Add to ORKGProceedings of the Fourth Conference of the International Linear Algebra Society.Let A be an n-by-n nonderogatory matrix all of whose eigenvalues lie on the unit circle, and let and be nonnegative integers with + = n. Let ′ and ′ be positive integers and ′ a nonnegative integer with ′ + ′ + ′ = n. In this paper we explore the existence of a Hermitian nonsingular matrix K with inertia ( , , 0), such that the Stein transformation of K corresponding to A, SA(K) = K − AKA*, is a Hermitian matrix with inertia ( ′, ′, ′). The study is done by reducing A to Jordan canonical form. If C is an n-by-n nonderogatory matrix all of whose eigenvalues lie on the imaginary axis, then the results obtained for SA(K) are valid for the Lyapunov tra...
AbstractLet n1, n2, n3 be nonnegative integers. We consider Hermitian matrices H of the form H=H11H1...
AbstractUsing elementary matrix algebra we establish the following theorems: (1.3) Let H be any n×n ...
AbstractIn the Stein (or, equivalently, the Lyapunov) equation, we show that the only joint constrai...
Proceedings of the Fourth Conference of the International Linear Algebra Society.Let A be an n-by-n ...
AbstractLet A be an n-by-n nonderogatory matrix all of whose eigenvalues lie on the unit circle, and...
AbstractLet L∈Cn×n and let H,K∈Cn×n be Hermitian matrices.Some already known results, including the ...
Let L ∈ Cn × n and let H, K ∈ Cn × n be Hermitian matrices. The general inertia theorem gives a comp...
Let L ∈ Cn × n and let H, K ∈ Cn × n be Hermitian matrices. Some already known results, including th...
AbstractLet L∈Cn×n and let H,K∈Cn×n be Hermitian matrices. The general inertia theorem gives a compl...
AbstractMotivated by the definition of the inertia, introduced by Ostrowski and Schneider, a notion ...
AbstractLet n be an even integer such that n ⩾ 4. Let T be an invertible linear map on the space of ...
We present a new proof and extension of the classical Sylvester Inertia Theorem to a pair of non-Her...
AbstractGiven the inertias of H and K, hermitian and nonsingular, the precise set of possible inerti...
AbstractDefinition: A Hermitian matrix H is a Hermitian extension of a given set of Hermitian matric...
The matrix equation SA+A*S=S*B*BS is studied, under the assumption that (A, B*) is controllable, but...
AbstractLet n1, n2, n3 be nonnegative integers. We consider Hermitian matrices H of the form H=H11H1...
AbstractUsing elementary matrix algebra we establish the following theorems: (1.3) Let H be any n×n ...
AbstractIn the Stein (or, equivalently, the Lyapunov) equation, we show that the only joint constrai...
Proceedings of the Fourth Conference of the International Linear Algebra Society.Let A be an n-by-n ...
AbstractLet A be an n-by-n nonderogatory matrix all of whose eigenvalues lie on the unit circle, and...
AbstractLet L∈Cn×n and let H,K∈Cn×n be Hermitian matrices.Some already known results, including the ...
Let L ∈ Cn × n and let H, K ∈ Cn × n be Hermitian matrices. The general inertia theorem gives a comp...
Let L ∈ Cn × n and let H, K ∈ Cn × n be Hermitian matrices. Some already known results, including th...
AbstractLet L∈Cn×n and let H,K∈Cn×n be Hermitian matrices. The general inertia theorem gives a compl...
AbstractMotivated by the definition of the inertia, introduced by Ostrowski and Schneider, a notion ...
AbstractLet n be an even integer such that n ⩾ 4. Let T be an invertible linear map on the space of ...
We present a new proof and extension of the classical Sylvester Inertia Theorem to a pair of non-Her...
AbstractGiven the inertias of H and K, hermitian and nonsingular, the precise set of possible inerti...
AbstractDefinition: A Hermitian matrix H is a Hermitian extension of a given set of Hermitian matric...
The matrix equation SA+A*S=S*B*BS is studied, under the assumption that (A, B*) is controllable, but...
AbstractLet n1, n2, n3 be nonnegative integers. We consider Hermitian matrices H of the form H=H11H1...
AbstractUsing elementary matrix algebra we establish the following theorems: (1.3) Let H be any n×n ...
AbstractIn the Stein (or, equivalently, the Lyapunov) equation, we show that the only joint constrai...