Abstract
We consider once again a system of nonlinear equations
but now assume that the number n of equations is larger than the number pof unknowns.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Björck, A. [1967]: Solving linear least squares problems by Gram-Schmidt orthogonalization, BIT 7, 1–21.
Dennis, J.E. and Schnabel, R.B. [1983]: Numerical Methods for Unconstrained Optimization and Nonlinear Equations, Prentice-Hall, Englewood Cliffs, N.J.
Dongarra, J.J., Moler, C.B., Bunch, J.R. and Stewart, G.W. [1979]: LINPACK Users’ Guide, SIAM, Philadelphia.
Fletcher, R. [1987]: Practical Methods of Optimization, 2nd ed., Wiley, Chichester.
Gill, P.E., Murray, W. and Wright, M.H. [1981]: Practical Optimization, Academic Press, London.
Golub, G.H. and Van Loan, C.F. [1989]: Matrix Computations, 2nd ed., The Johns Hopkins University Press, Baltimore.
Higham, N.J. and Stewart, G.W. [1987]: Numerical linear algebra in statistical computing, in State of the Art in Numerical Analysis (A. Iserles and M.J.D. Powell, eds.), pp. 41–57. Clarendon Press, Oxford.
IMSL [1987]: Math/Library User’s Manual, Houston.
Kahaner, D., Moler, C. and Nash, S. [1989]: Numerical Methods and Software, Prentice- Hall, Englewood Cliffs, N.J.
Lawson, C.L. and Hanson, R.J. [1974]: Solving Least Squares Problems, Prentice-Hall, Englewood Cliffs, N.J.
Moré, J.J. [1977]: The Levenberg-Marquardt algorithm: implementation and theory, in Numerical Analysis (G.A. Watson, ed.), Lecture Notes Math. 630, pp. 105–116, Springer, New York.
Moré, J.J., Garbow, B.S. and Hillstrom, K.E. [1980]: User Guide for MINPACK-1, Argonne National Laboratory, Report ANL-80–74.
Rice, J.R. [1966]: Experiments on Gram-Schmidt orthogonalization, Math. Comp. 20, 325–328.
Editor information
Rights and permissions
Copyright information
© 1990 Birkhäuser Boston
About this chapter
Cite this chapter
Rutishauser, H. (1990). Least Squares Problems. In: Gutknecht, M. (eds) Lectures on Numerical Mathematics. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-3468-5_5
Download citation
DOI: https://doi.org/10.1007/978-1-4612-3468-5_5
Publisher Name: Birkhäuser Boston
Print ISBN: 978-1-4612-8035-4
Online ISBN: 978-1-4612-3468-5
eBook Packages: Springer Book Archive