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## Spedicato, Emilio

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 Author ID: spedicato.emilio Published as: Spedicato, E; Spedicato, E.; Spedicato, Emilio External Links: Wikidata
 Documents Indexed: 79 Publications since 1973, including 6 Books
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#### Co-Authors

 30 single-authored 7 Xia, Zunquan 6 Abaffy, Jozsef 6 Bodon, Elena 6 Mahdavi-Amiri, Nezam 4 Deng, Naiyang 4 Esmaeili, Hamid 3 Bertocchi, Marida 3 Chen, Zhi 3 Del Popolo, Antonino 3 Zhang, Liwei 2 Cavalli, Enrico 2 Li, Zhengfeng 2 Lukšan, Ladislav 2 Nicolai, Silvia 2 Vespucci, Maria Teresa 2 Zhu, Meifang 1 Abaffy, Joseph 1 Adib, Majid 1 Al-Baali, Mehiddin 1 Bartholomew-Biggs, Michael C. 1 Broyden, Charles George 1 Burmeister, Wolfgang 1 Dixon, Laurence C. W. 1 Galántai, Aurél 1 Ge, Rendong 1 Greenstadt, John 1 Huang, Ziqiao 1 Maggioni, Francesca 1 Mirnia, Kamal 1 Oren, Shmuel S. 1 Pang, Liping 1 Potra, Florian-Alexandru 1 Szegö, Giorgio 1 Tagliabue, Giorgio 1 Wang, Wei 1 Winter Althaus, Gabriel 1 Yang, Zhipeng 1 Yang, Ziliang
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#### Serials

 9 Optimization Methods & Software 5 Calcolo 5 Journal of Optimization Theory and Applications 4 Numerische Mathematik 3 Computing 3 Optimization 2 Journal of Computational and Applied Mathematics 2 Mathematical Programming 2 Bulletin of the Iranian Mathematical Society 2 NATO ASI Series. Series C. Mathematical and Physical Sciences 1 Journal of the Institute of Mathematics and its Applications 1 Annals of the Institute of Statistical Mathematics 1 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 1 Mathematische Operationsforschung und Statistik. Series Optimization 1 Advances in Mathematics 1 Mathematical and Computer Modelling 1 Journal of Dalian University of Technology 1 Surveys on Mathematics for Industry 1 Applications of Mathematics 1 Numerical Algorithms 1 Bollettino della Unione Matemàtica Italiana. Serie VI. B 1 Matemática Aplicada e Computacional 1 Mathematical Programming. Series A. Series B 1 Numerical Linear Algebra with Applications 1 Computational and Applied Mathematics 1 Publications of the University of Miskolc. Series D. Natural Sciences. Mathematics 1 Scientia Iranica 1 4OR 1 Bollettino della Unione Matematica Italiana. Series V. A 1 NATO ASI Series. Series F. Computer and Systems Sciences
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#### Fields

 66 Numerical analysis (65-XX) 37 Operations research, mathematical programming (90-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 7 General and overarching topics; collections (00-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 4 Computer science (68-XX) 3 Number theory (11-XX) 2 Systems theory; control (93-XX) 1 Approximations and expansions (41-XX)

#### Citations contained in zbMATH

59 Publications have been cited 494 times in 264 Documents Cited by Year
Optimal conditioning of self-scaling variable metric algorithms. Zbl 0342.90045
Oren, Shmuel S.; Spedicato, Emilio
1976
ABS projection algorithms: Mathematical techniques for linear and nonlinear equations. Zbl 0691.65022
Abaffy, Jozsef; Spedicato, Emilio
1989
A class of direct methods for linear systems. Zbl 0535.65009
Abaffy, Jozsef; Broyden, Charles; Spedicato, Emilio
1984
Computational experience with quasi-Newton algorithms for minimization problems of moderately large size. Zbl 0397.90088
Spedicato, E.
