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article · Canadian Mathematical Bulletin · 1968

Circumscribing an Ellipsoid about the Intersection of Two Ellipsoids

W. Kahan

Cited by 52Open access

Abstract

An ellipsoid G is associated uniquely with a positive definite matrix A via Note that all ellipsoids discussed here are centred at 0. Given G1, and G2 we seek another ellipsoid circumscribed about G1 ∩ G2. It is easy to see that if and only if x'hx ≤ maxi x'aix for all vectors x.

Cite this paper

APA 7

Kahan, W. (1968). Circumscribing an Ellipsoid about the Intersection of Two Ellipsoids. Canadian Mathematical Bulletin, 11(3), 437–441. https://doi.org/10.4153/cmb-1968-050-2

MLA 9

Kahan, W. “Circumscribing an Ellipsoid about the Intersection of Two Ellipsoids.” Canadian Mathematical Bulletin, vol. 11, no. 3, 1968, pp. 437–41, https://doi.org/10.4153/cmb-1968-050-2.

Chicago

Kahan, W. 1968. “Circumscribing an Ellipsoid about the Intersection of Two Ellipsoids.” Canadian Mathematical Bulletin 11 (3): 437–41. https://doi.org/10.4153/cmb-1968-050-2.

Harvard

Kahan, W. (1968) ‘Circumscribing an Ellipsoid about the Intersection of Two Ellipsoids’, Canadian Mathematical Bulletin, 11(3), pp. 437–441. Available at: https://doi.org/10.4153/cmb-1968-050-2.

BibTeX
@article{kahan1968circumscribing,
  title = {{Circumscribing an Ellipsoid about the Intersection of Two Ellipsoids}},
  author = {Kahan, W.},
  journal = {Canadian Mathematical Bulletin},
  volume = {11},
  number = {3},
  pages = {437--441},
  year = {1968},
  doi = {10.4153/cmb-1968-050-2}
}

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