Per-Åke 1 Whiteman, John Robert 1 Wold, Svante 1 Zítko, Jan
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### Serials

 18 Commentationes Mathematicae Universitatis Carolinae 11 Aplikace Matematiky 10 Linear Algebra and its Applications 8 Časopis Pro Pěstování Matematiky 6 Numerical Linear Algebra with Applications 5 Numerische Mathematik 5 Applications of Mathematics 4 Acta Universitatis Carolinae. Mathematica et Physica 4 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 4 Czechoslovak Mathematical Journal 4 Journal of Computational and Applied Mathematics 3 Soviet Mathematics. Doklady 3 Teubner-Texte zur Mathematik 2 Computers & Mathematics with Applications 2 Computer Methods in Applied Mechanics and Engineering 2 Mathematical Systems Theory 2 Numerical Functional Analysis and Optimization 2 Pokroky Matematiky, Fyziky & Astronomie 2 SIAM Journal on Applied Mathematics 1 Journal of Computational Physics 1 Wissenschaftliche Zeitschrift der Technischen Hochschule Karl-Marx-Stadt 1 Mathematics of Computation 1 Integral Equations and Operator Theory 1 Kybernetika 1 Applied Numerical Mathematics 1 SIAM Journal on Matrix Analysis and Applications 1 U.S.S.R. Computational Mathematics and Mathematical Physics 1 ETNA. Electronic Transactions on Numerical Analysis 1 Acta et Commentationes Universitatis Tartuensis de Mathematica 1 International Journal of Differential Equations and Applications 1 Matematicko-Fyzikálny Časopis, Slovenskej Akadémie Vied 1 Beiträge zur Numerischen Mathematik
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### Fields

 63 Numerical analysis (65-XX) 39 Operator theory (47-XX) 16 Probability theory and stochastic processes (60-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 10 Partial differential equations (35-XX) 9 General and overarching topics; collections (00-XX) 9 Statistical mechanics, structure of matter (82-XX) 6 Functional analysis (46-XX) 6 Fluid mechanics (76-XX) 5 History and biography (01-XX) 5 Ordinary differential equations (34-XX) 5 Biology and other natural sciences (92-XX) 4 Integral equations (45-XX) 4 Mechanics of deformable solids (74-XX) 4 Systems theory; control (93-XX) 3 Optics, electromagnetic theory (78-XX) 2 Difference and functional equations (39-XX) 2 Computer science (68-XX) 1 Real functions (26-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Statistics (62-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX)

### Citations contained in zbMATH Open

73 Publications have been cited 586 times in 401 Documents Cited by Year
Frobenius theory of positive operators: Comparison theorems and applications. Zbl 0219.47022
Marek, Ivo
1970
Accelerating a FFT-based solver for numerical homogenization of periodic media by conjugate gradients. Zbl 1197.65191
Zeman, Jan; Vondřejc, Jaroslav; Novák, Jan; Marek, Ivo
2010
On the solution of singular linear systems of algebraic equations by semiiterative methods. Zbl 0655.65049
Eiermann, Michael; Marek, Ivo; Niethammer, Wilhelm
1988
Comparison theorems for weak splittings of bounded operators. Zbl 0694.65023
Marek, Ivo; Szyld, Daniel B.
1990
An FFT-based Galerkin method for homogenization of periodic media. Zbl 1369.65151
Vondřejc, Jaroslav; Zeman, Jan; Marek, Ivo
2014
Superconvergence results on mildly structured triangulations. Zbl 0969.65097
Lakhany, A. M.; Marek, I.; Whiteman, J. R.
2000
Splittings of M-operators: Irreducibility and the index of the iteration operator. Zbl 0714.65059
Marek, Ivo; Szyld, Daniel B.
1990
Iterations of linear bounded operators in non self-adjoint eigenvalue problems and Kellogg’s iteration process. Zbl 0192.23701
Marek, I.
1962
Spektrale Eigenschaften der K-positiven Operatoren und Einschließungssätze für den Spektralradius. Zbl 0152.33701
Marek, Ivo
1966
Nested bounds for the spectral radius. Zbl 0221.65063
Marek, Ivo; Varga, Richard S.