1978
The local convergence of ABS methods for nonlinear algebraic equations. Zbl 0609.65038
Abaffy, Jozsef; Galantai, Aurel; Spedicato, Emilio
1987
Broyden’s quasi-Newton methods for a nonlinear system of equations and unconstrained optimization: a review and open problems. Zbl 1308.90202
Al-Baali, Mehiddin; Spedicato, Emilio; Maggioni, Francesca
2014
A variable metric-method for function minimization derived from invariancy to nonlinear scaling. Zbl 0316.90066
Spedicato, E.
1976
Numerical experience with Newton-like methods for nonlinear algebraic systems. Zbl 0866.65033
Spedicato, E.; Huang, Z.
1997
A class of ABS algorithms for Diophantine linear systems. Zbl 1025.15003
Esmaeili, Hamid; Mahdavi-Amiri, Nezam; Spedicato, Emilio
2001
Variable metric methods for unconstrained optimization and nonlinear least squares. Zbl 0985.65066
2000
A bound to the condition number of canonical rank-two corrections and applications to the variable metric method. Zbl 0318.65029
Spedicato, E.
1975
ABS methods and ABSPACK for linear systems and optimization: A review. Zbl 1044.65021
Spedicato, Emilio; Bodon, Elena; Del Popolo, Antonino; Mahdavi-Amiri, Nezam
2003
Numerical experiments with the symmetric algorithm in the ABS class for linear systems. Zbl 0616.65032
Abaffy, J.; Spedicato, E.
1987
A class of rank-one positive definite quasi-Newton updates for unconstrained minimization. Zbl 0519.90075
Spedicato, Emilio
1983
The implicit $$LX$$ method of the ABS class. Zbl 0894.90111
Spedicato, E.; Xia, Zunquan; Zhang, Liwei
1997
A generalization of Huang’s method for solving systems of linear algebraic equations. Zbl 0563.65018
Abaffy, Joseph; Spedicato, Emilio
1984
A generalization of the ABS algorithm for linear systems. Zbl 0657.65040
Abaffy, Jozsef; Spedicato, Emilio
1986
Generating the integer null space and conditions for determination of an integer basis using the ABS algorithms. Zbl 1006.15005
Esmaeili, H.; Mahdavi-Amiri, N.; Spedicato, E.
2001
ABS algorithms for linear equations and ABSPACK. Zbl 0985.65022
Spedicato, E.; Xia, Z.; Bodon, E.; Del Popolo, A.
2000
A class of difference ABS-type algorithms for a nonlinear system of equations. Zbl 0838.65053
Spedicato, E.; Chen, Z.; Deng, N.
1994
A class of scaled direct methods for linear systems. Zbl 0714.65026
Abaffy, Jozsef; Spedicato, Emilio
1990
On a conjecture of Dixon and other topics in variable metric methods. Zbl 0398.65035
Spedicato, E.
1978
A note on the determination of the scaling parameters in a class of quasi-Newton methods for unconstrained minimization. Zbl 0384.65031
Spedicato, E.
1978
On condition numbers of matrices in rank-two minimisation algorithms. Zbl 0339.90053
Spedicato, Emilio
1975
Stability of Huang’s update for the conjugate gradient method. Zbl 0243.49013
Spedicato, E.
1973
ABS algorithms for linear equations and optimization. Zbl 0966.65051
Spedicato, Emilio; Xia, Zunquan; Zhang, Liwei
2000
Solution of linear least squares via the ABS algorithm. Zbl 0771.65020
Spedicato, Emilio; Bodon, Elena
1993
Numerical experiments with variations of the Gauss-Newton algorithm for nonlinear least squares. Zbl 0619.90068
Spedicato, E.; Vespucci, M. T.
1988
Variationally derived algorithms in the ABS class for linear systems. Zbl 0649.65022
Spedicato, E.
1987
On some classes of variationally derived quasi-Newton methods for systems of nonlinear algebraic equations. Zbl 0365.65033
1978
A method for solving the system of linear equations and linear inequalities. Zbl 1136.65063
Pang, Li-Ping; Spedicato, Emilio; Xia, Zun-Quan; Wang, Wei
2007
Broyden’s method as an ABS algorithm. Zbl 0991.65038
Adib, M.; Mahdavi-Amiri, N.; Spedicato, E.
1999
ABS algorithms from Luoyang to Beijing. Zbl 0892.90166
Spedicato, E.
1997
On a Newton-like method for constrained nonlinear minimization via slack variables. Zbl 0452.90067
Spedicato, E.
1982
Recent developments in the variable metric method for nonlinear unconstrained optimisation. Zbl 0339.90052
Spedicato, Emilio
1975
ABS solution of a class of linear integer inequalities and integer LP problems. Zbl 1039.90042
Esmaeili, Hamid; Mahdavi-Amiri, Nezam; Spedicato, Emilio
2001
A bibliography of the ABS methods. Zbl 0894.90136
Nicolai, Silvia; Spedicato, Emilio
1997
Ten years of ABS methods: A review of theoretical results and computational achievements. Zbl 0784.65021
Spedicato, Emilio
1993
Variations on the Gram–Schmidt and the Huang algorithms for linear systems: A numerical study. Zbl 0783.65029
Spedicato, Emilio; Vespucci, Maria Teresa
1993
Solving linear least squares by orthogonal factorization and pseudoinverse computation via the modified Huang algorithm in the ABS class. Zbl 0679.65027
Spedicato, E.; Bodon, E.
1989
A strict bound to the condition number of bordered positive definite matrices. Zbl 0628.15004
Spedicato, E.; Burmeister, W.
1988
Parameter estimation and least squares. Zbl 0472.93079
Spedicato, E.
1980
Explicit ABS solution of a class of linear inequality systems and LP problems. Zbl 1087.65060
Esmaeili, H.; Mahdavi-Amiri, N.; Spedicato, E.
2004
Computational experiments with ABS algorithms for KKT linear systems. Zbl 1014.90067
Bodon, E.; Del Popolo, A.; Luksan, L.; Spedicato, E.
2001
A generalization of the implicit LU algorithm to an arbitrary initial matrix. Zbl 0936.65022
Spedicato, E.; Zhu, M.
1999
ABS algorithms for linear equations and applications to optimization. Zbl 0897.65025
Spedicato, E.; Xia, Z. Q.; Zhang, L. W.; Mirnia, K.
1998
ABS methods for KT equations. Zbl 1052.90619
Spedicato, Emilio; Chen, Z.; Bodon, E.
1996
ABS methods for nonlinear optimization. Zbl 0828.90129
Spedicato, Emilio; Xia, Zunquan
1994
A local convergence theorem for nonlinear ABS algorithms. Zbl 0806.65047
Deng, N.; Spedicato, E.; Zhu, M.
1994
ABS algorithms for general linear systems. Zbl 0737.65019
Spedicato, E.
1991
Optimally conditioned scaled ABS algorithms for linear systems. Zbl 0688.65026
Spedicato, E; Yang, Z.
1990
A class of algorithms for sequential and parallel solution of algebraic linear and nonlinear systems. Zbl 0693.65020
Spedicato, Emilio
1989
Optimal conditioning parameter selection in the ABS class for linear algebraic systems. Zbl 0676.65037
Spedicato, Emilio
1988
Computational experience with rank-one positive definite quasi-Newton algorithms. Zbl 0614.90090
Spedicato, E.
1985
Computational performance of diagonalized multiplier Quasi-Newton methods for nonlinear optimization with equality constraints. Zbl 0444.65037
Bertocchi, M.; Cavalli, E.; Spedicato, E.
1980
Nonlinear optimization. Theory and algorithms. (The Proceedings of an International Summer School held at University of Bergamo, Italy, in September 1979 and repeated at the Hatfield Polytechnic, England, in July 1980). Zbl 0428.00012
Dixon, L. C. W. (ed.); Spedicato, E. (ed.); Szegö, G. P. (ed.)
1980
Computational experience with conjugate gradient algorithms. Zbl 0447.65035
Bertocchi, M.; Spedicato, E.
1979
Quasi-Newton methods for nonlinear unconstrained minimization: A review. Zbl 0393.90076
Spedicato, E.
