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Fundamentals of Algorithms

Short Title: Fundam. Algorithms
Publisher: Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA
Online: http://bookstore.siam.org/fundamentals-of-algorithms/
Comments: Book series; Indexed cover-to-cover
Documents Indexed: 17 Publications (since 2003)

Publications by Year

Citations contained in zbMATH Open

14 Publications have been cited 1,060 times in 1,035 Documents Cited by Year
Solving nonlinear equations with Newton’s method. Zbl 1031.65069
Kelley, C. T.
186
2003
Deblurring images. Matrices, spectra, and filtering. Zbl 1112.68127
Hansen, Per Christian; Nagy, James G.; O’Leary, Dianne P.
182
2006
Direct methods for sparse linear systems. Zbl 1119.65021
Davis, Timothy A.
163
2006
An introduction to iterative Toeplitz solvers. Zbl 1146.65028
Chan, Raymond Hon-Fu; Jin, Xiao-Qing
124
2007
Discrete inverse problems. Insight and algorithms. Zbl 1197.65054
Hansen, Per Christian
99
2010
Numerical solution of algebraic Riccati equations. Zbl 1244.65058
Bini, Dario A.; Iannazzo, Bruno; Meini, Beatrice
74
2012
Practical augmented Lagrangian methods for constrained optimization. Zbl 1339.90312
Birgin, Ernesto G.; Martínez, José Mario
66
2014
FAIR. Flexible algorithms for image registration. Zbl 1183.68695
Modersitzki, Jan
52
2009
Alternating projection methods. Zbl 1275.65031
Escalante, René; Raydan, Marcos
39
2011
Matrix methods in data mining and pattern recognition. Zbl 1120.68092
Eldén, Lars
32
2007
Data assimilation: methods, algorithms, and applications. Zbl 1361.93001
Asch, Mark; Bocquet, Marc; Nodet, Maëlle
29
2016
Core-chasing algorithms for the eigenvalue problem. Zbl 1434.65003
Aurentz, Jared L.; Mach, Thomas; Robol, Leonardo; Vandebril, Raf; Watkins, David S.
11
2018
Structure-preserving doubling algorithms for nonlinear matrix equations. Zbl 1435.65006
Huang, Tsung-Ming; Li, Ren-Cang; Lin, Wen-Wei
2
2018
Numerical analysis of partial differential equations using Maple and MATLAB. Zbl 1459.65001
Gander, Martin J.; Kwok, Felix
1
2018
Core-chasing algorithms for the eigenvalue problem. Zbl 1434.65003
Aurentz, Jared L.; Mach, Thomas; Robol, Leonardo; Vandebril, Raf; Watkins, David S.
11
2018
Structure-preserving doubling algorithms for nonlinear matrix equations. Zbl 1435.65006
Huang, Tsung-Ming; Li, Ren-Cang; Lin, Wen-Wei
2
2018
Numerical analysis of partial differential equations using Maple and MATLAB. Zbl 1459.65001
Gander, Martin J.; Kwok, Felix
1
2018
Data assimilation: methods, algorithms, and applications. Zbl 1361.93001
Asch, Mark; Bocquet, Marc; Nodet, Maëlle
29
2016
Practical augmented Lagrangian methods for constrained optimization. Zbl 1339.90312
Birgin, Ernesto G.; Martínez, José Mario
66
2014
Numerical solution of algebraic Riccati equations. Zbl 1244.65058
Bini, Dario A.; Iannazzo, Bruno; Meini, Beatrice
74
2012
Alternating projection methods. Zbl 1275.65031
Escalante, René; Raydan, Marcos
39
2011
Discrete inverse problems. Insight and algorithms. Zbl 1197.65054
Hansen, Per Christian
99
2010
FAIR. Flexible algorithms for image registration. Zbl 1183.68695
Modersitzki, Jan
52
2009
An introduction to iterative Toeplitz solvers. Zbl 1146.65028
Chan, Raymond Hon-Fu; Jin, Xiao-Qing
124
2007
Matrix methods in data mining and pattern recognition. Zbl 1120.68092
Eldén, Lars
32
2007
Deblurring images. Matrices, spectra, and filtering. Zbl 1112.68127
Hansen, Per Christian; Nagy, James G.; O’Leary, Dianne P.
182
2006
Direct methods for sparse linear systems. Zbl 1119.65021
Davis, Timothy A.
163
2006
Solving nonlinear equations with Newton’s method. Zbl 1031.65069
Kelley, C. T.
186
2003
all top 5

