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Bauer, F. L.: On the definition of condition numbers and on their relation to closed methods for solving linear systems. International Congress Information Processing 1959 (Unesco Paris). München: Oldenbourg. S. 109–110. 1960
Bauer, F. L.: Error Analysis of Elimination Methods. Internal Report, Institute of Applied Mathematics, Mainz University; 1960.
Bauer, F. L.: Optimal scaling of matrices and the importance of the minimal condition. Lecture, IFIP-Congress Munich 1962.
—: On the Field of Values Subordinate to a Norm. Num. Math.4, 103–113 (1962).
—:, andA. S. Householder: Some inequalities involving the euclidean condition of a matrix. Num. Math.2, 308–311 (1960).
——: Absolute norms and characteristic roots. Num. Math.3, 241–246 (1961).
—:,J. Stoer andC. Witzgall: Absolute and monotonic norms. Num. Math.3, 257–264 (1961).
Gastinel, N.: Thèses présentées à la faculté des sciences de l'université de Grenoble (1960): Matrices du second degré et normes générales en analyse numérique linéaire. Le théorème de Stone-Weierstrass.
Householder, A. S.: The approximate solution of matrix problems. J. Assoc. Comp. Mach.5, 204–243 (1958).
Ostrowski, A. M.: Über Normen von Matrizen. Math. Z.63, 2–18 (1955).
Stoer, J., andC. Witzgall: Transformations by Diagonal Matrices in a Normed Space. Num. Math.4, 158–171 (1962).
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Bauer, F.L. Optimally scaled matrices. Numer. Math. 5, 73–87 (1963). https://doi.org/10.1007/BF01385880
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DOI: https://doi.org/10.1007/BF01385880