Johnson. Sign patterns that require repeated eigenvalues. Linear Algebra Appl. 190:169-179, 1993.Carolyn A. EschenbachCharles R. Johnson.Sign patterns that require repeated eigenvalues. Linear Algebra and Its Applications . 1993Sign patterns that require repeated eigenvalues. Eschenbach, Carolyn A.,...
CV Pao - 《Linear Algebra & Its Applications》 被引量: 52发表: 1973年 Criteria for the reality of matrix eigenvalues In this note we are, essentially, concerned with generalizations of the (known) fact that an n matrix with n linearly independent eigenvectors all corresp... MP Drazin,EV Ha...
DifferentialEquations LECTURE34 RepeatedEigenvalues Thefinalcaseweneedtoconsiderinvolvesrepeatedeigenvalues.Intheprevioustwocases, wehaddistincteigenvalues,which,asTheorem31.3afewlecturesagotoldus,havelinearly independenteigenvectors.Thus,allwehadtodowastocalculatethoseeigenvectorsandwrite downsolutionsoftheform x ...
MATH 374 Lecture 24 Repeated Eigenvalues 8.6: Repeated Eigenvalues For the problem X’ = AX (1) what happens if some of the eigenvalues of A are repeated? Repeated Eigenvalues X’ = AX (1) Theorem 8.9 Example 1 X’ = AX (1) One Eigenvector Case Let’s consider the case when m is ...
Eigenvalues and eigenfunctions of the Laplacian via inverse iteration with shift In this paper we present an iterative method, inspired by the inverse iteration with shift technique of finite linear algebra, designed to find the eigenva... RJ Biezuner,G Ercole,BL Giacchini,... - 《Applied Mat...
2.3. Translation Analyticity To separate the eigenvalues from the continuous spectrum, we use analytic spectral deformation theory acting on the (radial) variable s of the reservoir R. Recall the definition (1.10) of the translation. It is not difficult to see that Kθ := T (θ)−1KT (...
x2 + b2(x1): An ?1 eleqmbe1n0(txa2r)yb2c0o(mx1p)u: tOautirondeshnoitwiosntshoaft the Jacobian matrix DF(x1; linear stability and instability x2) has eigenvalues of x correspond to Bena m & Hirsch: Dynamical Systems and Repeated Games October 31, 1997 16 the synonymous properties ...
Iterative computation of derivatives of repeated eigenvalues and the corresponding eigenvectors. Andrew,A. L.,Tan,R. C. E. Numerical Linear Algebra with Applications . 2000Andrew, A.L., Tan, R.C.E.: Iterative computation of derivatives of repeated eigenvalues and the corresponding eigenvectors. ...
eigenvaluesfirst-order derivativesnondefective eigensystemsdifferentiable eigenvectorsnormalization condition/ A0260 Numerical approximation and analysis A0210 Algebra, set theory, and graph theory B0290H Linear algebra (numerical analysis) B0290M Numerical integration and differentiation C4140 Linear algebra (...
SI Wong K.P., Feng D., and Siu W-.C9 "Generalized Linear Least Squares Algorithm for Non-uniformly Sampled Biomedical System Identification With Possible Repeated Eigenvalues ", Submitted to International Journal of Systems Science, 511996.