1969
Convergence analysis of an iterative aggregation/disaggregation method for computing stationary probability vectors of stochastic matrices. Zbl 0937.65047
Marek, Ivo; Mayer, Petr
1998
Guaranteed upper-lower bounds on homogenized properties by FFT-based Galerkin method. Zbl 1423.74806
Vondřejc, Jaroslav; Zeman, Jan; Marek, Ivo
2015
Analysis of a fast Fourier transform based method for modeling of heterogeneous materials. Zbl 1354.74235
Vondřejc, Jaroslav; Zeman, Jan; Marek, Ivo
2012
On some spectral properties of Radon-Nikolski operators and their generalizations. Zbl 0119.11403
Marek, Ivo
1962
Convergence theory of some classes of iterative aggregation/disaggregation methods for computing stationary probability vectors of stochastic matrices. Zbl 1018.65048
Marek, Ivo; Mayer, Petr
2003
Algebraic Schwarz methods for the numerical solution of Markov chains. Zbl 1050.65030
Marek, Ivo; Szyld, Daniel B.
2004
$$u_ 0$$-positive operators and some of their applications. Zbl 0149.34901
Marek, Ivo
1967
Comparison theorems for the convergence factor of iterative methods for singular matrices. Zbl 0963.65036
Marek, Ivo; Szyld, Daniel B.
2000
Iterative and semi-iterative methods for computing stationary probability vectors of Markov operators. Zbl 0788.65142
Marek, Ivo; Szyld, Daniel B.
1993
On the polynomial eigenvalue problem with positive operators and location of the spectral radius. Zbl 0175.13701
Marek, Ivo
1969
Iterative aggregation/disaggregation methods for computing some characteristics of Markov chains. II: Fast convergence. Zbl 1025.65012
Marek, Ivo
2003
On the approximative construction of the eigenvectors corresponding to a pair of complex conjugated eigenvalues. Zbl 0243.65024
Marek, Ivo
1964
A nonlinear model involving $$M$$-operators. An amplification effect measured in the cascade of vision. Zbl 0833.65069
Bohl, Erich; Marek, Ivo
1995
A model of amplification. Zbl 0845.92003
Bohl, Erich; Marek, Ivo
1995
Comparison of convergence of general stationary iterative methods for singular matrices. Zbl 1018.65041
Marek, Ivo; Szyld, Daniel B.
2002
A note on local and global convergence analysis of iterative aggregation-disaggregation methods. Zbl 1087.65030
Marek, Ivo; Pultarová, Ivana
2006
A note on K-positive operators. Zbl 0201.16704
Marek, Ivo
1963
Collatz-Wielandt numbers in general partially ordered spaces. Zbl 0777.47003
Marek, Ivo
1992
Fundamental decay mode and asymptotic behaviour of positive semigroups. Zbl 0468.47025
Marek, Ivo
1980
Local convergence of the (exact and inexact) iterative aggregation method for linear systems and Markov operators. Zbl 0822.65019
Marek, Ivo; Szyld, Daniel B.
1994
Equivalence of K-irreducibility concepts. Zbl 0558.47031
Marek, Ivo; Žitný, Karel
1984
Matrix analysis for applied sciences. Vol. 2. Zbl 0613.15002
Marek, Ivo; Žitný, Karel
1986
On Lusternik’s method of improving convergence of nonlinear iterative sequences. Zbl 0195.43003
Marek, Ivo
1965
On square roots of $$M$$-operators. Zbl 0827.47018
Marek, Ivo
1995
Iterative aggregation/disaggregation method for computing stationary probability vectors of Markov type operators. Zbl 0874.65108
Marek, I.; Mayer, P.
