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Eigenvalues and eigenvectors of a tridiagonal block matrix

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Exponential of a symmetric 2-tridiagonal matrix

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Property of symmetric tridiagonal matrices with an eigenvalue of multiplicity $m$

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Eigenvectors of a tridiagonal stochastic matrix

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Exponential of a symmetric tridiagonal Toeplitz matrix

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Determinant of a tridiagonal matrix

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#eigenvalues-eigenvectors #recurrence-relations #determinant #tridiagonal-matrices
280
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On matrix tridiagonalization

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#linear-algebra #matrices #matrix-decomposition #orthogonal-matrices #tridiagonal-matrices
207
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Properties of solutions to system of linear equations with diagnonally dominant, positive (definite) matrix

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#linear-algebra #systems-of-equations #positive-definite #tridiagonal-matrices
64
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No two successive leading principal minors of tridiagonal matrices share common eigenvalues

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#linear-algebra #matrices #solution-verification #tridiagonal-matrices
29
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Determinant of a tridiagonal matrix with constant values $5,3,2$ on the main, upper and lower diagonals

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#determinant #tridiagonal-matrices
34
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Computational advantage for tensor product operators

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#linear-algebra #tensor-products #numerical-linear-algebra #diagonalization #tridiagonal-matrices
186
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Eigenvalues of an $n \times n$ symmetric tridiagonal matrix

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153
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Proving that a symmetric tridiagonal matrix is positive definite

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Does there exist a unitary matrix such that $Uv=\|v\|e_{1}$ for $v\in\Bbb{C}^{n}$?

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#linear-algebra #matrices #random-matrices #unitary-matrices #tridiagonal-matrices
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How can I numerically obtain the eigenvalues of the second-order derivative from the discretization matrix?

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