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Eigenvalues of a particular tridiagonal matrix with a variation on one of its diagonal entries

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#linear-algebra #eigenvalues-eigenvectors #tridiagonal-matrices
659
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Upper bound on the $\|\cdot\|_2$ norm of a tridiagonal matrix

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#linear-algebra #matrices #matrix-norms #tridiagonal-matrices #spectral-norm
159
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Elementary block matrix operations to block-triangularize block tridiagonal matrix

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#matrices #systems-of-equations #block-matrices #tridiagonal-matrices
1.2k
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About the eigenvalues of a block Toeplitz (tridiagonal) matrix

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#linear-algebra #eigenvalues-eigenvectors #tridiagonal-matrices
473
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Make a sparse matrix to a banded matrix via re-indexing

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#matrices #tridiagonal-matrices
528
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Matrix determinant closed form

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#matrices #determinant #tridiagonal-matrices
1.1k
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How can I efficiently calculate the inverse of this symmetric near-tridiagonal matrix?

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#matrices #inverse #numerical-linear-algebra #tridiagonal-matrices
429
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Alternative computation of eigenvalues of this tridiagonal matrix

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#linear-algebra #eigenvalues-eigenvectors #alternative-proof #tridiagonal-matrices
377
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Lower bound for eigenvalues of tridiagonal Toeplitz matrix

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#matrices #inequality #symmetric-matrices #tridiagonal-matrices #toeplitz-matrices
51
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The inverse of even band matrices

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#matrices #reference-request #symmetric-matrices #sparse-matrices #tridiagonal-matrices
330
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Solve the matrix equation $\sin(X)=\begin{pmatrix}1 & a\\0 & 1\end{pmatrix}$

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#linear-algebra #matrices #diagonalization #tridiagonal-matrices
154
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Given a tridiagonal Matrix $K_n \in \mathbb{R}^{n\times n}$ with specific elements, show that det$(K_n) = n+1$

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#linear-algebra #induction #determinant #laplace-expansion #tridiagonal-matrices
641
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Solve Linear Equation to Tridiagonal Matrix?

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#matrices #numerical-methods #numerical-linear-algebra #tridiagonal-matrices
1.4k
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Inverse of a symmetric tridiagonal almost-Toeplitz matrix

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#linear-algebra #matrices #recurrence-relations #generating-functions #tridiagonal-matrices
161
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Eigenvalue Decomposition of a Triadiagonal Matrix

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#matrices #eigenvalues-eigenvectors #matrix-decomposition #tridiagonal-matrices

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