1996
Ljusternik acceleration and the extrapolated S.O.R. method. Zbl 0367.65016
Marek, Ivo; Zitko, Jan
1977
Existence and uniqueness results for nonlinear cooperative systems. Zbl 1023.47052
Bohl, Erich; Marek, Ivo
2002
Iterative aggregation/disaggregation methods for computing stationary probability vectors of stochastic matrices can be finitely terminating. Zbl 1045.65031
Marek, Ivo; Mayer, Petr
2001
Kellogg’s iterations with minimizing parameters. Zbl 0138.39302
Marek, Ivo
1963
Generalization of the minimax principle for indecomposable operators. Zbl 0162.45703
Marek, Ivo
1967
Über einen speziellen Typus der linearen Gleichungen im Hilbertschen Raume. Zbl 0187.38202
Marek, Ivo
1964
A contribution to the Frobenius theory of positive operators. Zbl 0201.46401
Marek, Ivo
1970
Approximation of the principal eigenelements in K-positive non- selfadjoint eigenvalue problems. Zbl 0221.47004
Marek, Ivo
1971
Convergence of multi-level iterative aggregation-disaggregation methods. Zbl 1228.65016
Pultarová, Ivana; Marek, Ivo
2011
Convergence issues in the theory and practice of iterative aggregation/disaggregation methods. Zbl 1190.65013
Marek, Ivo; Mayer, Petr; Pultarová, Ivana
2009
Numerical solution of nonlinear equations by one-parameter imbedding methods. Zbl 0469.65032
Kubicek, Milan; Holodniok, Martin; Marek, Ivo
1981
Matrix analysis for applied sciences. Vol. 1. Zbl 0523.15003
Marek, Ivo; Zitny, Karel
1983
A stability theorem for a class of linear evolution systems. Zbl 1001.34049
Bohl, Erich; Marek, Ivo
1999
An inequality involving positive kernels. Zbl 0291.45011
Marek, Ivo
1974
Pseudoirreducible and pseudoprimitive bounded operators. Zbl 0731.65042
Marek, Ivo; Szyld, Daniel B.
1991
Perron roots of a convex combination of a cone preserving map and its adjoint. Zbl 0557.15008
Marek, Ivo
1984
Two-sided bounds for the spectral radius of a positive linear map. Zbl 0599.47053
Marek, I.; Žitný, K.
1984
Aggregation/disaggregation methods for $$p$$-cyclic Markov chains. Zbl 1002.65013
Marek, I.; Mayer, P.
2001
Physiology and pathology of iterative aggregation-disaggregation methods. Zbl 1265.65010
Pultarová, Ivana; Marek, Ivo
2011
Data fitting under eigenvalue constraints. Zbl 0695.65035
1989
On approximate methods in eigenvalue problems. Zbl 0167.13903
Marek, Ivo
1967
On a problem of mathematical physics. Zbl 0167.14001
Marek, Ivo
1966
An infinite dimensional analogue of R.S. Varga’s lemma. Zbl 0169.17201
Marek, Ivo
1967
Positivität und kritischer Zustand. Zbl 0174.44504
Marek, I.
1966
$$C$$-convergence of iterations of linear bounded operators. Zbl 0195.42903
Marek, Ivo
1961
Iterations of linear bounded operators and Kellogg’s iterations. Zbl 0196.44903
Marek, I.
1962
A note on $${\mathcal K}$$-stochastic operators. Zbl 0221.60037
Marek, Ivo
1971
On the SOR method for solving linear equations in Banach spaces. Zbl 0221.65096
Marek, Ivo
1969
Schwarz-like methods for approximate solving cooperative systems. Zbl 1249.65070
Marek, Ivo
2004
Input-output systems in Biology and Chemistry and a class of mathematical models describing them. Zbl 1099.34006
Bohl, Erich; Marek, Ivo
2005
Maxwell’s equations with incident wave as a field source. Zbl 0521.34033
Janovsky, V.; Marek, I.; Neuberg, J.
1982
Aggregation/disaggregation iterative methods applied to Leontev systems and Markov chains. Zbl 1090.15500
Marek, Ivo; Mayer, Petr
2002
Global convergence of an iterative aggregation/disaggregation method for computing stationary probability vectors of stochastic matrices. Zbl 0850.65068
Marek, I.; Mayer, P.
1995
Fredholm points of compactly perturbed bounded linear operators. Zbl 0399.47018
Marek, I.
1976
Perron root of a convex combination of a positive kernel and its adjoint. Zbl 0401.47013
Marek, I.
