Edit Profile (opens in new tab) Ahues, Mario Paul Co-Author Distance Author ID: ahues.mario-paul Published as: Ahues, Mario; Ahues, M.; Ahués, Mario; Ahues, Mario Paul; Ahués, M. more...less External Links: MGP Documents Indexed: 65 Publications since 1982, including 2 Books and 1 Additional arXiv Preprint 2 Contributions as Editor · 2 Further Contributions Co-Authors: 31 Co-Authors with 58 Joint Publications 260 Co-Co-Authors all top 5 Co-Authors 10 single-authored 22 Largillier, Alain 10 Vasconcelos, Paulo Beleza 7 Chatelin, Francoise E. 7 Limaye, Balmohan Vishnu 6 Telias, Mauricio 5 Grammont, Laurence 4 D’Almeida, Filomena D. 4 Titaud, Olivier 3 Amosov, Andreĭ Avenirovich 2 Dias d’Almeida, Filomena 2 Fernandes, R. R. 2 Hocine, Farida 2 Kaboul, Hanane 2 Ledermann, Walter 1 Alvizú, Jos’e 1 Arancibia, Sara 1 Attoh, Kwami 1 Boukrouche, Mahdi 1 Carasso, Claude 1 Carreño, Gloria 1 Celis, Verónica 1 Constanda, Christian 1 d’Almeida, F. Dias 1 de Almeida, Filomena 1 Duvivier, David 1 Fernandes, Rosário 1 Hama, Muzafar Fattah 1 Mennouni, Abdelaziz 1 Meskens, Nadine 1 Nunes, A. L. 1 Piskarëv, S. I. 1 Rutily, Bernard all top 5 Serials 13 Numerical Functional Analysis and Optimization 7 Applied Mathematics Letters 6 International Journal of Pure and Applied Mathematics 4 Linear Algebra and its Applications 3 SIAM Journal on Numerical Analysis 3 Applied Numerical Mathematics 1 Journal of the Australian Mathematical Society, Series B 1 Applied Mathematics and Computation 1 Journal of Computational and Applied Mathematics 1 RAIRO. Analyse Numérique 1 Journal of Integral Equations and Applications 1 The Journal of Analysis 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Mathematical Modelling and Analysis 1 Communications on Pure and Applied Analysis 1 Classics in Applied Mathematics 1 Applied Mathematics (Boca Raton) all top 5 Fields 61 Numerical analysis (65-XX) 32 Integral equations (45-XX) 26 Operator theory (47-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 7 Partial differential equations (35-XX) 5 General and overarching topics; collections (00-XX) 2 Ordinary differential equations (34-XX) 2 Astronomy and astrophysics (85-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 43 Publications have been cited 264 times in 178 Documents Cited by ▼ Year ▼ Spectral computations for bounded operators. Zbl 1053.47001 Ahues, Mario; Largillier, Alain; Limaye, Balmohan V. 102 2001 Eigenvalues of matrices. With exercises by Mario Ahués and Françoise Chatelin. Translated from the French with additional material by Walter Ledermann. Zbl 0783.65031 Chatelin, Françoise 24 1993 A class of strongly stable operator approximations. Zbl 0634.41017 Ahues, Mario 13 1987 Superconvergence of some projection approximations for weakly singular integral equations using general grids. Zbl 1195.65220 Amosov, Andrey; Ahues, Mario; Largillier, Alain 13 2009 The roles of a weak singularity and the grid uniformity in relative error bounds. Zbl 0996.65144 Ahues, Mario; Largillier, Alain; Titaud, Olivier 12 2001 An \(L^1\) refined projection approximate solution of the radiation transfer equation in stellar atmospheres. Zbl 1005.65144 Ahues, M.; D’Almeida, F.; Largillier, A.; Titaud, O.; Vasconcelos, P. 11 2002 For nonlinear infinite dimensional equations, which to begin