## 7 Citations

### G-varieties and the principal minors of symmetric matrices

- Mathematics
- 2010

G-Varieties and the Principal Minors of Symmetric Matrices. (May 2009) Luke Aaron Oeding, B.A., Franklin & Marshall College Chair of Advisory Committee: Dr. J.M. Landsberg The variety of principal…

### SPECTRAL PROPERTIES OF SIGN SYMMETRIC MATRICES

- Mathematics
- 2005

Spectral properties of sign symmetric matrices are studied.A criterion for sign symmetry of shifted basic circulant permutation matrices is proven, and is then used to answer the question which…

### A Bibliography of Publications in Linear Algebra and its Applications: 1980{1989

- Physics
- 1997

(AB) = B− mrA − lr [WHG79]. (k) [Cha79]. (k, n) [MT79]. 0 [JGK79]. 0− 1 [HP78]. 2 [Sto79]. 2× 2 [Est79]. 3× 3 [AYP79]. A [Nic79]. AB +BA [Nic79]. AX − Y B = C [BK79a]. AX = B [PM79]. AXC = B [PM79].…

### Set-theoretic defining equations of the variety of principal minors of symmetric matrices

- Mathematics
- 2011

The variety of principal minors of $n\times n$ symmetric matrices, denoted $Z_{n}$, is invariant under the action of a group $G\subset \GL(2^{n})$ isomorphic to $\G$. We describe an irreducible…

### Theorems and counterexamples on structured matrices

- Mathematics
- 2005

The subject of Chapter 1 is GKK $\tau$-matrices and related topics. Chapter 2 is devoted to boundedly invertible collections of matrices, with applications to operator norms and spline approximation.…

### in Linear Algebra and its Applications : 1990 – 1999

- Mathematics
- 1997

(J.J ′) [?]. (λ,G) [?]. (p, q) [?]. ( AB C0) [?]. (u, i) [?]. ∗ [?, ?]. −1− 2 [?]. 0 [?]. {0, 12 , 1} [?]. 0,±1 [?]. 1 [?, ?, ?, ?]. 2 [?, ?, ?, ?, ?, ?, ?]. 2K [?]. 2× 2 [?, ?, ?, ?, ?, ?]. 3 [?].…

### R A ] 5 S ep 2 00 1 Open problems on GKK τ-matrices

- Computer Science
- 2001

Several open problems on GKK τ -matrices raised by examples showing that some such matrices are unstable are proposed.

### A pr 2 00 6 Hyperdeterminantal relations among symmetric principal minors

- Mathematics
- 2008

The principal minors of a symmetric n×n-matrix form a vector of length 2n. We characterize these vectors in terms of algebraic equations derived from the 2×2×2-hyperdeterminant.

## References

SHOWING 1-9 OF 9 REFERENCES

### The Hadamard-Fischer inequality for a class of matrices defined by eigenvalue monotonicity

- Mathematics, Philosophy
- 1976

1) Spec A[Jl.l n IR =1= t/>, for t/> c Jl. S (n), 2) I(A[J-L]) « I(A[v]), if t/> c v S Jl. S (n), where I(A[Jl.]) = min(Spec A[Jl.l n IR). For A, BE W(n), define A «, B by I(A[J-L]) « I(B[J-L]), for…

### A class of positive stable matrices

- Mathematics
- 1974

The characteristic roots of this matrix are, approximately , 6_85 and 2_58 ± O_28i_ It is perhaps ~f interest, however , that ~ll positiye sign-symmetric matrices are positive stable, i_ eo, all…

### On some conjectures on the spectra of τ-matrices

- Mathematics
- 1984

We will consider three conjectures of Schneider and Varga concerning the location of eigenvalues of ω- and τ-matices in the complex plane, and extend the known results to n ⩽ 4. We will further show…

### Oscillation matrices and kernels and small vibrations of mechanical systems

- Mathematics
- 1961

Introduction Review of matrices and quadratic forms Oscillatory matrices Small oscillations of mechanical systems with $n$ degrees of freedom Small oscillations of mechanical systems with an infinite…

### Recent results in linear algebra and its applications (in Russian)

- in: Numerical Methods in Linear Algebra, Proceedings of the Third Seminar of Numerical Applied Mathematics, Akad. Nauk SSSR Sibirsk. Otdel. Vychisl. Tsentr, Novosibirsk
- 1978

### Recent results in linear algebra and its applications (in Russian), in: Numerical Methods in Linear Algebra

- Proceedings of the Third Seminar of Numerical Applied Mathematics, Akad. Nauk SSSR Sibirsk. Otdel. Vychisl. Tsentr
- 1978