Zusammenfassung
Bei den direkten Verfahren zur Lösung eines linearen Gleichungssystems Ax=b mit A∈Mn (ℝ) und b∈ℝn wird die Koeffizientenmatrix A im Laufe der Rechnung verändert, das ursprüngliche Problem wird in ein einfacher zu lösendes transformiert (z.B. bei der LR-Zerlegung in A(n−1)x=Rx=L−1PTb).
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© 1985 B. G. Teubner, Stuttgart
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Bunse, W., Bunse-Gerstner, A. (1985). Iterative Verfahren zur Lösung Linearer Gleichungssysteme. In: Numerische lineare Algebra. Teubner Studienbücher Mathematik. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-322-96645-2_3
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DOI: https://doi.org/10.1007/978-3-322-96645-2_3
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