with: linearization or discretization? Zbl 1307.65077 Grammont, Laurence; Ahues, Mario; D’Almeida, Filomena D. 10 2014 Refinement methods of Newton type for approximate eigenelements of integral operators. Zbl 0627.65063 Ahués, Mario; Telias, Mauricio 8 1986 The use of defect correction to refine the eigenelements of compact integral operators. Zbl 0528.65073 Ahues, Mario; Chatelin, Francoise 8 1983 Piecewise constant Galerkin approximations of weakly singular integral equations. Zbl 1182.65197 Ahues, M.; d’Almeida, F. D.; Fernandes, R. R. 8 2009 A note on spectral approximation of linear operations. Zbl 0821.47002 Ahues, M.; Hocine, F. 6 1994 A modified iterated projection method adapted to a nonlinear integral equation. Zbl 1410.65219 Grammont, Laurence; Vasconcelos, Paulo B.; Ahues, Mario 6 2016 Spectral condition numbers for defective elements of linear operators in Hilbert spaces. Zbl 0693.47005 Ahues, Mario 5 1989 On acceleration of spectral computations for integral operators with weakly singular kernels. Zbl 1182.65196 Ahues, M.; Largillier, A.; Limaye, B. 4 2008 Computation of spectral subspaces for weakly singular integral operators. Zbl 1076.47009 Ahues, M.; Limaye, B. V. 4 2004 Spectral refinement on quasi-diagonal matrices. Zbl 1075.65050 Ahues, Mario; Largillier, Alain; Dias d’Almeida, Filomena; Vasconcelos, Paulo B. 4 2005 \(L^p\) error estimates for projection approximations. Zbl 1076.65120 Ahues, Mario; Amosov, Andrei; Largillier, Alain; Titaud, Olivier 4 2005 An extension of the product integration method to \(L^1\) with applications in astrophysics. Zbl 1488.45002 Grammont, Laurence; Ahues, Mario; Kaboul, Hanane 4 2016 Errors and grids for projected weakly singular integral equations. Zbl 1286.65066 d’Almeida, F. D.; Ahues, M.; Fernandes, R. 4 2013 Defect correction for spectral computations for a singular integral operator. Zbl 1133.65110 Ahues, Mario; D’Almeida, Filomena D.; Largillier, Alain; Vasconcelos, Paulo B. 3 2006 Superconvergence of projection methods for weakly singular integral operators. Zbl 1180.65172 Ahues, M.; Largillier, A.; Amosov, A. 3 2008 Iterative refinement for approximate eigenelements of compact operators. Zbl 0604.65037 Ahués, Mario; d’Almeida, Filomena; Telias, Mauricio 3 1984 Rayleigh-Schrödinger series for defective spectral elements of compact operators in Banach spaces. I: Theoretical aspects. Zbl 0733.65034 Ahues, Mario; Arancibia, Sara; Telias, Mauricio 3 1991 A product integration type method for solving nonlinear integral equations in \(L^{1}\). Zbl 1357.65318 Grammont, L.; Kaboul, H.; Ahues, M. 3 2017 Error bounds for low-rank approximations of the first exponential integral kernel. Zbl 1270.33013 Nunes, A. L.; Vasconcelos, P. B.; Ahues, M. 3 2013 A variant of the fixed tangent method for spectral computations on integral operators. Zbl 0831.65143 Ahues, Mario; Largillier, Alain 2 1995 Newton methods with Hölder derivative. Zbl 1073.65048 Ahues, Mario 2 2004 Rayleigh-Schrödinger series for defective spectral elements of compact operators in Banach spaces. II: Numerical comparison with some inexact Newton methods. Zbl 0733.65035 Ahues, Mario; Largillier, Alain 2 1991 Exercises de valeurs propres de matrices, avec solutions. (Exercises to matrix eigenvalues, with solutions). Zbl 0691.65019 