## Banach Journal of Mathematical Analysis

### A 1-norm bound for inverses of triangular matrices with monotone entries

#### Abstract

This paper provides some new bounds for $1-$norms of positive triangular matrices with monotonic column entries. The main theorem refines a recent inequality of Vecchio and Mallik in the case of constant diagonal. The results are shown to be in a sense best possible under the given constraints. En route some partial order inequalities are obtained.

#### Article information

Source
Banach J. Math. Anal., Volume 2, Number 1 (2008), 113 -122 .

Dates
First available in Project Euclid: 21 April 2009

https://projecteuclid.org/euclid.bjma/1240336280

Digital Object Identifier
doi:10.15352/bjma/1240336280

Mathematical Reviews number (MathSciNet)
MR2417528

Zentralblatt MATH identifier
1147.15018

#### Citation

Berenhaut , Kenneth S.; Guy , Richard T.; Vish , Nathaniel G. A 1-norm bound for inverses of triangular matrices with monotone entries. Banach J. Math. Anal. 2 (2008), no. 1, 113 --122. doi:10.15352/bjma/1240336280. https://projecteuclid.org/euclid.bjma/1240336280

#### References

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