Abstract
One can show that the A-norm is a vector norm on \(\mathbb{R}^{n}\) without using the fact that it is an inner product norm. Show this with the help of the Cholesky factorization of A.
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Lyche, T., Muntingh, G., Ryan, Ø. (2020). The Conjugate Gradient Method. In: Exercises in Numerical Linear Algebra and Matrix Factorizations . Texts in Computational Science and Engineering, vol 23. Springer, Cham. https://doi.org/10.1007/978-3-030-59789-4_13
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DOI: https://doi.org/10.1007/978-3-030-59789-4_13
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