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Heindl, Gerhard

Co-Author Distance
Author ID: heindl.gerhard Recent zbMATH articles by "Heindl, Gerhard"
Published as: Heindl, Gerhard; Heindl, G.
Documents Indexed: 42 Publications since 1969
Co-Authors: 12 Co-Authors with 12 Joint Publications
640 Co-Co-Authors
all top 5

Co-Authors

30 single-authored
4 Reinhart, Ewald
3 Kreinovich, Vladik Yakovlevich
1 Alefeld, Götz E.
1 Borovac, Stefan
1 Bouchon-Meunier, Bernadette
1 Deuflhard, Peter
1 Frommer, Andreas
1 Harris, Bernard
1 Köhler, Günter
1 Lakeyev, Anatoliĭ Valentinovich
1 Mayer, Jan
1 Rifqi, Maria
all top 5

Serials

5 Reliable Computing
3 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
3 Zeitschrift für Vermessungswesen
2 Bayerische Akademie der Wissenschaften. Mathematisch-Naturwissenschaftliche Klasse. Sitzungsberichte
2 Journal of Computational and Applied Mathematics
1 Journal für die Reine und Angewandte Mathematik
1 Manuscripta Mathematica
1 SIAM Journal on Numerical Analysis
1 ETNA. Electronic Transactions on Numerical Analysis
1 Geombinatorics
1 Forum Geometricorum
all top 5

Fields

27 Numerical analysis (65-XX)
10 Approximations and expansions (41-XX)
5 Operations research, mathematical programming (90-XX)
3 Geophysics (86-XX)
2 Operator theory (47-XX)
2 Geometry (51-XX)
2 Statistics (62-XX)
2 Computer science (68-XX)
1 Mathematical logic and foundations (03-XX)
1 Real functions (26-XX)
1 Ordinary differential equations (34-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Probability theory and stochastic processes (60-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Systems theory; control (93-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

15 Publications have been cited 162 times in 157 Documents Cited by ▼ Year ▼
Affine invariant convergence theorems for Newton’s method and extensions to related methods. Zbl 0395.65028
Deuflhard, P.; Heindl, G.
124
1979
On the existence theorems of Kantorovich, Miranda and Borsuk. Zbl 1080.47042
Alefeld, Götz; Frommer, Andreas; Heindl, Gerhard; Mayer, Jan
9
2004
Interpolation and approximation by piecewise quadratic \(C^1\)-functions of two variables. Zbl 0424.41020
Heindl, Gerhard
9
1979
Solving linear interval systems is NP-hard even if we exclude overflow and underflow. Zbl 0920.65012
Heindl, Gerhard; Kreinovich, Vladik; Lakeyev, Anatoly V.
3
1998
G-Optimale Entscheidungen bei mehrfacher Zielsetzung. Zbl 0399.90002
Heindl, G.
3
1977
How to compute a triangle with prescribed lengths of its internal angle bisectors. Zbl 1362.51007
Heindl, Gerhard
2
2016
Computable hypernorm bounds for the error of an approximate solution to a system of nonlinear equations. Zbl 0839.65069
Heindl, G.
2
1992
A method for verified computing of inner and outer approximations of the interval hull of a tolerance polyhedron. Zbl 0849.65022
Heindl, Gerhard
2
1996
Ausgleichung im Sinne minimaler Maximalfehler. Zbl 0322.65005
Heindl, Gerhard; Reinhart, Ewald
2
1976
A representation of the interval hull of a tolerance polyhedron describing inclusions of function values and slopes. Zbl 1130.65306
Heindl, Gerhard
1
1999
Spline-Funktionen als Interpolationsfunktionen mit betragsminimalen n-ten Ableitungen und die Approximation von Peanofunktionalen. Zbl 0256.41008
Heindl, G.
1
1973
Eine allgemeine Methode zur Berechnung von MINIMAX-Fehlern. I: Bei vorliegenden Messungen. Zbl 0327.65013
Heindl, Gerhard; Reinhart, Ewald
1
1976
Eine allgemeine Methode zur Berechnung von MINIMAX-Fehlern. II: Vor der Durchführung von Messungen. Zbl 0327.65014
Heindl, Gerhard; Reinhart, Ewald
1
1976
Eine allgemeine Methode zur Berechnung von MINIMAX-Fehlern. III: Bei teils vorliegenden, teils projektierten Messungen. Zbl 0379.65009
Heindl, Gerhard; Reinhart, Ewald
1
1978
The relation between statistical decision theory and approximation theory. Zbl 0508.62011
Harris, Bernard; Heindl, Gerhard
1
1979
How to compute a triangle with prescribed lengths of its internal angle bisectors. Zbl 1362.51007
Heindl, Gerhard
2
2016
On the existence theorems of Kantorovich, Miranda and Borsuk. Zbl 1080.47042
Alefeld, Götz; Frommer, Andreas; Heindl, Gerhard; Mayer, Jan
9
2004
A representation of the interval hull of a tolerance polyhedron describing inclusions of function values and slopes. Zbl 1130.65306
Heindl, Gerhard
1
1999
Solving linear interval systems is NP-hard even if we exclude overflow and underflow. Zbl 0920.65012
Heindl, Gerhard; Kreinovich, Vladik; Lakeyev, Anatoly V.
3
1998
A method for verified computing of inner and outer approximations of the interval hull of a tolerance polyhedron. Zbl 0849.65022
Heindl, Gerhard
2
1996
Computable hypernorm bounds for the error of an approximate solution to a system of nonlinear equations. Zbl 0839.65069
Heindl, G.
2
1992
Affine invariant convergence theorems for Newton’s method and extensions to related methods. Zbl 0395.65028
Deuflhard, P.; Heindl, G.
124
1979
Interpolation and approximation by piecewise quadratic \(C^1\)-functions of two variables. Zbl 0424.41020
Heindl, Gerhard
9
1979
The relation between statistical decision theory and approximation theory. Zbl 0508.62011
Harris, Bernard; Heindl, Gerhard
1
1979
Eine allgemeine Methode zur Berechnung von MINIMAX-Fehlern. III: Bei teils vorliegenden, teils projektierten Messungen. Zbl 0379.65009
Heindl, Gerhard; Reinhart, Ewald
1
1978
G-Optimale Entscheidungen bei mehrfacher Zielsetzung. Zbl 0399.90002
Heindl, G.
3
1977
Ausgleichung im Sinne minimaler Maximalfehler. Zbl 0322.65005
Heindl, Gerhard; Reinhart, Ewald
2
1976
Eine allgemeine Methode zur Berechnung von MINIMAX-Fehlern. I: Bei vorliegenden Messungen. Zbl 0327.65013
Heindl, Gerhard; Reinhart, Ewald
1
1976
Eine allgemeine Methode zur Berechnung von MINIMAX-Fehlern. II: Vor der Durchführung von Messungen. Zbl 0327.65014
Heindl, Gerhard; Reinhart, Ewald
1
1976
Spline-Funktionen als Interpolationsfunktionen mit betragsminimalen n-ten Ableitungen und die Approximation von Peanofunktionalen. Zbl 0256.41008
Heindl, G.
1
1973
all cited Publications top 5 cited Publications
all top 5

