## Duke Mathematical Journal

- Duke Math. J.
- Volume 13, Number 3 (1946), 387-395.

### Limits for the characteristic roots of a matrix

#### Article information

**Source**

Duke Math. J. Volume 13, Number 3 (1946), 387-395.

**Dates**

First available in Project Euclid: 22 February 2004

**Permanent link to this document**

http://projecteuclid.org/euclid.dmj/1077473736

**Digital Object Identifier**

doi:10.1215/S0012-7094-46-01333-6

**Mathematical Reviews number (MathSciNet)**

MR0017728

**Zentralblatt MATH identifier**

0061.01504

**Subjects**

Primary: 09.0X

#### Citation

Brauer, Alfred. Limits for the characteristic roots of a matrix. Duke Math. J. 13 (1946), no. 3, 387--395. doi:10.1215/S0012-7094-46-01333-6. http://projecteuclid.org/euclid.dmj/1077473736.

#### See also

- See also: Alfred Brauer. Limits for the characteristic roots of a matrix. II. Duke Math. J. Vol. 14, No. 1 (1947), pp. 21–26.Project Euclid: euclid.dmj/1077473986
- See also: Alfred Brauer. Limits for the characteristic roots of a matrix. III. Duke Math. J. Vol. 15, No. 3 (1948), pp. 871–877.Project Euclid: euclid.dmj/1077475039
- See also: Alfred Brauer. Limits for the characteristic roots of a matrix. IV: Applications to stochastic matrices. Duke Math. J. Vol. 19, No. 1 (1952), pp. 75–91.Project Euclid: euclid.dmj/1077477043
- See also: Alfred Brauer. Limits for the characteristic roots of a matrix. V. Duke Math. J. Vol. 19, No. 4 (1952), pp. 553–562.Project Euclid: euclid.dmj/1077477503
- See also: Alfred Brauer, H. T. LaBorde. Limits for the characteristic roots of a matrix. VI: Numerical computation of characteristic roots and of the error in the approximate solution of linear equations. Duke Math. J. Vol. 22, No. 2 (1955), pp. 253–261.Project Euclid: euclid.dmj/1077466271
- See also: Alfred Brauer. Limits for the characteristic roots of a matrix. VII. Duke Math. J. Vol. 25, No. 4 (1958), pp. 583–590.Project Euclid: euclid.dmj/1077468191