1978
Algoritmi a lagrangiane per la minimizzazione di funzioni nonlineari con vincoli nonlineari. Zbl 0417.65032
Bertocchi, M.; Cavalli, E.; Spedicato, E.
1977
Broyden’s quasi-Newton methods for a nonlinear system of equations and unconstrained optimization: a review and open problems. Zbl 1308.90202
Al-Baali, Mehiddin; Spedicato, Emilio; Maggioni, Francesca
2014
A method for solving the system of linear equations and linear inequalities. Zbl 1136.65063
Pang, Li-Ping; Spedicato, Emilio; Xia, Zun-Quan; Wang, Wei
2007
Explicit ABS solution of a class of linear inequality systems and LP problems. Zbl 1087.65060
Esmaeili, H.; Mahdavi-Amiri, N.; Spedicato, E.
2004
ABS methods and ABSPACK for linear systems and optimization: A review. Zbl 1044.65021
Spedicato, Emilio; Bodon, Elena; Del Popolo, Antonino; Mahdavi-Amiri, Nezam
2003
A class of ABS algorithms for Diophantine linear systems. Zbl 1025.15003
Esmaeili, Hamid; Mahdavi-Amiri, Nezam; Spedicato, Emilio
2001
Generating the integer null space and conditions for determination of an integer basis using the ABS algorithms. Zbl 1006.15005
Esmaeili, H.; Mahdavi-Amiri, N.; Spedicato, E.
2001
ABS solution of a class of linear integer inequalities and integer LP problems. Zbl 1039.90042
Esmaeili, Hamid; Mahdavi-Amiri, Nezam; Spedicato, Emilio
2001
Computational experiments with ABS algorithms for KKT linear systems. Zbl 1014.90067
Bodon, E.; Del Popolo, A.; Luksan, L.; Spedicato, E.
2001
Variable metric methods for unconstrained optimization and nonlinear least squares. Zbl 0985.65066
2000
ABS algorithms for linear equations and ABSPACK. Zbl 0985.65022
Spedicato, E.; Xia, Z.; Bodon, E.; Del Popolo, A.
2000
ABS algorithms for linear equations and optimization. Zbl 0966.65051
Spedicato, Emilio; Xia, Zunquan; Zhang, Liwei
2000
Broyden’s method as an ABS algorithm. Zbl 0991.65038
Adib, M.; Mahdavi-Amiri, N.; Spedicato, E.
1999
A generalization of the implicit LU algorithm to an arbitrary initial matrix. Zbl 0936.65022
Spedicato, E.; Zhu, M.
1999
ABS algorithms for linear equations and applications to optimization. Zbl 0897.65025
Spedicato, E.; Xia, Z. Q.; Zhang, L. W.; Mirnia, K.
1998
Numerical experience with Newton-like methods for nonlinear algebraic systems. Zbl 0866.65033
Spedicato, E.; Huang, Z.
1997
The implicit $$LX$$ method of the ABS class. Zbl 0894.90111
Spedicato, E.; Xia, Zunquan; Zhang, Liwei
1997
ABS algorithms from Luoyang to Beijing. Zbl 0892.90166
Spedicato, E.
1997
A bibliography of the ABS methods. Zbl 0894.90136
Nicolai, Silvia; Spedicato, Emilio
1997
ABS methods for KT equations. Zbl 1052.90619
Spedicato, Emilio; Chen, Z.; Bodon, E.
1996
A class of difference ABS-type algorithms for a nonlinear system of equations. Zbl 0838.65053
Spedicato, E.; Chen, Z.; Deng, N.
1994
ABS methods for nonlinear optimization. Zbl 0828.90129
Spedicato, Emilio; Xia, Zunquan
1994
A local convergence theorem for nonlinear ABS algorithms. Zbl 0806.65047
Deng, N.; Spedicato, E.; Zhu, M.
1994
Solution of linear least squares via the ABS algorithm. Zbl 0771.65020
Spedicato, Emilio; Bodon, Elena
1993
Ten years of ABS methods: A review of theoretical results and computational achievements. Zbl 0784.65021
Spedicato, Emilio
1993
Variations on the Gram–Schmidt and the Huang algorithms for linear systems: A numerical study. Zbl 0783.65029
Spedicato, Emilio; Vespucci, Maria Teresa
1993
ABS algorithms for general linear systems. Zbl 0737.65019
Spedicato, E.