Ahués, Mario; Chatelin, Françoise 1 1989 Iterative refinement techniques for the eigenvalue problem of compact integral operators. Zbl 0502.65077 Ahues, Mario; de Almeida, Filomena; Chatelin, Francoise; Telias, Mauricio 1 1982 Error bounds for \(L^1\) Galerkin approximations of weakly singular integral operators. Zbl 1190.65191 Ahues, M.; d’Almeida, F. D.; Fernandes, R. 1 2010 On generalized inverse Steklov problems. Zbl 0969.34022 Ahues, M.; Largillier, A. 1 2000 Two numerical approximations for a class of weakly singular integral operators. Zbl 0836.65147 Ahues, Mario; Largillier, Alain 1 1995 Spectral refinement for clustered eigenvalues of quasi-diagonal matrices. Zbl 1089.65029 Ahues, Mario; Dias d’Almeida, Filomena; Largillier, Alain; Vasconcelos, Paulo B. 1 2006 A superlinearly convergent two-grid defect correction method for invariant subspaces of compact operators. Zbl 0583.65034 Ahues, Mario 1 1985 Computing a set of eigenvalues. Zbl 0605.65030 Chatelin, F.; Ahués, M.; Telias, M. 1 1986 A note on perturbed fixed slope iterations. Zbl 1075.65079 Ahues, Mario 1 2005 A note on strong stability of finite element approximations. Zbl 0705.65038 Ahues, Mario 1 1989 A note on refining eigenelements of symmetric matrices. Zbl 0707.65021 Ahues, Mario 1 1988 On error bounds for eigenvalues of a matrix pencil. Zbl 0888.15007 Ahues, Mario; Limaye, Balmohan 1 1998 Singularity subtraction for nonlinear weakly singular integral equations of the second kind. Zbl 07215928 Ahues, Mario; d’Almeida, Filomena D.; Fernandes, Rosário; Vasconcelos, Paulo B. 1 2019 Eigenvalues of matrices. With exercises by Mario Ahués and Françoise Chatelin. Translated from the French with additional material by Walter Ledermann. Revised ed. Zbl 1254.65047 Chatelin, Françoise 1 2013 On condition numbers of a basis. Zbl 1283.65044 Ahues, Mario; Limaye, Balmohan V. 1 2013 Singularity subtraction for nonlinear weakly singular integral equations of the second kind. Zbl 07215928 Ahues, Mario; d’Almeida, Filomena D.; Fernandes, Rosário; Vasconcelos, Paulo B. 1 2019 A product integration type method for solving nonlinear integral equations in \(L^{1}\). Zbl 1357.65318 Grammont, L.; Kaboul, H.; Ahues, M. 3 2017 A modified iterated projection method adapted to a nonlinear integral equation. Zbl 1410.65219 Grammont, Laurence; Vasconcelos, Paulo B.; Ahues, Mario 6 2016 An extension of the product integration method to \(L^1\) with applications in astrophysics. Zbl 1488.45002 Grammont, Laurence; Ahues, Mario; Kaboul, Hanane 4 2016 For nonlinear infinite dimensional equations, which to begin with: linearization or discretization? Zbl 1307.65077 Grammont, Laurence; Ahues, Mario; D’Almeida, Filomena D. 10 2014 Errors and grids for projected weakly singular integral equations. Zbl 1286.65066 d’Almeida, F. D.; Ahues, M.; Fernandes, R. 4 2013 Error bounds for low-rank approximations of the first exponential integral kernel. Zbl 1270.33013 Nunes, A. L.; Vasconcelos, P. B.; Ahues, M. 3 2013 Eigenvalues of matrices. With exercises by Mario Ahués and Françoise Chatelin. Translated from the French with additional material by Walter Ledermann. Revised ed. Zbl 1254.65047 Chatelin, Françoise 1 2013 On condition numbers of a basis. Zbl 1283.65044 Ahues, Mario; Limaye, Balmohan V. 1 2013 Error bounds for \(L^1\) Galerkin approximations of weakly singular integral operators. Zbl 1190.65191 Ahues, M.; d’Almeida, F. D.; Fernandes, R. 1 2010 Superconvergence of some projection approximations for weakly singular integral equations using general grids. Zbl 1195.65220 Amosov, Andrey; Ahues, Mario; Largillier, Alain 13 2009 Piecewise constant Galerkin approximations of weakly singular integral equations. Zbl 1182.65197 Ahues, M.; d’Almeida, F. D.; Fernandes, R. R. 8 2009 On acceleration of spectral computations for integral operators with weakly singular kernels. Zbl 1182.65196 Ahues, M.; Largillier, A.; Limaye, B. 4 2008 Superconvergence of projection methods for weakly singular integral operators. Zbl 1180.65172 Ahues, M.; Largillier, A.; Amosov, A. 3 2008 Defect correction for spectral computations for a singular integral operator. Zbl 1133.65110 Ahues, Mario; D’Almeida, Filomena D.; Largillier, Alain; Vasconcelos, Paulo B. 3 2006 Spectral refinement for clustered eigenvalues of quasi-diagonal matrices. Zbl 1089.65029 Ahues, Mario; Dias d’Almeida, Filomena; Largillier, Alain; Vasconcelos, Paulo B. 1 2006 Spectral refinement on quasi-diagonal matrices. Zbl 1075.65050 Ahues, Mario; Largillier, Alain; Dias d’Almeida, Filomena; Vasconcelos, Paulo B. 4 2005 \(L^p\) error estimates for projection approximations. Zbl 1076.65120 Ahues, Mario; Amosov, Andrei; Largillier, Alain; Titaud, Olivier 4 2005 A note on perturbed fixed slope iterations. Zbl 1075.65079 Ahues, Mario 1 2005 Computation of spectral subspaces for weakly singular integral operators. Zbl 1076.47009 Ahues, M.; Limaye, B. V. 4 2004 Newton methods with Hölder derivative. Zbl 1073.65048 Ahues, Mario 2 2004 An \(L^1\) refined projection approximate solution of the radiation transfer equation in stellar atmospheres. Zbl 1005.65144 Ahues, M.; D’Almeida, F.; Largillier, A.; Titaud, O.; Vasconcelos, P. 11 2002 Spectral computations for bounded operators. Zbl 1053.47001 Ahues, Mario; Largillier, Alain; Limaye, Balmohan V. 102 2001 The roles of a weak singularity and the grid uniformity in relative error bounds. Zbl 0996.65144 Ahues, Mario; Largillier, Alain; Titaud, Olivier 12 2001 On generalized inverse Steklov problems. Zbl 0969.34022 Ahues, M.; Largillier, A. 1 2000 On error bounds for eigenvalues of a matrix pencil. Zbl 0888.15007 Ahues, Mario; Limaye, Balmohan 1 1998 A variant of the fixed tangent method for spectral computations on integral operators. Zbl 0831.65143 Ahues, Mario; Largillier, Alain 2 1995 Two numerical approximations for a class of weakly singular integral operators. Zbl 0836.65147 Ahues, Mario; Largillier, Alain 1 1995 A note on spectral approximation of linear operations. Zbl 0821.47002 Ahues, M.; Hocine, F. 6 1994 Eigenvalues of matrices. With exercises by Mario Ahués and Françoise Chatelin. Translated from the French with additional material by Walter Ledermann. Zbl 0783.65031 Chatelin, Françoise 24 1993 Rayleigh-Schrödinger series for defective spectral elements of compact operators in Banach spaces. I: Theoretical aspects. Zbl 0733.65034 Ahues, Mario; Arancibia, Sara; Telias, Mauricio 3 1991 Rayleigh-Schrödinger series for defective spectral elements of compact operators in Banach spaces. II: Numerical comparison with some inexact Newton methods. Zbl 0733.65035 