# Emilie Virginia Haynsworth

#66,473

Most Influential Person Across History

American mathematician

## Emilie Virginia Haynsworth's AcademicInfluence.com Rankings

Emilie Virginia Haynsworthmathematics Degrees

Mathematics

#3957

Historical Rank

Measure Theory

#4549

Historical Rank

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Mathematics

## Emilie Virginia Haynsworth's Degrees

- PhD Mathematics University of California, Berkeley
- Masters Mathematics University of California, Berkeley
- Bachelors Mathematics University of California, Berkeley

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## Why Is Emilie Virginia Haynsworth Influential?

(Suggest an Edit or Addition)According to Wikipedia, Emilie Virginia Haynsworth was an American mathematician at Auburn University who worked in linear algebra and matrix theory. She gave the name to Schur complements and is the namesake of the Haynsworth inertia additivity formula. She was known for the "absolute originality" of her mathematical formulations, her "strong and independent mind", her "fine sense of mathematical elegance", and her "strong mixture of the traditional and unconventional".

## Emilie Virginia Haynsworth's Published Works

### Published Works

- Determination of the inertia of a partitioned Hermitian matrix (1968) (222)
- A Generalization of the Schur Complement by Means of the Moore–Penrose Inverse (1974) (160)
- An identity for the Schur complement of a matrix (1969) (112)
- Generalized Inverse Formulas Using the Schur Complement (1974) (83)
- Two remarks on compositive matrices (1969) (54)
- Applications of an inequality for the Schur complement (1970) (43)
- On the inertia of some classes of partitioned matrices (1968) (39)
- Criteria for the reality of matrix eigenvalues (1962) (32)
- Polyhedral cones and positive operators (1974) (25)
- Applications of a theorem on partitioned matrices (1959) (24)
- Extreme Operators on Polyhedral Cones (1976) (21)
- Cones which are topheavy with respect to a norm (1973) (19)
- Reduction of a matrix using properties of the schur complement (1970) (18)
- Group inverses of certain nonnegative matrices (1979) (12)
- Complementable and almost definite matrices (1983) (11)
- Note on bounds for certain determinants (1957) (10)
- Bounds for determinants with dominant main diagonal (1953) (10)
- Quasi-stochastic matrices (1955) (9)
- Bound for the P-Condition Number of Matrices With Positive Roots (1961) (8)
- Bounds for determinants with positive diagonals (1960) (5)
- Group inverses of certain positive operators (1981) (4)
- A reduction formula for partitoned matrices (1960) (4)
- A theorem on matrices of 0’s and 1’s (1963) (4)
- Review of circulant matrices by Philip Davis (1982) (1)
- Special types of partitioned matrices (1961) (1)
- Advanced Problems: 6222-6227 (1978) (0)

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## What Schools Are Affiliated With Emilie Virginia Haynsworth?

Emilie Virginia Haynsworth is affiliated with the following schools: