Library

X
feed icon rss

Your email was sent successfully. Check your inbox.

An error occurred while sending the email. Please try again.

Proceed reservation?

Export
  • 1
    Electronic Resource
    Electronic Resource
    Eigenvalues of graded matrices and the condition numbers of a multiple eigenvalue (1990)
    Springer
    Numerische Mathematik 58 (1990), S. 703-712 
    Details
    ISSN: 0945-3245
    Keywords: AMS(MOS): 65F15 ; CR: G1.3
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary This paper concerns two closely related topics: the behavior of the eigenvalues of graded matrices and the perturbation of a nondefective multiple eigenvalue. We will show that the eigenvalues of a graded matrix tend to share the graded structure of the matrix and give precise conditions insuring that this tendency is realized. These results are then applied to show that the secants of the canonical angles between the left and right invariant of a multiple eigenvalue tend to characterize its behavior when its matrix is slightly perturbed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01385650
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 2
    Electronic Resource
    Electronic Resource
    On the invariance of perturbed null vectors under column scaling (1984)
    Springer
    Numerische Mathematik 44 (1984), S. 61-65 
    Details
    ISSN: 0945-3245
    Keywords: AMS(MOS): 65F20 ; 65F35 ; CR: G.1.3
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary It is shown that the approximate null vector of a perturbed degenerate matrix behaves linearly under column scaling up to second order terms in the perturbation. This result has important consequences for an estimation technique known to numerical analysts as total least squares and to statisticians as latent root regression.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01389755
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
Close ⊗
This website uses cookies and the analysis tool Matomo. More information can be found here...