References
Bauer, F. L., J. Stoer, andC. Witzgall: Absolute and Monotonic Norms. Numer. Math.3, 257–264 (1961).
— On the Field of Values Subordinate to a Norm. Numer. Math.4, 103–111 (1962).
Busemann, H.: Convex Surfaces. New York: Interscience Publishers 1958.
Givens, W.: Fields of Values of a Matrix. Proc. Amer. Math. Soc.3, 206–209 (1952).
Hardy, G. E., J. E. Littlewood, andG. Polya: Inequalities, 2nd ed. Cambridge: Cambridge University Press 1959.
Hausdorff, F.: Der Wertevorrat einer Bilinearform. Math. Z.3, 314–316 (1919).
Householder, A. S.: The Approximate Solution of Matrix Problems. J. Assoc. Comp. Mach.5, 205–243 (1958).
—: The Theory of Matrices in Numerical Analysis. New York: Blaisdell Publishing Co. 1964.
Lumer, G.: Semi-inner-product Spaces. Trans. Amer. Math. Soc.100, 29–43 (1961).
Toeplitz, O.: Das Algebraische Analogon zu einem Satz vonFejer. Math. Z.2, 187–197 (1918).
Author information
Authors and Affiliations
Additional information
ToAlston S. Householder on his sixtieth birthday.
This research was partly supported by the National Science Foundation, under grant NSF GP-2273 and by the Mathematics Research Center, United States Army, Madison, Wisconsin, under Contract No.: DA-11-022-ORD-2059.
Rights and permissions
About this article
Cite this article
Nirschl, N., Schneider, H. The bauer fields of values of a matrix. Numer. Math. 6, 355–365 (1964). https://doi.org/10.1007/BF01386085
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01386085