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Generalized eigenspace calculation

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#vector-spaces #eigenvalues-eigenvectors #generalized-eigenvector
78
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Generalized eigenvector question (ODE system)

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#ordinary-differential-equations #eigenvalues-eigenvectors #generalized-eigenvector
105
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Self-consistent non-linear eigenproblem

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#linear-algebra #eigenvalues-eigenvectors #nonlinear-optimization #generalized-eigenvector
200
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How did we find the generalized eigenvectors corresponding to the eigenvalue 2 here pg.305 in Golan.

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#linear-algebra #functional-analysis #eigenvalues-eigenvectors #definition #generalized-eigenvector
76
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Reducing trace minimization to generalized eigenvalue problem

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#linear-algebra #eigenvalues-eigenvectors #variational-analysis #generalized-eigenvector
69
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Is this notion of an eigenvector for an $r$-tuple of matrices known?

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#linear-algebra #algebraic-geometry #eigenvalues-eigenvectors #generalized-eigenvector
35
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Optimize sum of the square of hermitian forms

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#optimization #maxima-minima #quadratic-forms #generalized-eigenvector #sesquilinear-forms
1k
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Is every invariant subspace also a generalized eigenspace?

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#linear-algebra #eigenvalues-eigenvectors #invariant-subspace #generalized-eigenvector
935
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Is every invariant subspace equal to some $\text{null}(T-\lambda I)^n$?

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#linear-algebra #eigenvalues-eigenvectors #invariant-subspace #generalized-eigenvector
96
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If exists an Eigenspace $V_{\lambda}$ with dim($V_{\lambda}) \geq 2$, the $f$-invariant subspaces are infinite

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#linear-algebra #eigenvalues-eigenvectors #linear-transformations #invariant-subspace #generalized-eigenvector
130
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The sequence $\{\ker(f-\lambda Id)^{k} - \ker(f-\lambda Id)^{k-1} \}_{k}$ is decreasing

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#linear-algebra #eigenvalues-eigenvectors #jordan-normal-form #generalized-eigenvector
38
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Finding the Jordan basis of a $4 \times 4$ matrix

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#linear-algebra #jordan-normal-form #generalized-eigenvector
118
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Confused between two methods of calculating the generalized eigenvectors.

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#linear-algebra #eigenvalues-eigenvectors #generalized-eigenvector
47
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Proving $\overline{\ker(A-\lambda {\rm Id})^{r}} = \ker(A-\overline{\lambda}{\rm Id})^{r}.$

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#linear-algebra #linear-transformations #jordan-normal-form #generalized-eigenvector
393
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SVD for Diagonalizing Differential Equation Systems

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#linear-algebra #ordinary-differential-equations #eigenvalues-eigenvectors #svd #generalized-eigenvector

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