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Author ID: mayer.gunter Recent zbMATH articles by "Mayer, Günter"
Published as: Mayer, Günter; Mayer, G.
Homepage: http://www.math.uni-rostock.de/~mayer/
External Links: IdRef
Documents Indexed: 88 Publications since 1984, including 1 Book
Reviewing Activity: 165 Reviews
Co-Authors: 15 Co-Authors with 50 Joint Publications
482 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

60 Publications have been cited 523 times in 357 Documents Cited by Year
Convergence of relaxed parallel multisplitting methods. Zbl 0676.65022
Frommer, Andreas; Mayer, Günter
150
1989
Interval analysis: Theory and applications. Zbl 0995.65056
Alefeld, Götz; Mayer, Günter
85
2000
On the convergence of powers of interval matrices. Zbl 0555.65020
Mayer, Günter
16
1984
Epsilon-inflation in verification algorithms. Zbl 0839.65059
Mayer, Günter
16
1995
Interval analysis and automatic result verification. Zbl 1373.65036
Mayer, Günter
16
2017
The Cholesky method for interval data. Zbl 0796.65032
Alefeld, G.; Mayer, G.
15
1993
On the theory and practice of multisplitting methods in parallel computation. Zbl 0763.65019
Frommer, A.; Mayer, G.
15
1992
Parallel interval multisplittings. Zbl 0682.65016
Frommer, Andreas; Mayer, Günter
14
1989
On the shape of the symmetric, persymmetric, and skew-symmetric solution set. Zbl 0873.15003
Alefeld, Götz; Kreinovich, Vladik; Mayer, Günter
12
1997
On the symmetric and unsymmetric solution set of interval systems. Zbl 0834.65012
Alefeld, Götz; Mayer, Günter
12
1995
On the solution sets of particular classes of linear interval systems. Zbl 1019.65023
Alefeld, Götz; Kreinovich, Vladik; Mayer, Günter
11
2003
Result verification for eigenvectors and eigenvalues. Zbl 0813.65077
Mayer, G.
10
1994
The shape of the solution set for systems of interval linear equations with dependent coefficients. Zbl 0907.15003
Alefeld, Götz; Kreinovich, Vladik; Mayer, Günter
10
1998
A new criterion to guarantee the feasibility of the interval Gaussian algorithm. Zbl 0777.65012
Frommer, A.; Mayer, G.
8
1993
On the applicability of the interval Gaussian algorithm. Zbl 0933.65027
Mayer, Günter; Rohn, Jiří
8
1998
Comparison theorems for iterative methods based on strong splittings. Zbl 0614.65030
Mayer, Günter
7
1987
Enclosing solutions of singular interval systems iteratively. Zbl 1079.65027
Alefeld, Götz; Mayer, Günter
6
2005
On symmetric solution sets. Zbl 1038.65020
Alefeld, G.; Kreinovich, V.; Mayer, G.
6
2003
On regular and singular interval systems. Zbl 1108.65018
Mayer, Günter
6
2007
A contribution to the feasibility of the interval Gaussian algorithm. Zbl 1086.65023
Mayer, Günter
6
2006
On the convergence of powers of interval matrices. II. Zbl 0565.65022
Mayer, Günter
5
1985
A unified approach to enclosure methods for eigenpairs. Zbl 0817.65028
Mayer, G.
5
1994
On the fixed points of the interval function \([f]([x])=[A][x]+[b]\). Zbl 1022.65036
Mayer, Günter; Warnke, Ingo
5
2003
On the R-order of Newton-like methods for enclosing solutions of nonlinear equations. Zbl 0691.65031
Frommer, Andreas; Mayer, Günter
5
1990
Block colouring schemes for the SOR method on local memory parallel computers. Zbl 0699.65020
Block, U.; Frommer, A.; Mayer, G.