1978
Czech-US workshop on iterative methods and parallel computing. Part 1. Papers from the workshop, Milovy, Czech Republic, June 16–21, 1997. Zbl 0976.00029
1999
Quasi-birth-and-death processes, level-geometric distributions. An aggregation/disaggregation approach. Zbl 1019.65011
Marek, Ivo
2003
Iterative aggregation/disaggregation methods for computing some characteristics of Markov chains. Zbl 1031.65020
Marek, Ivo; Mayer, Petr
2001
Guaranteed upper-lower bounds on homogenized properties by FFT-based Galerkin method. Zbl 1423.74806
Vondřejc, Jaroslav; Zeman, Jan; Marek, Ivo
2015
An FFT-based Galerkin method for homogenization of periodic media. Zbl 1369.65151
Vondřejc, Jaroslav; Zeman, Jan; Marek, Ivo
2014
Analysis of a fast Fourier transform based method for modeling of heterogeneous materials. Zbl 1354.74235
Vondřejc, Jaroslav; Zeman, Jan; Marek, Ivo
2012
Convergence of multi-level iterative aggregation-disaggregation methods. Zbl 1228.65016
Pultarová, Ivana; Marek, Ivo
2011
Physiology and pathology of iterative aggregation-disaggregation methods. Zbl 1265.65010
Pultarová, Ivana; Marek, Ivo
2011
Accelerating a FFT-based solver for numerical homogenization of periodic media by conjugate gradients. Zbl 1197.65191
Zeman, Jan; Vondřejc, Jaroslav; Novák, Jan; Marek, Ivo
2010
Convergence issues in the theory and practice of iterative aggregation/disaggregation methods. Zbl 1190.65013
Marek, Ivo; Mayer, Petr; Pultarová, Ivana
2009
A note on local and global convergence analysis of iterative aggregation-disaggregation methods. Zbl 1087.65030
Marek, Ivo; Pultarová, Ivana
2006
Input-output systems in Biology and Chemistry and a class of mathematical models describing them. Zbl 1099.34006
Bohl, Erich; Marek, Ivo
2005
Algebraic Schwarz methods for the numerical solution of Markov chains. Zbl 1050.65030
Marek, Ivo; Szyld, Daniel B.
2004
Schwarz-like methods for approximate solving cooperative systems. Zbl 1249.65070
Marek, Ivo
2004
Convergence theory of some classes of iterative aggregation/disaggregation methods for computing stationary probability vectors of stochastic matrices. Zbl 1018.65048
Marek, Ivo; Mayer, Petr
2003
Iterative aggregation/disaggregation methods for computing some characteristics of Markov chains. II: Fast convergence. Zbl 1025.65012
Marek, Ivo
2003
Quasi-birth-and-death processes, level-geometric distributions. An aggregation/disaggregation approach. Zbl 1019.65011
Marek, Ivo
2003
Comparison of convergence of general stationary iterative methods for singular matrices. Zbl 1018.65041
Marek, Ivo; Szyld, Daniel B.
2002
Existence and uniqueness results for nonlinear cooperative systems. Zbl 1023.47052
Bohl, Erich; Marek, Ivo
2002
Aggregation/disaggregation iterative methods applied to Leontev systems and Markov chains. Zbl 1090.15500
Marek, Ivo; Mayer, Petr
2002
Iterative aggregation/disaggregation methods for computing stationary probability vectors of stochastic matrices can be finitely terminating. Zbl 1045.65031
Marek, Ivo; Mayer, Petr
2001
Aggregation/disaggregation methods for $$p$$-cyclic Markov chains. Zbl 1002.65013
Marek, I.; Mayer, P.
2001
Iterative aggregation/disaggregation methods for computing some characteristics of Markov chains. Zbl 1031.65020
Marek, Ivo; Mayer, Petr
2001
Superconvergence results on mildly structured triangulations. Zbl 0969.65097
Lakhany, A. M.; Marek, I.; Whiteman, J. R.
2000
Comparison theorems for the convergence factor of iterative methods for singular matrices. Zbl 0963.65036
Marek, Ivo; Szyld, Daniel B.
2000
A stability theorem for a class of linear evolution systems. Zbl 1001.34049
Bohl, Erich; Marek, Ivo
1999
Czech-US workshop on iterative methods and parallel computing. Part 1. Papers from the workshop, Milovy, Czech Republic, June 16–21, 1997. Zbl 0976.00029
1999
Convergence analysis of an iterative aggregation/disaggregation method for computing stationary probability vectors of stochastic matrices. Zbl 0937.65047
Marek, Ivo; Mayer, Petr
1998
Iterative aggregation/disaggregation method for computing stationary probability vectors of Markov type operators. Zbl 0874.65108
Marek, I.; Mayer, P.
1996
A nonlinear model involving $$M$$-operators. An amplification effect measured in the cascade of vision. Zbl 0833.65069
Bohl, Erich; Marek, Ivo
1995
A model of amplification. Zbl 0845.92003
Bohl, Erich; Marek, Ivo
1995
On square roots of $$M$$-operators. Zbl 0827.47018
Marek, Ivo
1995
Global convergence of an iterative aggregation/disaggregation method for computing stationary probability vectors of stochastic matrices. Zbl 0850.65068
Marek, I.; Mayer, P.