Ahues, Mario; Largillier, Alain 2 1991 Spectral condition numbers for defective elements of linear operators in Hilbert spaces. Zbl 0693.47005 Ahues, Mario 5 1989 Exercises de valeurs propres de matrices, avec solutions. (Exercises to matrix eigenvalues, with solutions). Zbl 0691.65019 Ahués, Mario; Chatelin, Françoise 1 1989 A note on strong stability of finite element approximations. Zbl 0705.65038 Ahues, Mario 1 1989 A note on refining eigenelements of symmetric matrices. Zbl 0707.65021 Ahues, Mario 1 1988 A class of strongly stable operator approximations. Zbl 0634.41017 Ahues, Mario 13 1987 Refinement methods of Newton type for approximate eigenelements of integral operators. Zbl 0627.65063 Ahués, Mario; Telias, Mauricio 8 1986 Computing a set of eigenvalues. Zbl 0605.65030 Chatelin, F.; Ahués, M.; Telias, M. 1 1986 A superlinearly convergent two-grid defect correction method for invariant subspaces of compact operators. Zbl 0583.65034 Ahues, Mario 1 1985 Iterative refinement for approximate eigenelements of compact operators. Zbl 0604.65037 Ahués, Mario; d’Almeida, Filomena; Telias, Mauricio 3 1984 The use of defect correction to refine the eigenelements of compact integral operators. Zbl 0528.65073 Ahues, Mario; Chatelin, Francoise 8 1983 Iterative refinement techniques for the eigenvalue problem of compact integral operators. Zbl 0502.65077 Ahues, Mario; de Almeida, Filomena; Chatelin, Francoise; Telias, Mauricio 1 1982 all cited Publications top 5 cited Publications all top 5 Cited by 150 Authors 38 Nelakanti, Gnaneshwar 26 Ahues, Mario Paul 20 Guebbaï, Hamza 14 Panigrahi, Bijaya Laxmi 13 Largillier, Alain 12 Mandal, Moumita 11 Vasconcelos, Paulo Beleza 10 Das, Payel 8 Chakraborty, Samiran 8 Lemita, Samir 7 Kant, Kapil 7 Limaye, Balmohan Vishnu 6 D’Almeida, Filomena D. 6 Khellaf, Ammar 6 Long, Guangqing 6 Mennouni, Abdelaziz 5 Allouch, Chafik 5 Grammont, Laurence 5 Sbibih, Driss 5 Tahrichi, Mohamed 4 Aissaoui, Mohamed Zine 4 Alam, Rafikul 4 Djordjević, Slaviša V. 4 Kaboul, Hanane 4 Merchela, Wassim 4 Sahani, Mitali Madhumita 4 Sánchez Perales, Salvador 4 Segni, Sami 4 Titaud, Olivier 3 Dias d’Almeida, Filomena 3 Ghiat, Mourad 3 Kulkarni, Rekha P. 3 Lledó, Fernando 3 Nahid, Nilofar 3 Telias, Mauricio 2 Amiri, Sadegh 2 Ammar, Aymen 2 Amosov, Andreĭ Avenirovich 2 Babolian, Esmail 2 Băleanu, Dumitru I. 2 Bandtlow, Oscar F. 2 Benzaken, Joseph 2 Bounaya, Mohammed Charif 2 Chen, Zhongying 2 Fernandes, Rosário 2 Gnaneshwar, Nelakanti 2 Hajipour, Mojtaba 2 Hobert, James P. 2 Kamouche, Soumia 2 Majidian, Hassan 2 Malik, Jitendra Kumar 2 McCormick, Steve Fahrney 2 Mokhtari, Zouhir 2 Nemer, Ahlem 2 Qin, Qian 2 Rogoza, Aleksandr Anatol’evich 2 Tair, Boutheina 2 Tamstorf, Rasmus 2 Yakubovich, Dmitry V. 1 Agrawal, Shivam Kumar 1 Ahmadnasab, Morad 1 Aishima, Kensuke 1 Aissaou, Mohamed Zine 1 Aissaoui, Mohemd Zine 1 Aissaoui, Z. 1 Alouch, C. 1 Ara, Pere 1 Arancibia, Sara 1 Arrai, Mohamed 1 Assari, Pouria 1 Attoh, Kwami 1 Azevedo, Juarez S. 1 Benarab, Sarra 1 Benrabia, Noureddine 1 Boĭchuk, Oleksandr Andriĭovych 1 Bouazila, Nada 1 Bouda, Hamza 1 Boussetila, Nadjib 1 Cao, Feilong 1 Carasso, Claude 1 Carreño, Gloria 1 Chafik, Allouch 1 Chebbah, Hassna 1 Chevallier, Loïc 1 Correa, Maicon R. 1 Dang, P. T. D. 1 Das, Suddhasattwa 1 Debbar, Rabah 1 Deshpande, Lalita N. 1 