AbstractA matrix T is said to co-transpose a square matrix A if T−1AT=A′ and T−1A′T=A. For every n⩾3 there exists a real n×n matrix which cannot be co-transposed by any matrix. However, it is shown that the following classes of real matrices can be co-transposed by a symmetric matrix of order two: 2×2 matrices, normal matrices, and matrices whose square is symmetric
AbstractLet k be a field, and let S,T,S1,T1 be skew-symmetric matrices over k with S,S1 both nonsing...
AbstractBy means of an eigenvector and eigenvalue of a real symmetric matrix A, a unitary matrix U i...
AbstractSeveral mutually equivalent conditions are proved for a polynomial of degree n and a symmetr...
AbstractA matrix T is said to co-transpose a square matrix A if T−1AT=A′ and T−1A′T=A. For every n⩾3...
AbstractAny square matrix over a field is similar to its transpose and any square complex matrix is ...
AbstractIt is known that for every real square matrix A there exists a nonsingular real symmetric ma...
AbstractIt is shown that if a nonsingular linear transformation T on the space of n-square real symm...
AbstractSimultaneous nonorthogonal congruence transformations for pairs A, B of 2 × 2 real symmetric...
AbstractLet A1, A2 be given n-by-n Hermitian or symmetric matrices, and consider the simultaneous tr...
AbstractLet k be a field, and let S,T,S1,T1 be skew-symmetric matrices over k with S,S1 both nonsing...
AbstractIt is shown that if a nonsingular linear transformation T on the space of n-square real symm...
Introduction: Although the results already have been published (partially) by Frobenius in 1910 (see...
Introduction: Although the results already have been published (partially) by Frobenius in 1910 (see...
AbstractIn this paper two complex square matrices A and B are said to be simultaneously normalizable...
F. A matrix A is called positive definite if all of its eigenval-ric systems can be transformed into...
AbstractLet k be a field, and let S,T,S1,T1 be skew-symmetric matrices over k with S,S1 both nonsing...
AbstractBy means of an eigenvector and eigenvalue of a real symmetric matrix A, a unitary matrix U i...
AbstractSeveral mutually equivalent conditions are proved for a polynomial of degree n and a symmetr...
AbstractA matrix T is said to co-transpose a square matrix A if T−1AT=A′ and T−1A′T=A. For every n⩾3...
AbstractAny square matrix over a field is similar to its transpose and any square complex matrix is ...
AbstractIt is known that for every real square matrix A there exists a nonsingular real symmetric ma...
AbstractIt is shown that if a nonsingular linear transformation T on the space of n-square real symm...
AbstractSimultaneous nonorthogonal congruence transformations for pairs A, B of 2 × 2 real symmetric...
AbstractLet A1, A2 be given n-by-n Hermitian or symmetric matrices, and consider the simultaneous tr...
AbstractLet k be a field, and let S,T,S1,T1 be skew-symmetric matrices over k with S,S1 both nonsing...
AbstractIt is shown that if a nonsingular linear transformation T on the space of n-square real symm...
Introduction: Although the results already have been published (partially) by Frobenius in 1910 (see...
Introduction: Although the results already have been published (partially) by Frobenius in 1910 (see...
AbstractIn this paper two complex square matrices A and B are said to be simultaneously normalizable...
F. A matrix A is called positive definite if all of its eigenval-ric systems can be transformed into...
AbstractLet k be a field, and let S,T,S1,T1 be skew-symmetric matrices over k with S,S1 both nonsing...
AbstractBy means of an eigenvector and eigenvalue of a real symmetric matrix A, a unitary matrix U i...
AbstractSeveral mutually equivalent conditions are proved for a polynomial of degree n and a symmetr...
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