1995
Local convergence of the (exact and inexact) iterative aggregation method for linear systems and Markov operators. Zbl 0822.65019
Marek, Ivo; Szyld, Daniel B.
1994
Iterative and semi-iterative methods for computing stationary probability vectors of Markov operators. Zbl 0788.65142
Marek, Ivo; Szyld, Daniel B.
1993
Collatz-Wielandt numbers in general partially ordered spaces. Zbl 0777.47003
Marek, Ivo
1992
Pseudoirreducible and pseudoprimitive bounded operators. Zbl 0731.65042
Marek, Ivo; Szyld, Daniel B.
1991
Comparison theorems for weak splittings of bounded operators. Zbl 0694.65023
Marek, Ivo; Szyld, Daniel B.
1990
Splittings of M-operators: Irreducibility and the index of the iteration operator. Zbl 0714.65059
Marek, Ivo; Szyld, Daniel B.
1990
Data fitting under eigenvalue constraints. Zbl 0695.65035
1989
On the solution of singular linear systems of algebraic equations by semiiterative methods. Zbl 0655.65049
Eiermann, Michael; Marek, Ivo; Niethammer, Wilhelm
1988
Matrix analysis for applied sciences. Vol. 2. Zbl 0613.15002
Marek, Ivo; Žitný, Karel
1986
Equivalence of K-irreducibility concepts. Zbl 0558.47031
Marek, Ivo; Žitný, Karel
1984
Perron roots of a convex combination of a cone preserving map and its adjoint. Zbl 0557.15008
Marek, Ivo
1984
Two-sided bounds for the spectral radius of a positive linear map. Zbl 0599.47053
Marek, I.; Žitný, K.
1984
Matrix analysis for applied sciences. Vol. 1. Zbl 0523.15003
Marek, Ivo; Zitny, Karel
1983
Maxwell’s equations with incident wave as a field source. Zbl 0521.34033
Janovsky, V.; Marek, I.; Neuberg, J.
1982
Numerical solution of nonlinear equations by one-parameter imbedding methods. Zbl 0469.65032
Kubicek, Milan; Holodniok, Martin; Marek, Ivo
1981
Fundamental decay mode and asymptotic behaviour of positive semigroups. Zbl 0468.47025
Marek, Ivo
1980
Perron root of a convex combination of a positive kernel and its adjoint. Zbl 0401.47013
Marek, I.
1978
Ljusternik acceleration and the extrapolated S.O.R. method. Zbl 0367.65016
Marek, Ivo; Zitko, Jan
1977
Fredholm points of compactly perturbed bounded linear operators. Zbl 0399.47018
Marek, I.
1976
An inequality involving positive kernels. Zbl 0291.45011
Marek, Ivo
1974
Approximation of the principal eigenelements in K-positive non- selfadjoint eigenvalue problems. Zbl 0221.47004
Marek, Ivo
1971
A note on $${\mathcal K}$$-stochastic operators. Zbl 0221.60037
Marek, Ivo
1971
Frobenius theory of positive operators: Comparison theorems and applications. Zbl 0219.47022
Marek, Ivo
1970
A contribution to the Frobenius theory of positive operators. Zbl 0201.46401
Marek, Ivo
1970
Nested bounds for the spectral radius. Zbl 0221.65063
Marek, Ivo; Varga, Richard S.
1969
On the polynomial eigenvalue problem with positive operators and location of the spectral radius. Zbl 0175.13701
Marek, Ivo
1969
On the SOR method for solving linear equations in Banach spaces. Zbl 0221.65096
Marek, Ivo
1969
$$u_ 0$$-positive operators and some of their applications. Zbl 0149.34901
Marek, Ivo
1967
Generalization of the minimax principle for indecomposable operators. Zbl 0162.45703
Marek, Ivo
1967
On approximate methods in eigenvalue problems. Zbl 0167.13903
Marek, Ivo
1967
An infinite dimensional analogue of R.S. Varga’s lemma. Zbl 0169.17201
Marek, Ivo
1967
Spektrale Eigenschaften der K-positiven Operatoren und Einschließungssätze für den Spektralradius. Zbl 0152.33701
Marek, Ivo
1966
On a problem of mathematical physics. Zbl 0167.14001
Marek, Ivo
1966
Positivität und kritischer Zustand. Zbl 0174.44504
Marek, I.