Cited by 147 Authors

38 Argyros, Ioannis Konstantinos
18 Hilout, Saïd
11 Yamamoto, Tetsuro
5 Vrahatis, Michael N.
4 Behringer, Fred Alois
4 Deuflhard, Peter
4 George, Santhosh
4 Potra, Florian-Alexandru
4 Rheinboldt, Werner C.
3 Bertolazzi, Enrico
3 Biral, Francesco
3 Cho, Yeol Je
3 Ferreira, Orizon Pereira
3 Häußler, Walter M.
3 Heindl, Gerhard
3 Ling, Yonghui
3 Nashed, M. Zuhair
3 Tanaka, Kazuaki
3 Ypma, Tjalling J.
2 Asai, Taisei
2 Chen, Jinhai
2 Chen, Xiaojun
2 Da Lio, Mauro
2 Franek, Peter
2 Galligani, Emanuele
2 Galperin, Anatoly M.
2 Hajja, Mowaffaq
2 Li, Chong
2 Mayer, Jan
2 Waksman, Zeev
2 Wang, Jinhua
2 Xu, Xiubin
1 Abu-Saymeh, Sadi
1 Adam, Stavros P.
1 Al-Momani, Yaqeen
1 Alafifi, Ghada
1 Alexander, Roger K.
1 Ariza-Ruiz, David
1 Ascher, Uri M.
1 Axelsson, Axel Owe Holger
1 Bakushinskĭ, Anatoliĭ Borisovich B.
1 Bao, Jifeng
1 Beyn, Wolf-Jürgen
1 Brodzik, M. L.
1 Cătinaş, Emil
1 Chabert, Gilles
1 Dai, Yu-Hong
1 Dupont, Todd F.
1 Engl, Heinz W.
1 Figueroa-García, Juan Carlos
1 Fortin, André
1 Fortin, Michel
1 Galántai, Aurél
1 Gao, Junbin
1 Garcia-Falset, Jesús
1 Goldsztejn, Alexandre
1 Gonçalves, Max L. N.
1 González, Daniel
1 Hamdan, Ahmad
1 Han, Bo
1 Hayajneh, Mostafa
1 He, Tian-Xiao
1 Herceg, Dragoslav
1 Hernández-Pérez, Germán
1 Hernández-Verón, Miguel Ángel
1 Hofmann, Bernd
1 Hong, Don
1 Hu, Nuchun
1 Hu, Yaohua
1 Jansson, Christian
1 Jarre, Florian
1 Kaltenbacher, Barbara
1 Kárný, Miroslav
1 Karras, Dimitrios A.
1 Khattri, Sanjay K.
1 Konishi, Toshio
1 Korotov, Sergey
1 Krasopoulos, Panagiotis T.
1 Krčál, Marek
1 Krejić, Nataša
1 Křížek, Michal
1 Kunkel, Peter
1 Kutterer, Hansjörg
1 Li, Weiguo
1 Liang, Juan
1 Lieder, Felix
1 Lin, Weihua
1 Lio, Mon-Chi
1 Liu, Huanwen
1 Long, Haie
1 Lužanin, Zorana
1 Magoulas, George D.
1 Mayer, Günter
1 Mehrmann, Volker
1 Meyer, Peter Wilhelm
1 Miel, George J.
1 Morini, Benedetta
1 Nashed, Zuhair
1 Ng, Kung-Fu
1 Nisha, Shwet
...and 47 more Authors
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Cited in 62 Serials

