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Pose quadratic equation with matrix coefficients in eigenvalue form

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#linear-algebra #eigenvalues-eigenvectors #matrix-equations #generalized-eigenvector
60
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Generalized Eigenvectors Lemma from Artin's "Algebra"

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#linear-algebra #abstract-algebra #eigenvalues-eigenvectors #linear-transformations #generalized-eigenvector
28
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Can multiple generalized eigenvectors of higher rank get mapped to the same generalized eigenvector of lower rank?

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#linear-algebra #generalized-eigenvector
82
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Are generalized eigenvectors orthogonal to eachother if the problem is symmetric?

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#linear-algebra #matrices #eigenvalues-eigenvectors #generalized-eigenvector
42
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On Orthogonality of Generalized Eigenspaces

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#linear-algebra #jordan-normal-form #generalized-eigenvector
15
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Why does increasing the block size in the block Lancsoz algorithm help me find all the eigenvalues I'm looking for?

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#linear-algebra #eigenvalues-eigenvectors #generalized-eigenvector
104
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Generalized Eigenspaces of Composed Operators

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#linear-algebra #vector-spaces #generalized-eigenvector
23
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generalized implicitly restarted lanczos method

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#linear-algebra #computational-mathematics #generalized-eigenvector
66
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generalized eigenspace is the same as the eigenspace of the semi-simple part.

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57
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Eigenvalues and eigenspaces of automorphisms

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#linear-algebra #reference-request #eigenvalues-eigenvectors #lie-algebras #generalized-eigenvector
163
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Effect of rank-one update on the smallest eigenvalue and its eigenvector

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#linear-algebra #optimization #eigenvalues-eigenvectors #numerical-linear-algebra #generalized-eigenvector
2k
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A linear operator $T:V\rightarrow V$ has a cyclic vector iff $f_T=m_T$ (minimal polynomial=characteristic polynomial)

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#linear-algebra #eigenvalues-eigenvectors #linear-transformations #minimal-polynomials #generalized-eigenvector
124
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How to find generalized Eigen vectors of a matrix with Eigen vectors already on diagonal?

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#eigenvalues-eigenvectors #systems-of-equations #generalized-eigenvector
58
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Can a polynomial with degree (r+s-1) have (r+s) distinct roots?

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#linear-algebra #eigenvalues-eigenvectors #generalized-eigenvector
1.6k
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Generalized eigenvectors for Jordan canonical form (and theory)

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#linear-algebra #eigenvalues-eigenvectors #vectors #jordan-normal-form #generalized-eigenvector

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