1966
On Lusternik’s method of improving convergence of nonlinear iterative sequences. Zbl 0195.43003
Marek, Ivo
1965
On the approximative construction of the eigenvectors corresponding to a pair of complex conjugated eigenvalues. Zbl 0243.65024
Marek, Ivo
1964
Über einen speziellen Typus der linearen Gleichungen im Hilbertschen Raume. Zbl 0187.38202
Marek, Ivo
1964
A note on K-positive operators. Zbl 0201.16704
Marek, Ivo
1963
Kellogg’s iterations with minimizing parameters. Zbl 0138.39302
Marek, Ivo
1963
Iterations of linear bounded operators in non self-adjoint eigenvalue problems and Kellogg’s iteration process. Zbl 0192.23701
Marek, I.
1962
On some spectral properties of Radon-Nikolski operators and their generalizations. Zbl 0119.11403
Marek, Ivo
1962
Iterations of linear bounded operators and Kellogg’s iterations. Zbl 0196.44903
Marek, I.
1962
$$C$$-convergence of iterations of linear bounded operators. Zbl 0195.42903
Marek, Ivo
1961
all top 5

### Cited by 484 Authors

 39 Marek, Ivo 27 Wei, Yimin 14 Schneider, Matti 13 Mokhtar-Kharroubi, Mustapha 12 Szyld, Daniel B. 8 Böhlke, Thomas 8 Hadjidimos, Apostolos 7 Climent, Joan-Josep 7 Inaba, Hisashi 7 Kang, Hao 7 Vondřejc, Jaroslav 6 Kabel, Matthias 6 Latrach, Khalid 6 Noutsos, Dimitrios 6 Perea, Carmen 6 Pultarová, Ivana 6 Ruan, Shigui 6 Wu, Hebing 6 Zítko, Jan 5 Diao, Huaian 5 Reese, Stefanie 5 Schneider, Hans 5 Segurado, Javier 5 Svendsen, Bob 5 Zhang, Naimin 5 Zhu, Guangtian 4 Bohl, Erich 4 Kochmann, Julian 4 Kuniya, Toshikazu 4 Li, Xiezhang 4 Li, Xuezhi 4 Lucarini, S. 4 Mayer, Petr 4 Tzoumas, Michael G. 4 Zeman, Jan 4 Zhou, Jieyong 3 Baliarsingh, Alekha Kumar 3 Barker, George Phillip 3 Cao, Guangxi 3 Cui, Xiaoke 3 Fritzen, Felix 3 Frommer, Andreas 3 Gierden, Christian 3 Guo, Hailong 3 Hanke-Bourgeois, Martin 3 Huang, Ting-Zhu 3 Ivanov, B. A. 3 Kuang, Zhifeng 3 Li, Yuwen 3 Lin, Lijing 3 Ma, Haifeng 3 Ma, Ran 3 Merkert, Dennis 3 Mincsovics, Miklós Emil 3 Mishra, Debasisha 3 Mishra, Nachiketa 3 Monchiet, Vincent 3 Neumann, Michael 3 Ospald, Felix 3 Qiu, Zhipeng 3 Sidi, Avram 3 Sivakumar, Koratti Chengalrayan 3 Song, Yongzhong 3 Wicht, Daniel 3 Wulfinghoff, Stephan 2 Abbas, Karim 2 Akesbi, Samir 2 Andrä, Heiko 2 Bellis, Cédric 2 Benzi, Michele 2 Bergmann, Ronny 2 Bonnet, Guy 2 Cao, Weiming 2 Cao, Zhihao 2 De Sterck, Hans 2 Du, Yu 2 Eiermann, Michael 2 Farkas, József Zoltán 2 Förster, Karl-Heinz 2 Gajek, Sebastian 2 Gao, Niushan 2 Guo, Guangbao 2 Guo, Ting 2 Gupur, Geni 2 Hense, Burkhard A. 2 Huang, Yunqing 2 Huo, Xi 2 Jena, Litismita 2 Kalauch, Anke 2 Köbler, Jonathan 2 Kohno, Toshiyuki 2 Kojecký, Tomáš 2 Koliha, Jerry J. 2 Kumar Giri, Chinmay 2 Ladecký, Martin 2 Lavanya, S. R. 2 Marsikova, Vera 2 Micheletti, Stefano 2 Miller, Killian 2 Mosić, Dijana ...and 384 more Authors
all top 5

### Cited in 114 Serials

 54 Linear Algebra and its Applications 27 Journal of Computational and Applied Mathematics 25 Computer Methods in Applied Mechanics and Engineering 22 Applied Mathematics and Computation 19 Computational Mechanics 18 Aplikace Matematiky 11 Numerical Linear Algebra with Applications 10 Journal of Mathematical Biology 10 Numerische Mathematik 9 Computers & Mathematics with Applications 9 Journal of Mathematical Analysis and Applications 6 Mathematics of Computation 6 International Journal for Numerical Methods in Engineering 5 Computing 5 Journal of Scientific Computing 5 Numerical Algorithms 4 Journal of Computational Physics 4 BIT 4 Czechoslovak Mathematical Journal 4 Journal of Differential Equations 4 Numerical Functional Analysis and Optimization 4 International Journal of Computer Mathematics 4 Nonlinear Analysis. Real World Applications 