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metode de calcul numeric matriceal. algoritmi fundamentali

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iv<br />

Bibliografie generală<br />

• Pentru chestiuni teoretice <strong>de</strong> <strong>calcul</strong> <strong>matriceal</strong>:<br />

[ I ] Gantmaher F.R. Teoriia matriţ (ediţia a 2-a), Ed. Nauka, Moscova,<br />

1966. (The Theory of Matrices, vols. 1-2, Chelsea, New York, 1959).<br />

[ II ] Horn R.A., Johnson C.R. Matrix Analysis, Cambridge University<br />

Press, Cambridge UK, 1985.<br />

[ III ] Strang G. Introduction to Linear Algebra, Wellesley-Cambridge<br />

Press, Wellesley, MA, USA, 1993.<br />

• Pentru <strong>algoritmi</strong> <strong>de</strong> <strong>calcul</strong> <strong>matriceal</strong>:<br />

[ IV] Wilkinson J.H. The Algebraic Eigenvalue Problem, Clarendon Press,<br />

Oxford, 1965.<br />

[ V] Stewart G. W. Introduction to Matrix Computations, Aca<strong>de</strong>mic<br />

Press, New York and London, 1973.<br />

[ VI ] Golub G. H., Van Loan Ch. F. Matrix Computations, Second edition,<br />

The John Hopkins University Press, Baltimore, Maryland, 1989.<br />

[ VII ] Lawson C.L., Hanson R.J. Solving Least Squares Problems, SIAM,<br />

Phila<strong>de</strong>lphia, PA, USA, 1995.<br />

• Pentru studiul condiţionării problemelor <strong>de</strong> <strong>calcul</strong> <strong>matriceal</strong> şi al stabilităţii<br />

<strong>numeric</strong>e a <strong>algoritmi</strong>lor aferenţi:<br />

[ VIII ] Stewart G.W., Sun J. Matrix Perturbation Theory, Aca<strong>de</strong>mic<br />

Press, London, 1990.<br />

[ IX] Higham N.J. Accuracy and Stability of Numerical Algorithms,<br />

SIAM, Phila<strong>de</strong>lphia PA, 1996.<br />

• Pentru programe <strong>de</strong> <strong>calcul</strong> şi indicaţii <strong>de</strong> utilizare:<br />

[ X] Wilkinson J.H., Reinsch C. Handbook for Automatic Computation.<br />

Linear Algebra, Springer-Verlag Berlin, 1971.<br />

[ XI ] Smith B.T., Boyle J.M., Ikebe Y., Klema V.C., Moler C.B. Matrix<br />

Eigensystem Routines: EISPACK Gui<strong>de</strong>, 2-nd ed., Springer–Verlag,<br />

New York, 1974.<br />

[ XII ] Garbow B.S., Boyle J.M., Dongarra J.J., Moler C.B. Matrix<br />

Eigensystem Routines: EISPACK Gui<strong>de</strong> Extension, Springer–Verlag,<br />

New York, 1977.<br />

[ XIII ] Dongarra J.J., Bunch J.R., Moler C.B., Stewart G.W. LINPACK<br />

User’s Gui<strong>de</strong>, SIAM Publications, Phila<strong>de</strong>lphia, PA, 1978.<br />

[ XIV] MATLAB User’s Gui<strong>de</strong>, The MathWorks Inc., Natick, MA, USA, 1992.

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