1991
A class of scaled direct methods for linear systems. Zbl 0714.65026
Abaffy, Jozsef; Spedicato, Emilio
1990
Optimally conditioned scaled ABS algorithms for linear systems. Zbl 0688.65026
Spedicato, E; Yang, Z.
1990
ABS projection algorithms: Mathematical techniques for linear and nonlinear equations. Zbl 0691.65022
Abaffy, Jozsef; Spedicato, Emilio
1989
Solving linear least squares by orthogonal factorization and pseudoinverse computation via the modified Huang algorithm in the ABS class. Zbl 0679.65027
Spedicato, E.; Bodon, E.
1989
A class of algorithms for sequential and parallel solution of algebraic linear and nonlinear systems. Zbl 0693.65020
Spedicato, Emilio
1989
Numerical experiments with variations of the Gauss-Newton algorithm for nonlinear least squares. Zbl 0619.90068
Spedicato, E.; Vespucci, M. T.
1988
A strict bound to the condition number of bordered positive definite matrices. Zbl 0628.15004
Spedicato, E.; Burmeister, W.
1988
Optimal conditioning parameter selection in the ABS class for linear algebraic systems. Zbl 0676.65037
Spedicato, Emilio
1988
The local convergence of ABS methods for nonlinear algebraic equations. Zbl 0609.65038
Abaffy, Jozsef; Galantai, Aurel; Spedicato, Emilio
1987
Numerical experiments with the symmetric algorithm in the ABS class for linear systems. Zbl 0616.65032
Abaffy, J.; Spedicato, E.
1987
Variationally derived algorithms in the ABS class for linear systems. Zbl 0649.65022
Spedicato, E.
1987
A generalization of the ABS algorithm for linear systems. Zbl 0657.65040
Abaffy, Jozsef; Spedicato, Emilio
1986
Computational experience with rank-one positive definite quasi-Newton algorithms. Zbl 0614.90090
Spedicato, E.
1985
A class of direct methods for linear systems. Zbl 0535.65009
Abaffy, Jozsef; Broyden, Charles; Spedicato, Emilio
1984
A generalization of Huang’s method for solving systems of linear algebraic equations. Zbl 0563.65018
Abaffy, Joseph; Spedicato, Emilio
1984
A class of rank-one positive definite quasi-Newton updates for unconstrained minimization. Zbl 0519.90075
Spedicato, Emilio
1983
On a Newton-like method for constrained nonlinear minimization via slack variables. Zbl 0452.90067
Spedicato, E.
1982
Parameter estimation and least squares. Zbl 0472.93079
Spedicato, E.
1980
Computational performance of diagonalized multiplier Quasi-Newton methods for nonlinear optimization with equality constraints. Zbl 0444.65037
Bertocchi, M.; Cavalli, E.; Spedicato, E.
1980
Nonlinear optimization. Theory and algorithms. (The Proceedings of an International Summer School held at University of Bergamo, Italy, in September 1979 and repeated at the Hatfield Polytechnic, England, in July 1980). Zbl 0428.00012
Dixon, L. C. W. (ed.); Spedicato, E. (ed.); Szegö, G. P. (ed.)
1980
Computational experience with conjugate gradient algorithms. Zbl 0447.65035
Bertocchi, M.; Spedicato, E.
1979
Computational experience with quasi-Newton algorithms for minimization problems of moderately large size. Zbl 0397.90088
Spedicato, E.
1978
On a conjecture of Dixon and other topics in variable metric methods. Zbl 0398.65035
Spedicato, E.
1978
A note on the determination of the scaling parameters in a class of quasi-Newton methods for unconstrained minimization. Zbl 0384.65031
Spedicato, E.
1978
On some classes of variationally derived quasi-Newton methods for systems of nonlinear algebraic equations. Zbl 0365.65033
1978
Quasi-Newton methods for nonlinear unconstrained minimization: A review. Zbl 0393.90076
Spedicato, E.
