Davis, BillUhl, Jerry
In our research we estimate the asymptotics (with #36;n #92;to #92;infty#36;) of the joint error of approximation for the first #36;n#36; eigenvalues and eigenvectors of the operator by the eigenvalues and eigenvectors of the finite submatrixof order #36;n #92;times n#36;. The ...
Let {e1, . . . , eh} be an orthogonal basis of Ci−1(Lk(v)) with respect to (·, ·)v which consists of v-eigenvectors. Write τv f = j a j e j . Then h ( vτv f, τv f )v ≤ Mi−1(Lk(v)) a2j (e j , e j )v ≤λim−a1x(X ) · (τv f, τ...
It is shown that a definite problem has a complete system of eigenvectors and its eigenvalues are real. Under perturbations of A and B, the eigenvalues beh... GW Stewart 被引量: 159发表: 1977年 REFINED PERTURBATION BOUNDS FOR EIGENVALUES OF HERMITIAN AND NON-HERMITIAN MATRICES. We present eig...
A symmetric real matrix admits only real eigenvalues. We show how one can find these eigenvalues as well as their corresponding eigenvectors without using Mathematica's built-in commands (Eigenvalues and Eigenvectors). This iterative technique is described in great details in the book by Kenneth J....
Furthermore we show that eigenvectors corresponding to large eigenvalues induce dominating sets in G.CLEMENS BRANDInstitut fuer Mathematik und Angewandte Geometrie Montanuniversitaet Leoben Franz-Josef-Strasse 18 A-8700 Leoben AUSTRIANORBERT SEIFTER
value decomposition(SVD) for computing its eigenvectors and Jordan canonical form was proposed.Numerical simulation shows that this algorithm has good effect in computing the eigenvectors and its Jordan canonical form of a matrix with multiplex eigenvalues.It is superior to MATLAB and MATHEMATICA.迟...
value decomposition(SVD) for computing its eigenvectors and Jordan canonical form was proposed.Numerical simulation shows that this algorithm has good effect in computing the eigenvectors and its Jordan canonical form of a matrix with multiplex eigenvalues.It is superior to MATLAB and MATHEMATICA.迟...
singular value decomposition(SVD)for computing its eigenvectors and Jordan canonical form was proposed.Numerical simulation shows that this algorithm has good effect in computing the eigenvectors and its Jordan canonical form of a matrix with multiplex eigenvalues.It is superior to MATLAB and MATHEMATICA...
For a matrix with multiplex eigenvalues,an algorithm based on the singular value decomposition(SVD) for computing its eigenvectors and Jordan canonical form was proposed. 若当(Jordan)形是矩阵在相似条件下的一个标准形,在代数理论及其工程应用中都具有十分重要的意义· 针对具有重特征值的矩阵,提出了一种...