22 Journal of Computational and Applied Mathematics
10 Numerical Functional Analysis and Optimization
9 Numerische Mathematik
7 Journal of Applied Mathematics and Computing
6 Applied Mathematics and Computation
6 Computing
5 Computers & Mathematics with Applications
5 Japan Journal of Applied Mathematics
5 Journal of Complexity
4 Journal of Mathematical Analysis and Applications
4 Numerical Algorithms
4 Computational Optimization and Applications
4 Nonlinear Analysis. Theory, Methods & Applications
3 Mathematics of Computation
3 European Journal of Operational Research
3 Reliable Computing
2 BIT
2 Topology and its Applications
2 International Journal of Computer Mathematics
2 Mathematical Programming. Series A. Series B
2 Applicationes Mathematicae
2 Multibody System Dynamics
1 Computer Methods in Applied Mechanics and Engineering
1 The Mathematical Gazette
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 Automatica
1 Czechoslovak Mathematical Journal
1 International Journal for Numerical Methods in Engineering
1 Journal of Optimization Theory and Applications
1 Manuscripta Mathematica
1 Mathematica Slovaca
1 SIAM Journal on Control and Optimization
1 SIAM Journal on Numerical Analysis
1 Zeitschrift für Analysis und ihre Anwendungen
1 Applied Numerical Mathematics
1 RAIRO. Modélisation Mathématique et Analyse Numérique
1 Journal of Automated Reasoning
1 Applied Mathematics Letters
1 Journal of Integral Equations and Applications
1 Neural Networks
1 Journal of Global Optimization
1 Aequationes Mathematicae
1 Celestial Mechanics
1 Linear Algebra and its Applications
1 Numerical Linear Algebra with Applications
1 Advances in Computational Mathematics
1 Revista Investigación Operacional
1 Vietnam Journal of Mathematics
1 Optimization Methods & Software
1 Mathematical Inequalities & Applications
1 Fixed Point Theory and Applications
1 Cubo
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Journal of Fixed Point Theory and Applications
1 PAMM. Proceedings in Applied Mathematics and Mechanics
1 Asian-European Journal of Mathematics
1 Science China. Mathematics
1 S\(\vec{\text{e}}\)MA Journal
1 East Asian Journal on Applied Mathematics
1 Journal of Applied and Computational Topology
1 SN Partial Differential Equations and Applications
1 Sampling Theory, Signal Processing, and Data Analysis
all top 5

Cited in 27 Fields

129 Numerical analysis (65-XX)
61 Operator theory (47-XX)
16 Operations research, mathematical programming (90-XX)
11 Calculus of variations and optimal control; optimization (49-XX)
10 Ordinary differential equations (34-XX)
9 Partial differential equations (35-XX)
8 Integral equations (45-XX)
7 Approximations and expansions (41-XX)
5 Mechanics of deformable solids (74-XX)
3 General topology (54-XX)
3 Algebraic topology (55-XX)
3 Statistics (62-XX)
3 Computer science (68-XX)
3 Mechanics of particles and systems (70-XX)
3 Biology and other natural sciences (92-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Real functions (26-XX)
2 Geometry (51-XX)
2 Geophysics (86-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Systems theory; control (93-XX)
1 Mathematical logic and foundations (03-XX)
1 General algebraic systems (08-XX)
1 Dynamical systems and ergodic theory (37-XX)
1 Functional analysis (46-XX)
1 Probability theory and stochastic processes (60-XX)
1 Fluid mechanics (76-XX)

Citations by Year