3 Linear and Multilinear Algebra 3 Mathematical Biosciences 3 Transport Theory and Statistical Physics 3 Calcolo 3 Journal of Functional Analysis 3 Journal of Soviet Mathematics 3 Acta Applicandae Mathematicae 3 Applied Numerical Mathematics 3 Applied Mathematics Letters 3 Applications of Mathematics 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Applicable Analysis 2 Archiv der Mathematik 2 Mathematical Systems Theory 2 Acta Mathematicae Applicatae Sinica. English Series 2 Japan Journal of Industrial and Applied Mathematics 2 Applied Mathematical Modelling 2 Journal of Elasticity 2 Mathematical Problems in Engineering 2 Positivity 2 European Journal of Mechanics. B. Fluids 2 Discrete and Continuous Dynamical Systems. Series B 2 Communications on Pure and Applied Analysis 2 Journal of Applied Mathematics and Computing 2 Science China. Mathematics 2 Numerical Algebra, Control and Optimization 2 Advances in Operator Theory 1 Acta Mechanica 1 Computer Physics Communications 1 International Journal of Engineering Science 1 Inverse Problems 1 Journal of Statistical Physics 1 Mathematical Methods in the Applied Sciences 1 Physica A 1 Ukrainian Mathematical Journal 1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Automatica 1 Functional Analysis and its Applications 1 Glasgow Mathematical Journal 1 Integral Equations and Operator Theory 1 Kybernetika 1 Mathematische Zeitschrift 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the American Mathematical Society 1 Results in Mathematics 1 SIAM Journal on Numerical Analysis 1 Siberian Mathematical Journal 1 Theoretical Computer Science 1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Optimization 1 Constructive Approximation 1 Journal of Theoretical Probability 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Dynamics and Differential Equations 1 Indagationes Mathematicae. New Series 1 Journal of Nonlinear Science 1 SIAM Journal on Scientific Computing 1 The Journal of Analysis 1 Applied Mathematics. Series B (English Edition) 1 Applied and Computational Harmonic Analysis 1 Computational and Applied Mathematics 1 Advances in Computational Mathematics 1 Discrete and Continuous Dynamical Systems 1 Mathematical Population Studies 1 Computing and Visualization in Science 1 Abstract and Applied Analysis 1 European Journal of Mechanics. A. Solids 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Engineering Computations 1 Journal of Evolution Equations 1 Stochastic Models 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Boundary Value Problems 1 Matematicko-Fyzikálny Časopis, Slovenskej Akadémie Vied ...and 14 more Serials
all top 5

### Cited in 37 Fields

 210 Numerical analysis (65-XX) 83 Operator theory (47-XX) 80 Linear and multilinear algebra; matrix theory (15-XX) 64 Mechanics of deformable solids (74-XX) 62 Partial differential equations (35-XX) 48 Biology and other natural sciences (92-XX) 30 Probability theory and stochastic processes (60-XX) 23 Statistical mechanics, structure of matter (82-XX) 19 Integral equations (45-XX) 15 Ordinary differential equations (34-XX) 15 Fluid mechanics (76-XX) 12 Functional analysis (46-XX) 10 Operations research, mathematical programming (90-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Combinatorics (05-XX) 3 Computer science (68-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistics (62-XX) 2 Optics, electromagnetic theory (78-XX) 1 Field theory and polynomials (12-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-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 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX)

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