AbstractRelationships are given between controllability conditions involving a square, complex matrix and functions of the matrix. These are used to prove new results, generalizing the Main Inertia Theorem and correcting recent work of Chen
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...
AbstractWith quasicommutative n-square complex matrices A1,…,As and s-square hermitian G=(gij), rela...
AbstractRecently the idea of controllability has been used to generalize Lyapunov's theorem and the ...
AbstractRelationships are given between controllability conditions involving a square, complex matri...
AbstractIf H is a Hermitian matrix and W = AH + HA∗ is positive definite, then A has as many eigenva...
AbstractLet A be an n × n complex matrix with inertia In(A) = (π(A), ϑ(A), δ(A)), and let H be an n ...
AbstractThe main concern of this work is a description of inertia characteristics applicable to both...
AbstractThe matrix equation SA+A∗S=S∗B∗BS is studied, under the assumption that (A, B∗) is controlla...
AbstractIn a paper of the same title, Carlson and Hill [2] established results in inertia theory and...
AbstractCriteria are given for the controllability of certain pairs of tridiagonal matrices. These c...
AbstractGeneralizing a result of Schwarz [4], an inertia theorem for tridiagonal matrices is proved....
The matrix equation SA+A*S=S*B*BS is studied, under the assumption that (A, B*) is controllable, but...
AbstractLet A be an n × n complex matrix with inertia In(A) = (π(A), ϑ(A), δ(A)), and let H be an n ...
AbstractUsing elementary matrix algebra we establish the following theorems: (1.3) Let H be any n×n ...
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...
AbstractWith quasicommutative n-square complex matrices A1,…,As and s-square hermitian G=(gij), rela...
AbstractRecently the idea of controllability has been used to generalize Lyapunov's theorem and the ...
AbstractRelationships are given between controllability conditions involving a square, complex matri...
AbstractIf H is a Hermitian matrix and W = AH + HA∗ is positive definite, then A has as many eigenva...
AbstractLet A be an n × n complex matrix with inertia In(A) = (π(A), ϑ(A), δ(A)), and let H be an n ...
AbstractThe main concern of this work is a description of inertia characteristics applicable to both...
AbstractThe matrix equation SA+A∗S=S∗B∗BS is studied, under the assumption that (A, B∗) is controlla...
AbstractIn a paper of the same title, Carlson and Hill [2] established results in inertia theory and...
AbstractCriteria are given for the controllability of certain pairs of tridiagonal matrices. These c...
AbstractGeneralizing a result of Schwarz [4], an inertia theorem for tridiagonal matrices is proved....
The matrix equation SA+A*S=S*B*BS is studied, under the assumption that (A, B*) is controllable, but...
AbstractLet A be an n × n complex matrix with inertia In(A) = (π(A), ϑ(A), δ(A)), and let H be an n ...
AbstractUsing elementary matrix algebra we establish the following theorems: (1.3) Let H be any n×n ...
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...
AbstractWith quasicommutative n-square complex matrices A1,…,As and s-square hermitian G=(gij), rela...
DOI
Add to ORKG