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For questions about inverses and pseudoinverses of matrices.

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Sufficient conditions for invertibility of a block tridiagonal matrix

This is a partial answer. These theorems are still too weak to cover the given test matrix. The following theorems generalize those in Tridiagonal matrices: inversion and conditioning to all rational …
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1 vote

Sufficient conditions for invertibility of a block tridiagonal matrix

The following is a list of answers I know for some specific cases. However, they are not strong enough for my uses. Simple conditions A sufficient, but weak condition is that $C_i = 0$ for each $i$. …
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5 votes
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Sufficient conditions for invertibility of a block tridiagonal matrix

Let $M_n \in \mathbb{R}^{N \times N}$ be a block-tridiagonal matrix: $$M_n = \begin{bmatrix} B_1 & C_1 & 0 & 0 & \cdots & 0 \\ A_1 & B_2 & C_2 & 0 & \cdots & 0 \\ 0 & A_2 & B_3 & C_3 & \cdots & 0 \\ …
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