Antieigenvalue theory
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applied mathematics Applied mathematics is the application of mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business, computer science, and industry. Thus, applied mathematics is a combination of mathematical s ...
, antieigenvalue theory was developed by
Karl Gustafson Karl may refer to: People * Karl (given name), including a list of people and characters with the name * Karl der Große, commonly known in English as Charlemagne * Karl Marx, German philosopher and political writer * Karl of Austria, last Austri ...
from 1966 to 1968. The theory is applicable to
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. The antieigenvectors x are the vectors most turned by a matrix or operator A, that is to say those for which the angle between the original vector and its transformed image is greatest. The corresponding antieigenvalue \mu is the cosine of the maximal turning angle. The maximal turning angle is \phi(A) and is called the angle of the operator. Just like the eigenvalues which may be ordered as a spectrum from smallest to largest, the theory of antieigenvalues orders the antieigenvalues of an operator A from the smallest to the largest turning angles.


References

* * . Operator theory Matrix theory {{mathapplied-stub