5
1990
A necessary and sufficient criterion to guarantee feasibility of the interval Gaussian algorithm for a class of matrices. Zbl 0782.65044
Mayer, Günter; Pieper, Lars
4
1993
Enclosures for eigenvalues and eigenvectors. Zbl 0838.65036
Mayer, Günter
4
1992
The shape of the symmetric solution set. Zbl 0841.15002
Alefeld, Götz; Kreinovich, Vladik; Mayer, Günter
4
1996
An Oettli-Prager-like theorem for the symmetric solution set and for related solution sets. Zbl 1262.15003
Mayer, Günter
4
2012
New criteria for the feasibility of the Cholesky method with interval data. Zbl 1176.65023
Alefeld, G.; Mayer, G.
4
2008
Über Iterationsverfahren zur Lösungseinschließung linearer Gleichungssysteme mit ungenauen Eingangsdaten. Zbl 0598.65014
Mayer, G.
3
1986
New criteria for the semiconvergence of interval matrices. Zbl 1129.65029
Arndt, Hans-Robert; Mayer, Günter
3
2005
Epsilon-inflation with contractive interval functions. Zbl 0938.65058
Mayer, Günter
3
1998
On the solutions of the interval system \([x] = [a][x] + [b]\). Zbl 1074.65049
Arndt, Hans-Robert; Mayer, Günter
2
2005
On Newton-like methods to enclose solutions of nonlinear equations. Zbl 0669.65039
Mayer, Günter
2
1989
Enclosing the solution set of linear systems with inaccurate data by iterative methods based on incomplete LU-decompositions. Zbl 0588.65027
Mayer, G.
2
1985
Efficient methods for enclosing solutions of systems of nonlinear equations. Zbl 0721.65025
Frommer, A.; Mayer, G.
2
1990
A computer aided existence and uniqueness proof for an inverse matrix eigenvalue problem. Zbl 0834.65027
Alefeld, Götz; Mayer, Günter
2
1994
Success in epsilon-inflation. Zbl 0848.65035
Mayer, Günter
2
1996
Safe bounds for the solutions of nonlinear problems using a parallel multisplitting method. Zbl 0685.65045
Frommer, A.; Mayer, G.
2
1989
Theoretische und praktische Ergebnisse zu Multisplitting-Verfahren auf Parallelrechnern. (Theoretical and practical results of multisplitting methods on parallel computers). Zbl 0714.65038
Frommer, A.; Mayer, G.
2
1990
On the limit of the total step method in interval analysis. Zbl 0990.65042
Mayer, Günter; Warnke, Ingo
2
2001
On the semi-convergence of interval matrices. Zbl 1071.65036
Arndt, Hans-Robert; Mayer, Günter
2
2004
Verification algorithms for generalized singular values. Zbl 0939.65065
Alefeld, Götz; Hoffmann, Rolf; Mayer, Günter
2
1999
On a unified representation of some interval analytic algorithms. Zbl 0861.65049
Mayer, Günter
2
1995
On the shape of the fixed points of \([f]([x])=[A][x]+[b]\). Zbl 0987.65033
Mayer, G.; Warnke, I.
2
2001
Enclosing the solution set of linear systems with inaccurate data by iterative methods based on incomplete LU-decompositions. Zbl 0565.65015
Mayer, G.
1
1985
On the convergence of the Neumann series in interval analysis. Zbl 0572.65019
Mayer, Günter
1
1985
On the asymptotic convergence factor of the total step method in interval computation. Zbl 0619.65024
Mayer, Günter
1
1987
Linear systems with \(\Omega\)-diagonally dominant matrices and related ones. Zbl 0774.65013
Frommer, A.; Mayer, G.
1
1993
Two-stage interval iterative methods. Zbl 0790.65020
Frommer, A.; Mayer, G.
1
1993
On multisplitting methods for band matrices. Zbl 0878.65024
Alefeld, Götz; Lenhardt, Ingrid; Mayer, Günter
1
1997
On some principle verification numerics. (Über ein Prinzip in der Verifikationsnumerik.) Zbl 0850.65104
Mayer, G.
1
1995
Symmetric linear systems with perturbed input data. Zbl 0900.65132
Alefeld, G.; Kreinovich, V.; Mayer, G.
1
1996
Numerical validation for an inverse matrix eigenvalue problem. Zbl 0813.65076
Alefeld, G.; Gienger, A.; Mayer, G.
