AbstractRecently the idea of controllability has been used to generalize Lyapunov's theorem and the main inertia theorem. Corresponding results are established in this paper for a large class of linear transformations on the space of n×n Hermitian matrices
AbstractIf H is a Hermitian matrix and W = AH + HA∗ is positive definite, then A has as many eigenva...
AbstractGiven n×n Hermitian matrices, H1,…,Hp, a complete description is found for the possible iner...
AbstractLet L be a square matrix. A well-known theorem due to Lyapunov states that L is positive sta...
AbstractRelationships are given between controllability conditions involving a square, complex matri...
AbstractIn a paper of the same title, Carlson and Hill [2] established results in inertia theory and...
AbstractLet A be an n × n complex matrix with inertia In(A) = (π(A), ϑ(A), δ(A)), and let H be an n ...
AbstractLet A be an n × n complex matrix with inertia In(A) = (π(A), ϑ(A), δ(A)), and let H be an n ...
AbstractIf H is a Hermitian matrix and W = AH + HA∗ is positive definite, then A has as many eigenva...
The matrix equation SA+A*S=S*B*BS is studied, under the assumption that (A, B*) is controllable, but...
AbstractThe matrix equation SA+A∗S=S∗B∗BS is studied, under the assumption that (A, B∗) is controlla...
AbstractWith quasicommutative n-square complex matrices A1,…,As and s-square hermitian G=(gij), rela...
AbstractRelationships are given between controllability conditions involving a square, complex matri...
AbstractLet L be a square matrix. A well-known theorem due to Lyapunov states that L is positive sta...
AbstractLet A be an n-by-n nonderogatory matrix all of whose eigenvalues lie on the unit circle, and...
AbstractIn a recent paper in this journal, we extended Poincaré's inequalities, which compare the nu...
AbstractIf H is a Hermitian matrix and W = AH + HA∗ is positive definite, then A has as many eigenva...
AbstractGiven n×n Hermitian matrices, H1,…,Hp, a complete description is found for the possible iner...
AbstractLet L be a square matrix. A well-known theorem due to Lyapunov states that L is positive sta...
AbstractRelationships are given between controllability conditions involving a square, complex matri...
AbstractIn a paper of the same title, Carlson and Hill [2] established results in inertia theory and...
AbstractLet A be an n × n complex matrix with inertia In(A) = (π(A), ϑ(A), δ(A)), and let H be an n ...
AbstractLet A be an n × n complex matrix with inertia In(A) = (π(A), ϑ(A), δ(A)), and let H be an n ...
AbstractIf H is a Hermitian matrix and W = AH + HA∗ is positive definite, then A has as many eigenva...
The matrix equation SA+A*S=S*B*BS is studied, under the assumption that (A, B*) is controllable, but...
AbstractThe matrix equation SA+A∗S=S∗B∗BS is studied, under the assumption that (A, B∗) is controlla...
AbstractWith quasicommutative n-square complex matrices A1,…,As and s-square hermitian G=(gij), rela...
AbstractRelationships are given between controllability conditions involving a square, complex matri...
AbstractLet L be a square matrix. A well-known theorem due to Lyapunov states that L is positive sta...
AbstractLet A be an n-by-n nonderogatory matrix all of whose eigenvalues lie on the unit circle, and...
AbstractIn a recent paper in this journal, we extended Poincaré's inequalities, which compare the nu...
AbstractIf H is a Hermitian matrix and W = AH + HA∗ is positive definite, then A has as many eigenva...
AbstractGiven n×n Hermitian matrices, H1,…,Hp, a complete description is found for the possible iner...
AbstractLet L be a square matrix. A well-known theorem due to Lyapunov states that L is positive sta...
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