Cited by 1,793 Authors

22 Huang, Ting-Zhu
19 Reichel, Lothar
18 Zhao, Xile
17 Sun, Haiwei
16 Wei, Yimin
15 Nagy, James Gerard
14 Birgin, Ernesto G.
13 Martínez, José Mario
13 Sharma, Janak Raj
12 Chung, Julianne M.
12 Donatelli, Marco
12 Gu, Xian-Ming
12 Lei, Siulong
12 Serra-Capizzano, Stefano
11 Chen, Ke
11 Jin, Xiaoqing
11 Kanzow, Christian
11 Lv, Xiaoguang
11 Pang, Hong-Kui
11 Zhao, Yongliang
10 Hansen, Per Christian
10 Zhang, Wenxing
9 Gazzola, Silvia
9 Loli Piccolomini, Elena
9 Yuan, Xiaoming
8 Benner, Peter
8 Jbilou, Khalide
8 Jia, Zhongxiao
7 Deng, Weihua
7 Han, Deren
7 Landi, Germana
7 Mang, Andreas
7 Ng, Michael Kwok-Po
7 Turner, Ian William
7 Vandebril, Raf
6 Biros, George
6 Chen, Minghua
6 Chung, Matthias
6 Jian, Huanyan
6 Ruthotto, Lars
6 Shadid, John N.
6 Simoncini, Valeria
5 Bentbib, Abdeslem Hafid
5 Buccini, Alessandro
5 Chiang, Chun-Yueh
5 Ebadi, Moosa
5 Estatico, Claudio
5 Fan, Jinyan
5 Haber, Eldad
5 Huang, Jingfang
5 Kadioglu, Samet Y.
5 Karageorghis, Andreas
5 Kürschner, Patrick
5 Lesnic, Daniel
5 Pang, Chin How Jeffrey
5 Poloni, Federico G.
5 Qi, Liqun
5 Robol, Leonardo
5 Saak, Jens
5 Sharma, Rajni
5 Steck, Daniel A.
5 Zhang, Liping
4 Andreani, Roberto
4 Arora, Himani
4 Bardsley, Johnathan M.
4 Bhatia, Saurabh
4 Bini, Dario Andrea
4 Boyd, Stephen Poythress
4 Chen, Xu
4 Dell’Acqua, Pietro
4 Ding, Deng
4 El-Guide, Mohamed
4 Fan, Hung-Yuan
4 Huckle, Thomas Kilian
4 Jia, Jiteng
4 Kanwar, Vinay
4 King-wah Chu, Eric
4 Kressner, Daniel
4 Le Guyader, Carole
4 Lin, Paul T.
4 Liu, Jun
4 Lobato, Rafael D.
4 Mach, Thomas
4 Marin, Liviu
4 Massei, Stefano
4 Miyajima, Shinya
4 Modersitzki, Jan
4 Narang, Mona
4 Noschese, Silvia
4 O’Leary, Dianne P.
4 Porta, Federica
4 Raydan, Marcos
4 Schönlieb, Carola-Bibiane
4 Tavakoli, Rouhollah
4 Vong, Seakweng
4 Zhang, Daoping
4 Zhu, Peiyong
3 Andersen, Martin S.
3 Antoni, Grégory
3 Argyros, Ioannis Konstantinos
...and 1,693 more Authors
all top 5