1
1994
Iterationsverfahren für lineare Gleichungssysteme auf Parallelrechnern. (Iterative methods for systems of linear equations on parallel computers). Zbl 0735.65013
Frommer, A.; Mayer, G.
1
1991
Some remarks on two interval-arithmetic modifications of the Newton method. Zbl 0757.65061
Mayer, G.
1
1992
Grundbegriffe der Intervallrechnung. (Basic ideas of interval analysis). Zbl 0689.65026
Mayer, G.
1
1989
A new way to describe the symmetric solution set \(S_{\text{sym}}\) of linear interval systems. Zbl 0998.65038
Mayer, G.
1
2001
Three short descriptions of the symmetric and of the skew-symmetric solution set. Zbl 1312.15003
Mayer, Günter
1
2015
Interval analysis and automatic result verification. Zbl 1373.65036
Mayer, Günter
16
2017
Three short descriptions of the symmetric and of the skew-symmetric solution set. Zbl 1312.15003
Mayer, Günter
1
2015
An Oettli-Prager-like theorem for the symmetric solution set and for related solution sets. Zbl 1262.15003
Mayer, Günter
4
2012
New criteria for the feasibility of the Cholesky method with interval data. Zbl 1176.65023
Alefeld, G.; Mayer, G.
4
2008
On regular and singular interval systems. Zbl 1108.65018
Mayer, Günter
6
2007
A contribution to the feasibility of the interval Gaussian algorithm. Zbl 1086.65023
Mayer, Günter
6
2006
Enclosing solutions of singular interval systems iteratively. Zbl 1079.65027
Alefeld, Götz; Mayer, Günter
6
2005
New criteria for the semiconvergence of interval matrices. Zbl 1129.65029
Arndt, Hans-Robert; Mayer, Günter
3
2005
On the solutions of the interval system \([x] = [a][x] + [b]\). Zbl 1074.65049
Arndt, Hans-Robert; Mayer, Günter
2
2005
On the semi-convergence of interval matrices. Zbl 1071.65036
Arndt, Hans-Robert; Mayer, Günter
2
2004
On the solution sets of particular classes of linear interval systems. Zbl 1019.65023
Alefeld, Götz; Kreinovich, Vladik; Mayer, Günter
11
2003
On symmetric solution sets. Zbl 1038.65020
Alefeld, G.; Kreinovich, V.; Mayer, G.
6
2003
On the fixed points of the interval function \([f]([x])=[A][x]+[b]\). Zbl 1022.65036
Mayer, Günter; Warnke, Ingo
5
2003
On the limit of the total step method in interval analysis. Zbl 0990.65042
Mayer, Günter; Warnke, Ingo
2
2001
On the shape of the fixed points of \([f]([x])=[A][x]+[b]\). Zbl 0987.65033
Mayer, G.; Warnke, I.
2
2001
A new way to describe the symmetric solution set \(S_{\text{sym}}\) of linear interval systems. Zbl 0998.65038
Mayer, G.
1
2001
Interval analysis: Theory and applications. Zbl 0995.65056
Alefeld, Götz; Mayer, Günter
85
2000
Verification algorithms for generalized singular values. Zbl 0939.65065
Alefeld, Götz; Hoffmann, Rolf; Mayer, Günter
2
1999
The shape of the solution set for systems of interval linear equations with dependent coefficients. Zbl 0907.15003
Alefeld, Götz; Kreinovich, Vladik; Mayer, Günter
10
1998
On the applicability of the interval Gaussian algorithm. Zbl 0933.65027
Mayer, Günter; Rohn, Jiří
8
1998
Epsilon-inflation with contractive interval functions. Zbl 0938.65058
Mayer, Günter
3
1998
On the shape of the symmetric, persymmetric, and skew-symmetric solution set. Zbl 0873.15003
Alefeld, Götz; Kreinovich, Vladik; Mayer, Günter
12
1997
On multisplitting methods for band matrices. Zbl 0878.65024
Alefeld, Götz; Lenhardt, Ingrid; Mayer, Günter
1
1997
The shape of the symmetric solution set. Zbl 0841.15002
Alefeld, Götz; Kreinovich, Vladik; Mayer, Günter
4
1996
Success in epsilon-inflation. Zbl 0848.65035
Mayer, Günter
2
1996
Symmetric linear systems with perturbed input data. Zbl 0900.65132
Alefeld, G.; Kreinovich, V.; Mayer, G.