Ezquerro, José Antonio 1 Feruk, V. A. 1 Ghiat, Morad 1 Giannakis, Dimitrios 1 Gil’, Michael Iosif 1 Güven Sarıhan, Ayşe 1 Hamza, Bouda 1 He, Yunhui 1 Henka, Youcef 1 Hernández-Verón, Miguel Ángel 1 Hocine, Farida ...and 50 more Authors all top 5 Cited in 63 Serials 16 Numerical Functional Analysis and Optimization 14 Applied Mathematics and Computation 14 Journal of Computational and Applied Mathematics 14 Applied Mathematics Letters 9 Computational and Applied Mathematics 8 Applied Numerical Mathematics 6 Journal of Applied Mathematics and Computing 5 Journal of Mathematical Analysis and Applications 4 Linear Algebra and its Applications 4 The Journal of Analysis 3 Journal of Scientific Computing 3 Journal of Integral Equations and Applications 3 Numerical Algorithms 3 International Journal of Computer Mathematics 3 Boletim da Sociedade Paranaense de Matemática. Terceira Série 2 Journal of Approximation Theory 2 Mathematical and Computer Modelling 2 SIAM Journal on Scientific Computing 2 Journal of Mathematical Sciences (New York) 2 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki 2 Communications in Nonlinear Science and Numerical Simulation 2 Lobachevskii Journal of Mathematics 2 The ANZIAM Journal 2 Mathematical Modelling and Analysis 2 Differentsial’nye Uravneniya i Protsessy Upravleniya 2 Complex Analysis and Operator Theory 2 Asian-European Journal of Mathematics 2 Mathematical Sciences 1 Computers & Mathematics with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Statistical Physics 1 Linear and Multilinear Algebra 1 Calcolo 1 Journal of Multivariate Analysis 1 Quaestiones Mathematicae 1 RAIRO. Analyse Numérique 1 Revista Colombiana de Matemáticas 1 SIAM Journal on Numerical Analysis 1 Acta Mathematicae Applicatae Sinica. English Series 1 Japan Journal of Industrial and Applied Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Indagationes Mathematicae. New Series 1 Russian Mathematics 1 Numerical Linear Algebra with Applications 1 Filomat 1 ETNA. Electronic Transactions on Numerical Analysis 1 Advances in Computational Mathematics 1 Bernoulli 1 Journal of Applied Analysis 1 Journal of Inequalities and Applications 1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 1 International Journal of Computational Methods 1 Mediterranean Journal of Mathematics 1 Proyecciones 1 Operators and Matrices 1 Electronic Journal of Statistics 1 Banach Journal of Mathematical Analysis 1 Advances in Applied Mathematics and Mechanics 1 Problemy Analiza. Issues of Analysis 1 Journal of Mathematical Modeling 1 Sahand Communications in Mathematical Analysis 1 International Journal of Applied and Computational Mathematics 1 Vestnik Rossiĭskikh Universitetov. Matematika all top 5 Cited in 27 Fields 144 Numerical analysis (65-XX) 114 Integral equations (45-XX) 54 Operator theory (47-XX) 8 Partial differential equations (35-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 6 Functional analysis (46-XX) 5 Ordinary differential equations (34-XX) 5 Approximations and expansions (41-XX) 4 Probability theory and stochastic processes (60-XX) 3 Astronomy and astrophysics (85-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Abstract harmonic analysis (43-XX) 2 Statistics (62-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX) Citations by Year