Cited in 208 Journals

63 Journal of Computational and Applied Mathematics
52 Numerical Algorithms
50 Journal of Computational Physics
40 Linear Algebra and its Applications
36 SIAM Journal on Scientific Computing
32 Applied Mathematics and Computation
32 Journal of Scientific Computing
31 Computational Optimization and Applications
30 Inverse Problems
26 Computers & Mathematics with Applications
25 Numerical Linear Algebra with Applications
21 Computer Methods in Applied Mechanics and Engineering
20 SIAM Journal on Matrix Analysis and Applications
19 Applied Numerical Mathematics
19 International Journal of Computer Mathematics
19 Journal of Mathematical Imaging and Vision
19 SIAM Journal on Imaging Sciences
16 Computational and Applied Mathematics
14 BIT
14 Calcolo
14 Optimization Methods & Software
11 Mathematical Programming. Series A. Series B
11 SIAM Journal on Optimization
11 Mathematical Problems in Engineering
10 Journal of Optimization Theory and Applications
9 Applied Mathematical Modelling
9 East Asian Journal on Applied Mathematics
8 Journal of Fluid Mechanics
8 International Journal for Numerical Methods in Engineering
8 Computational Geosciences
7 Numerische Mathematik
7 Inverse Problems and Imaging
6 Automatica
6 Numerical Methods for Partial Differential Equations
6 International Journal of Computational Methods
6 Inverse Problems in Science and Engineering
5 Mathematics of Computation
5 Mathematics and Computers in Simulation
5 Journal of Global Optimization
5 European Journal of Operational Research
5 Pattern Recognition
5 ETNA. Electronic Transactions on Numerical Analysis
5 Chaos
5 SIAM/ASA Journal on Uncertainty Quantification
4 International Journal of Control
4 Journal of the Franklin Institute
4 Chaos, Solitons and Fractals
4 Japan Journal of Industrial and Applied Mathematics
4 Abstract and Applied Analysis
4 Mathematical and Computer Modelling of Dynamical Systems
4 Communications in Nonlinear Science and Numerical Simulation
4 Statistics and Computing
3 Computers and Fluids
3 ACM Transactions on Mathematical Software
3 SIAM Journal on Control and Optimization
3 SIAM Journal on Numerical Analysis
3 Systems & Control Letters
3 Physica D
3 Computational Mechanics
3 Applied Mathematics Letters
3 Neural Computation
3 Advances in Applied Clifford Algebras
3 Top
3 Advances in Computational Mathematics
3 Journal of Mathematical Chemistry
3 Multibody System Dynamics
3 Acta Numerica
3 Optimization Letters
3 Algorithms
3 Mathematical Programming Computation
3 International Journal of Engineering Mathematics
3 Bulletin of Computational Applied Mathematics
2 International Journal for Numerical Methods in Fluids
2 Journal of Mathematical Biology
2 Journal of Mathematical Physics
2 Journal of Statistical Physics
2 Linear and Multilinear Algebra
2 Mathematical Methods in the Applied Sciences
2 Applied Mathematics and Optimization
2 Mathematics of Operations Research
2 Operations Research Letters
2 Computer Aided Geometric Design
2 Optimization
2 SIAM Review
2 Computational Statistics and Data Analysis
2 Archive of Applied Mechanics
2 Russian Journal of Numerical Analysis and Mathematical Modelling
2 Annals of Mathematics and Artificial Intelligence
2 Sbornik: Mathematics
2 ELA. The Electronic Journal of Linear Algebra
2 European Journal of Control
2 Foundations of Computational Mathematics
2 Journal of Applied Mathematics
2 Stochastic Models
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 The Annals of Applied Statistics
2 Journal of Nonlinear Science and Applications
2 Advances in Numerical Analysis
2 Science China. Mathematics
2 Journal of Applied Mathematics & Informatics
...and 108 more Journals
all top 5

Cited in 51 Fields

716 Numerical analysis (65-XX)
173 Operations research, mathematical programming (90-XX)
169 Linear and multilinear algebra; matrix theory (15-XX)
145 Information and communication theory, circuits (94-XX)
123 Partial differential equations (35-XX)
113 Computer science (68-XX)
78 Calculus of variations and optimal control; optimization (49-XX)
70 Fluid mechanics (76-XX)
61 Statistics (62-XX)
46 Mechanics of deformable solids (74-XX)
44 Biology and other natural sciences (92-XX)
38 Systems theory; control (93-XX)
31 Operator theory (47-XX)
29 Probability theory and stochastic processes (60-XX)
25 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
23 Ordinary differential equations (34-XX)
22 Geophysics (86-XX)
19 Integral equations (45-XX)
17 Dynamical systems and ergodic theory (37-XX)
16 Real functions (26-XX)
14 Statistical mechanics, structure of matter (82-XX)
13 Combinatorics (05-XX)
13 Approximations and expansions (41-XX)
12 Optics, electromagnetic theory (78-XX)
10 Mechanics of particles and systems (70-XX)
7 Classical thermodynamics, heat transfer (80-XX)
5 Difference and functional equations (39-XX)
5 Astronomy and astrophysics (85-XX)
4 General and overarching topics; collections (00-XX)
4 Number theory (11-XX)
4 Functional analysis (46-XX)
4 Convex and discrete geometry (52-XX)
4 Global analysis, analysis on manifolds (58-XX)
4 Quantum theory (81-XX)
3 Field theory and polynomials (12-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Differential geometry (53-XX)
2 History and biography (01-XX)
2 Mathematical logic and foundations (03-XX)
2 Commutative algebra (13-XX)
2 Relativity and gravitational theory (83-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 General algebraic systems (08-XX)
1 Algebraic geometry (14-XX)
1 Associative rings and algebras (16-XX)
1 Group theory and generalizations (20-XX)
1 Topological groups, Lie groups (22-XX)
1 Functions of a complex variable (30-XX)
1 Sequences, series, summability (40-XX)
1 Integral transforms, operational calculus (44-XX)
1 Algebraic topology (55-XX)

Citations by Year