1978
Algoritmi a lagrangiane per la minimizzazione di funzioni nonlineari con vincoli nonlineari. Zbl 0417.65032
Bertocchi, M.; Cavalli, E.; Spedicato, E.
1977
Optimal conditioning of self-scaling variable metric algorithms. Zbl 0342.90045
Oren, Shmuel S.; Spedicato, Emilio
1976
A variable metric-method for function minimization derived from invariancy to nonlinear scaling. Zbl 0316.90066
Spedicato, E.
1976
A bound to the condition number of canonical rank-two corrections and applications to the variable metric method. Zbl 0318.65029
Spedicato, E.
1975
On condition numbers of matrices in rank-two minimisation algorithms. Zbl 0339.90053
Spedicato, Emilio
1975
Recent developments in the variable metric method for nonlinear unconstrained optimisation. Zbl 0339.90052
Spedicato, Emilio
1975
Stability of Huang’s update for the conjugate gradient method. Zbl 0243.49013
Spedicato, E.
1973
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#### Cited in 67 Serials

 32 Journal of Optimization Theory and Applications 22 Journal of Computational and Applied Mathematics 21 Optimization Methods & Software 15 Optimization 12 Applied Mathematics and Computation 10 Numerische Mathematik 8 Computers & Mathematics with Applications 8 Calcolo 8 Computing 8 Mathematical Programming 8 Numerical Algorithms 7 Journal of Applied Mathematics and Computing 6 Mathematical Programming. Series A. Series B 6 Computational Optimization and Applications 5 Kybernetika 5 International Journal of Computer Mathematics 4 European Journal of Operational Research 4 Computational and Applied Mathematics 4 CEJOR. Central European Journal of Operations Research 3 Applied Mathematical Modelling 3 Linear Algebra and its Applications 3 4OR 3 Thai Journal of Mathematics 2 Bulletin of the Australian Mathematical Society 2 Journal of Mathematical Analysis and Applications 2 Linear and Multilinear Algebra 2 Mathematical Methods in the Applied Sciences 2 Annals of the Institute of Statistical Mathematics 2 Computational Mathematics and Modeling 2 Journal of Global Optimization 2 Numerical Linear Algebra with Applications 2 Soft Computing 2 Journal of Interdisciplinary Mathematics 2 Mediterranean Journal of Mathematics 2 Numerical Algebra, Control and Optimization 2 Bulletin of Computational Applied Mathematics 1 Computer Methods in Applied Mechanics and Engineering 1 BIT 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Bulletin of the Iranian Mathematical Society 1 Applied Numerical Mathematics 1 Computers & Operations Research 1 Mathematical and Computer Modelling 1 SIAM Journal on Matrix Analysis and Applications 1 European Journal of Applied Mathematics 1 Applications of Mathematics 1 SIAM Journal on Optimization 1 SIAM Journal on Scientific Computing 1 INFORMS Journal on Computing 1 Mathematical Methods of Operations Research 1 Journal of Inequalities and Applications 1 Acta Mathematica Sinica. English Series 1 Computational Geosciences 1 Lobachevskii Journal of Mathematics 1 RAIRO. Operations Research 1 The ANZIAM Journal 1 Applied Mathematics E-Notes 1 Journal of Applied Mathematics 1 Journal of Industrial and Management Optimization 1 Optimization Letters 1 Mathematical Programming Computation 1 ISRN Applied Mathematics 1 Fuzzy Information and Engineering 1 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 1 Mathematical Sciences 1 Bollettino dell’Unione Matematica Italiana
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#### Cited in 25 Fields

 194 Numerical analysis (65-XX) 172 Operations research, mathematical programming (90-XX) 44 Calculus of variations and optimal control; optimization (49-XX) 22 Linear and multilinear algebra; matrix theory (15-XX) 7 Computer science (68-XX) 6 Number theory (11-XX) 3 Ordinary differential equations (34-XX) 3 Partial differential equations (35-XX) 3 Approximations and expansions (41-XX) 3 Probability theory and stochastic processes (60-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX)

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