1
1996
Epsilon-inflation in verification algorithms. Zbl 0839.65059
Mayer, Günter
16
1995
On the symmetric and unsymmetric solution set of interval systems. Zbl 0834.65012
Alefeld, Götz; Mayer, Günter
12
1995
On a unified representation of some interval analytic algorithms. Zbl 0861.65049
Mayer, Günter
2
1995
On some principle verification numerics. (Über ein Prinzip in der Verifikationsnumerik.) Zbl 0850.65104
Mayer, G.
1
1995
Result verification for eigenvectors and eigenvalues. Zbl 0813.65077
Mayer, G.
10
1994
A unified approach to enclosure methods for eigenpairs. Zbl 0817.65028
Mayer, G.
5
1994
A computer aided existence and uniqueness proof for an inverse matrix eigenvalue problem. Zbl 0834.65027
Alefeld, Götz; Mayer, Günter
2
1994
Numerical validation for an inverse matrix eigenvalue problem. Zbl 0813.65076
Alefeld, G.; Gienger, A.; Mayer, G.
1
1994
The Cholesky method for interval data. Zbl 0796.65032
Alefeld, G.; Mayer, G.
15
1993
A new criterion to guarantee the feasibility of the interval Gaussian algorithm. Zbl 0777.65012
Frommer, A.; Mayer, G.
8
1993
A necessary and sufficient criterion to guarantee feasibility of the interval Gaussian algorithm for a class of matrices. Zbl 0782.65044
Mayer, Günter; Pieper, Lars
4
1993
Linear systems with \(\Omega\)-diagonally dominant matrices and related ones. Zbl 0774.65013
Frommer, A.; Mayer, G.
1
1993
Two-stage interval iterative methods. Zbl 0790.65020
Frommer, A.; Mayer, G.
1
1993
On the theory and practice of multisplitting methods in parallel computation. Zbl 0763.65019
Frommer, A.; Mayer, G.
15
1992
Enclosures for eigenvalues and eigenvectors. Zbl 0838.65036
Mayer, Günter
4
1992
Some remarks on two interval-arithmetic modifications of the Newton method. Zbl 0757.65061
Mayer, G.
1
1992
Iterationsverfahren für lineare Gleichungssysteme auf Parallelrechnern. (Iterative methods for systems of linear equations on parallel computers). Zbl 0735.65013
Frommer, A.; Mayer, G.
1
1991
On the R-order of Newton-like methods for enclosing solutions of nonlinear equations. Zbl 0691.65031
Frommer, Andreas; Mayer, Günter
5
1990
Block colouring schemes for the SOR method on local memory parallel computers. Zbl 0699.65020
Block, U.; Frommer, A.; Mayer, G.
5
1990
Efficient methods for enclosing solutions of systems of nonlinear equations. Zbl 0721.65025
Frommer, A.; Mayer, G.
2
1990
Theoretische und praktische Ergebnisse zu Multisplitting-Verfahren auf Parallelrechnern. (Theoretical and practical results of multisplitting methods on parallel computers). Zbl 0714.65038
Frommer, A.; Mayer, G.
2
1990
Convergence of relaxed parallel multisplitting methods. Zbl 0676.65022
Frommer, Andreas; Mayer, Günter
150
1989
Parallel interval multisplittings. Zbl 0682.65016
Frommer, Andreas; Mayer, Günter
14
1989
On Newton-like methods to enclose solutions of nonlinear equations. Zbl 0669.65039
Mayer, Günter
2
1989
Safe bounds for the solutions of nonlinear problems using a parallel multisplitting method. Zbl 0685.65045
Frommer, A.; Mayer, G.
2
1989
Grundbegriffe der Intervallrechnung. (Basic ideas of interval analysis). Zbl 0689.65026
Mayer, G.
