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Matrix analysis

- R. Horn, Charles R. Johnson
- Computer Science, Mathematics
- 1 December 1985

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Topics in Matrix Analysis

- R. Horn, Charles R. Johnson
- Mathematics, Computer Science
- 1 April 1991

1. The field of values 2. Stable matrices and inertia 3. Singular value inequalities 4. Matrix equations and Kronecker products 5. Hadamard products 6. Matrices and functions.

Positive definite completions of partial Hermitian matrices

- R. Grone, Charles R. Johnson, E. M. Sá, H. Wolkowicz
- Mathematics
- 1 April 1984

Abstract The question of which partial Hermitian matrices (some entries specified, some free) may be completed to positive definite matrices is addressed. It is shown that if the diagonal entries are… Expand

Totally Nonnegative Matrices

- Shaun M. Fallat, Charles R. Johnson
- Mathematics
- 1 May 2011

Totally nonnegative matrices arise in a remarkable variety of mathematical applications. This book is a comprehensive and self-contained study of the essential theory of totally nonnegative matrices,… Expand

Inverse M-matrices☆

- Charles R. Johnson
- Mathematics
- 1 October 1982

Abstract This is an attempt at a comprehensive expository study of those nonnegative matrices which happen to be inverses of M -matrices and is aimed at an audience conversant with basic ideas of… Expand

Row Stochastic Matrices Similar to Doubly Stochastic Matrices

- Charles R. Johnson
- Mathematics
- 1 April 1981

The problem of determining which row stochastic n-by-n matrices are similar to doubly stochastic matrices is considered. That not all are is indicated by example, and an abstract characterization as… Expand

Sufficient conditions for D-stability

- Charles R. Johnson
- Mathematics
- 1 September 1974

Abstract Sufficient conditions for an n by n matrix to be D-stable are surveyed. Use is made of some transformations under which the D-stables are invariant and relations among the conditions are… Expand

NUMERICAL DETERMINATION OF THE FIELD OF VALUES OF A GENERAL COMPLEX MATRIX

- Charles R. Johnson
- Mathematics
- 1 June 1978

For an $n \times n$ complex matrix A, the convexity of $F(A) \equiv \{ x^ * Ax:x^ * x = 1,x \in C^n \} $ and some simple observations are exploited to determine certain boundary points and tangents… Expand

The maximum multiplicity of an eigenvalue in a matrix whose graph is a tree

- Charles R. Johnson, António Leal Duarte
- Mathematics
- 1 July 1999

We study the maximum possible multiplicity of an eigenvalue of a matrix whose graph is a tree, expressing that maximum multiplicity in terms of certain parameters associated with the tree.

A note on cospectral graphs

- Charles R. Johnson, M. Newman
- Computer Science, Mathematics
- J. Comb. Theory, Ser. B
- 1 February 1980

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