DOI: 10.1007/bf02144106. A parallel projection method for overdetermined nonlinear systems of equations

A parallel projection method for overdetermined nonlinear systems of equations

10.1007/bf02144106

Crossref journal-article

Springer Science and Business Media LLC

Numerical Algorithms (297)

Bibliography

Diniz-Ehrhardt, M. A., & Mario MartÃnez, J. (1993). A parallel projection method for overdetermined nonlinear systems of equations. Numerical Algorithms, 4(2), 241â262.

Authors 2

Maria A. Diniz-Ehrhardt (first)
José Mario Martínez (additional)

References 34 Referenced 7

H.T. Banks and K. Kunisch,Estimation Techniques for Distributed Parameter Systems (Birkhäuser, Boston, Basel and Berlin, 1989). (10.1007/978-1-4612-3700-6) / Estimation Techniques for Distributed Parameter Systems by H.T. Banks (1989)
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T.N. Bishop et al., Tomographic determination of velocity and depth in laterally varying media, Geophysics 50 (1985) 903–923. (10.1190/1.1441970) / Geophysics by T.N. Bishop (1985)
Å. Björck, Least squares methods, inHandbook of Numerical Analysis vol. 1, eds. P. G. Ciarlet and J.L. Lions (Elsevier/North-Holland, 1987). / Handbook of Numerical Analysis by Å. Björck (1987)
C.G. Broyden, J.E. Dennis Jr. and J.J. Moré, On the local and superlinear convergence of quasi-Newton methods, J. Inst. Math. Appl. 12 (1973) 223–245. (10.1093/imamat/12.3.223) / J. Inst. Math. Appl. by C.G. Broyden (1973)
Y. Censor, Row-action methods for huge and sparse systems and their applications, SIAM Rev. 23 (1981) 444–466. (10.1137/1023097) / SIAM Rev. by Y. Censor (1981)
Y. Censor, D.E. Gustafson, A. Lent and H. Tuy, A new approach to the emission computerized tomography problem: simultaneous calculation of attenuation and activity coefficients, IEEE Trans. Nucl. Sci. NS-26 (1979) 2775–2779. (10.1109/TNS.1979.4330535) / IEEE Trans. Nucl. Sci. NS by Y. Censor (1979)
G. Cimmino, Calcolo approssimato per le soluzioni dei sistemi di equazioni lineari, La Ricerca Scientifica Ser II, Anno IV 1 (1938) 326–333. / La Ricerca Scientifica Ser II by G. Cimmino (1938)
J.E. Dennis Jr. and R.B. Schnabel,Numerical Methods for Unconstrained Optimization and Nonlinear Equations (Prentice-Hall, Englewood Cliffs, NJ, 1983). / Numerical Methods for Unconstrained Optimization and Nonlinear Equations by J.E. Dennis Jr. (1983)
A.R. De Pierro and A.N. Iusem, On the set of weighted least squares solutions of systems of convex inequalities, Comm. Math. Univ. Carol. 25 (1984) 667–678. / Comm. Math. Univ. Carol. by A.R. Pierro De (1984)
A.R. De Pierro and A.N. Iusem, A parallel projection method of finding a common point of a family of convex sets, Pesquisa Operacional 5 (1985) 1–20. / Pesquisa Operacional by A.R. Pierro De (1985)
A.R. De Pierro and A.N. Iusem, A simultaneous projections method for linear inequalities, Lin. Alg. Appl. 64 (1985) 243–253. (10.1016/0024-3795(85)90280-0) / Lin. Alg. Appl. by A.R. Pierro De (1985)
I.S. Duff, MA28—a set of FORTRAN subroutines for sparse unsymmetric linear equations, AERE R8730 (HMSO, London, 1977). / MA28—a set of FORTRAN subroutines for sparse unsymmetric linear equations / AERE R8730 by I.S. Duff (1977)
I.S. Duff, A.M. Erisman and J.K. Reid,Direct Methods for Sparse Matrices (Clarendon Press, Oxford, 1986). / Direct Methods for Sparse Matrices by I.S. Duff (1986)
A. George and M.T. Health, Solution of sparse linear least squares using Givens rotations, Lin. Alg. Appl. 34 (1980) 69–83. (10.1016/0024-3795(80)90159-7) / Lin. Alg. Appl. by A. George (1980)
A. George, M. T. Heath and E. Ng, A comparison of some methods for solving sparse leastsquares problems, SIAM J. Sci. Stat. Comput. 4 (1983) 177–187. (10.1137/0904013) / SIAM J. Sci. Stat. Comput. by A. George (1983)
J.A. George and J.W. Liu,Computer Solution of Large Sparse Positive Definite Systems (Prentice-Hall, Englewood Cliffs, NJ, 1981). / Computer Solution of Large Sparse Positive Definite Systems by J.A. George (1981)
G.H. Golub and Ch.F. Van Loan,Matrix Computations (The Johns Hopkins University Press, Baltimore and London, 1989). / Matrix Computations by G.H. Golub (1989)
M.A. Gomes-Ruggiero, J.M. Martínez and A.C. Moretti, Comparing algorithms for solving sparse nonlinear systems of equations, SIAM J. Sci. Stat. Comput. 13 (1992) 459–483. (10.1137/0913025) / SIAM J. Sci. Stat. Comput. by M.A. Gomes-Ruggiero (1992)
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Dates

Type	When
Created	19 years, 11 months ago (Sept. 16, 2005, 3:24 a.m.)
Deposited	6 years, 3 months ago (May 14, 2019, 1:44 a.m.)
Indexed	1 year, 11 months ago (Sept. 14, 2023, 1 a.m.)
Issued	32 years, 2 months ago (June 1, 1993)
Published	32 years, 2 months ago (June 1, 1993)
Published Print	32 years, 2 months ago (June 1, 1993)

Funders 0

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BibTeX

@article{Diniz_Ehrhardt_1993, title={A parallel projection method for overdetermined nonlinear systems of equations}, volume={4}, ISSN={1572-9265}, url={http://dx.doi.org/10.1007/bf02144106}, DOI={10.1007/bf02144106}, number={2}, journal={Numerical Algorithms}, publisher={Springer Science and Business Media LLC}, author={Diniz-Ehrhardt, Maria A. and Mario Martínez, José}, year={1993}, month=jun, pages={241–262} }

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