1
1989
Comparison theorems for iterative methods based on strong splittings. Zbl 0614.65030
Mayer, Günter
7
1987
On the asymptotic convergence factor of the total step method in interval computation. Zbl 0619.65024
Mayer, Günter
1
1987
Über Iterationsverfahren zur Lösungseinschließung linearer Gleichungssysteme mit ungenauen Eingangsdaten. Zbl 0598.65014
Mayer, G.
3
1986
On the convergence of powers of interval matrices. II. Zbl 0565.65022
Mayer, Günter
5
1985
Enclosing the solution set of linear systems with inaccurate data by iterative methods based on incomplete LU-decompositions. Zbl 0588.65027
Mayer, G.
2
1985
Enclosing the solution set of linear systems with inaccurate data by iterative methods based on incomplete LU-decompositions. Zbl 0565.65015
Mayer, G.
1
1985
On the convergence of the Neumann series in interval analysis. Zbl 0572.65019
Mayer, Günter
1
1985
On the convergence of powers of interval matrices. Zbl 0555.65020
Mayer, Günter
16
1984
all top 5

Cited by 412 Authors

28 Bai, Zhongzhi
26 Mayer, Günter
14 Frommer, Andreas
13 Zhang, Litao
12 Zheng, Hua
11 Evans, David John
11 Gu, Tongxiang
10 Alefeld, Götz E.
9 Hladík, Milan
9 Yun, Jae Heon
8 Li, Cuixia
8 Wang, Deren
7 Cao, Zhihao
7 Vong, Seakweng
7 Wu, Shiliang
6 Barton, Paul I.
6 Ghanbari, Mojtaba
6 Huang, Ting-Zhu
6 Kreinovich, Vladik Yakovlevich
6 Li, Wen
6 Liu, Xingping
6 Popova, Evgeniya D.
5 Liu, Zhongyun
5 Mitsos, Alexander
4 Allahviranloo, Tofigh
4 Cao, Yang
4 Chang, Dawei
4 Hashemi, Behnam
4 Kosheleva, Olga M.
4 Lur, Yung-Yih
4 Migallón, Violeta
4 Oh, Seyoung T.
4 Penadés, José
4 Song, Yongzhong
4 Szyld, Daniel B.
4 Wang, Haijun
4 Wang, Xiang
4 Wang, Zhengyu
4 Wen, Ruiping
4 Yin, Junfeng
4 Zhang, Lili
3 Arndt, Hans-Robert
3 Babenko, Ekaterina A.
3 Bánhelyi, Balázs
3 Dehghan Takht Fooladi, Mehdi
3 Kanno, Yoshihiro
3 Kim, Eun Heui
3 Li, Jian-Lei
3 Liu, Ling
3 Ma, Changfeng
3 Martynyuk, Anatoliĭ Andriĭovych
3 Neumaier, Arnold
3 Pang, Chin-Tzong
3 Sharyĭ, Sergeĭ Petrovich
3 Takewaki, Izuru
3 Wang, An
3 Zuo, Xianyu
2 Bompadre, Agustín
2 Bortolussi, Luca
2 Bozkurt, Hacer
2 Cao, Dexin
2 Cao, Guangxi
2 Chachuat, Benoît
2 Chen, Xiaojun
2 Climent, Joan-Josep
2 Csendes, Tibor
2 Daney, David
2 Fukushima, Masao
2 Fuster, Robert
2 Garloff, Jürgen
2 Guo, Xin-Lan
2 Hajarian, Masoud
2 Hillston, Jane
2 Jia, Lu
2 Kearfott, Baker
2 Leela-Apiradee, Worrawate
2 Lemonidis, Panayiotis
2 Li, Chenliang
2 Li, Zhe
2 Liang, Zhaozheng
2 Liu, Hao
2 Meng, Guoyan
2 Miyajima, Shinya
2 Perea, Carmen
2 Ren, Huan
2 Rump, Siegfried Michael
2 Schaber, Spencer D.
2 Schäfer, Uwe
2 Schwandt, Hartmut
2 Shi, Quan
2 Shih, Mauhsiang
2 Skalna, Iwona
2 Sriboonchitta, Songsak
2 Sun, Jiachang
2 Tang, Xiao-Bin
2 Tortosa, Leandro
2 Tran, Nam-Van
2 Tsigaridas, Elias P.
2 Van den Berg, Imme Pieter
2 Wang, Chuanlong
...and 312 more Authors
all top 5

Cited in 102 Serials

34 Journal of Computational and Applied Mathematics
31 Applied Mathematics and Computation
26 Linear Algebra and its Applications
19 International Journal of Computer Mathematics
16 Numerical Algorithms
13 Computers & Mathematics with Applications
12 Reliable Computing
11 Journal of Global Optimization
10 Computing
7 Applied Numerical Mathematics
7 Japan Journal of Industrial and Applied Mathematics
6 Calcolo
6 Numerische Mathematik
