Add to ORKGLet A be Hermitian and let the orthonormal columns of X span an approximate invariant subspace of X. Then the residual R = AX XM (M = X H AX) will be small. The theorems of this paper bound the distance of the spectrum of M from the spectrum of A in terms of appropriate norms of R
This is the second part of a paper that deals with error estimates for the Rayleigh-Ritz approximati...
AbstractMotivated by the interest in a more thorough understanding of the relationship between the e...
AbstractIf a matrix A of unit norm on n-dimensional Hilbert space has eigenvalues close to zero, the...
... this paper bound the distance of the spectrum of M from the spectrum of A in terms of appropriat...
Let $A$ be Hermitian and let the orthonormal columns of $X$ span an approximate invariant subspace o...
A welk=l known inequality of Kahan for the distance between the eigenvalues of a Hermitian matrix an...
AbstractLet H be a Hermitian matrix, X an orthonormal matrix, and M = X∗HX. Then the eigenvalues of ...
AbstractLet n × n Hermitian matrix A have eigenvalues λ1, λ2, …, λn, let k × k Hermitian matrix H ha...
AbstractThis is the second part of a paper that deals with error estimates for the Rayleigh–Ritz app...
AbstractThis is the first part of a paper that deals with error estimates for the Rayleigh–Ritz appr...
Let T=A+iB where A B are Hermitian matrices. We obtain several inequalities relating the lp distance...
AbstractThe well-known Cauchy theorem connects the eigenvalues of a Hermitian matrix to the eigenval...
AbstractLetA=H1E∗EH2andA∼=H1OOH2 be Hermitian matrices with eigenvalues λ1⩾⋯⩾λk and λ∼1⩾⋯⩾λ∼k, respe...
AbstractIn the early seventies, Fried formulated bounds on the spectrum of assembled Hermitian posit...
AbstractThere is now a large literature on structured perturbation bounds for eigenvalue problems of...
This is the second part of a paper that deals with error estimates for the Rayleigh-Ritz approximati...
AbstractMotivated by the interest in a more thorough understanding of the relationship between the e...
AbstractIf a matrix A of unit norm on n-dimensional Hilbert space has eigenvalues close to zero, the...
... this paper bound the distance of the spectrum of M from the spectrum of A in terms of appropriat...
Let $A$ be Hermitian and let the orthonormal columns of $X$ span an approximate invariant subspace o...
A welk=l known inequality of Kahan for the distance between the eigenvalues of a Hermitian matrix an...
AbstractLet H be a Hermitian matrix, X an orthonormal matrix, and M = X∗HX. Then the eigenvalues of ...
AbstractLet n × n Hermitian matrix A have eigenvalues λ1, λ2, …, λn, let k × k Hermitian matrix H ha...
AbstractThis is the second part of a paper that deals with error estimates for the Rayleigh–Ritz app...
AbstractThis is the first part of a paper that deals with error estimates for the Rayleigh–Ritz appr...
Let T=A+iB where A B are Hermitian matrices. We obtain several inequalities relating the lp distance...
AbstractThe well-known Cauchy theorem connects the eigenvalues of a Hermitian matrix to the eigenval...
AbstractLetA=H1E∗EH2andA∼=H1OOH2 be Hermitian matrices with eigenvalues λ1⩾⋯⩾λk and λ∼1⩾⋯⩾λ∼k, respe...
AbstractIn the early seventies, Fried formulated bounds on the spectrum of assembled Hermitian posit...
AbstractThere is now a large literature on structured perturbation bounds for eigenvalue problems of...
This is the second part of a paper that deals with error estimates for the Rayleigh-Ritz approximati...
AbstractMotivated by the interest in a more thorough understanding of the relationship between the e...
AbstractIf a matrix A of unit norm on n-dimensional Hilbert space has eigenvalues close to zero, the...