5 Computer Methods in Applied Mechanics and Engineering
5 Linear and Multilinear Algebra
5 Applied Mathematical Modelling
4 Fuzzy Sets and Systems
4 Information Sciences
4 Numerical Linear Algebra with Applications
4 Computational and Applied Mathematics
4 Parallel Algorithms and Applications
4 Soft Computing
4 Journal of Applied Mathematics and Computing
3 Automatica
3 Journal of Optimization Theory and Applications
3 Optimization
3 Applied Mathematics Letters
3 International Applied Mechanics
3 Optimization Letters
2 Mathematics of Computation
2 BIT
2 International Journal for Numerical Methods in Engineering
2 Numerical Functional Analysis and Optimization
2 SIAM Journal on Matrix Analysis and Applications
2 Applications of Mathematics
2 Mathematical Programming. Series A. Series B
2 Applied Mathematics. Series B (English Edition)
2 Filomat
2 ELA. The Electronic Journal of Linear Algebra
2 Journal of Inequalities and Applications
2 International Journal of Applied Mathematics and Computer Science
2 SIAM Journal on Applied Dynamical Systems
2 Advances in Difference Equations
2 Axioms
1 International Journal of Theoretical Physics
1 Journal of Mathematical Analysis and Applications
1 Journal of Mathematical Physics
1 Physica A
1 Aplikace Matematiky
1 Collectanea Mathematica
1 Mathematische Nachrichten
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Proceedings of the Japan Academy. Series A
1 Theoretical Computer Science
1 Mathematica Numerica Sinica
1 Systems & Control Letters
1 Operations Research Letters
1 Applied Mathematics and Mechanics. (English Edition)
1 Journal of Symbolic Computation
1 Information and Computation
1 Facta Universitatis. Series Mathematics and Informatics
1 COMPEL
1 Neural Networks
1 Computational Statistics
1 European Journal of Operational Research
1 SIAM Journal on Optimization
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Communications in Numerical Methods in Engineering
1 Turkish Journal of Mathematics
1 Constraints
1 International Journal of Computational Fluid Dynamics
1 Nonlinear Dynamics
1 Wuhan University Journal of Natural Sciences (WUJNS)
1 Discrete Dynamics in Nature and Society
1 Regular and Chaotic Dynamics
1 Communications in Nonlinear Science and Numerical Simulation
1 CEJOR. Central European Journal of Operations Research
1 Differential Equations
1 Computational Methods in Applied Mathematics
1 Journal of Applied Mathematics
1 Journal of Numerical Mathematics
1 Central European Journal of Mathematics
1 Fuzzy Optimization and Decision Making
1 Mediterranean Journal of Mathematics
1 Computational Management Science
1 Journal of Industrial and Management Optimization
1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
1 Acta Mechanica Sinica
1 Proceedings of the Estonian Academy of Sciences
1 Numerical Mathematics: Theory, Methods and Applications
1 Bulletin of Mathematical Analysis and Applications
1 International Journal of Numerical Methods and Applications
1 Caspian Journal of Mathematical Sciences
1 Journal of Applied Analysis and Computation
1 Journal of Computational Dynamics
1 Journal of Mathematics
1 East Asian Journal on Applied Mathematics
1 Special Matrices
1 Journal of Function Spaces
1 Minimax Theory and its Applications
...and 2 more Serials

Citations by Year