Sufficient condition on matrix to tridiagonalize
$begingroup$
consider a possibly infinite quadratic matrix $A$. Based on this post: Decomposition into a tridiagonal matrix I am wondering whether there are sufficient conditions aside from $A$ being symmetric for such a decomposition to exist. I am especially interested in the case when the matrix has zero-sum columns and can be written as a sum of a lower triangular matrix $T$ and an upper bidiagonal matrix $B$, i.e., $A=T+B$.
Any ideas are appreciated!
linear-algebra matrix-decomposition tridiagonal-matrices
asked Jan 7 at 12:19
JfischerJfischer
33
$endgroup$
add a comment |
$begingroup$
consider a possibly infinite quadratic matrix $A$. Based on this post: Decomposition into a tridiagonal matrix I am wondering whether there are sufficient conditions aside from $A$ being symmetric for such a decomposition to exist. I am especially interested in the case when the matrix has zero-sum columns and can be written as a sum of a lower triangular matrix $T$ and an upper bidiagonal matrix $B$, i.e., $A=T+B$.
Any ideas are appreciated!
linear-algebra matrix-decomposition tridiagonal-matrices
asked Jan 7 at 12:19
JfischerJfischer
33
$endgroup$
add a comment |
$begingroup$
consider a possibly infinite quadratic matrix $A$. Based on this post: Decomposition into a tridiagonal matrix I am wondering whether there are sufficient conditions aside from $A$ being symmetric for such a decomposition to exist. I am especially interested in the case when the matrix has zero-sum columns and can be written as a sum of a lower triangular matrix $T$ and an upper bidiagonal matrix $B$, i.e., $A=T+B$.
Any ideas are appreciated!
linear-algebra matrix-decomposition tridiagonal-matrices
asked Jan 7 at 12:19
JfischerJfischer
33
$endgroup$
consider a possibly infinite quadratic matrix $A$. Based on this post: Decomposition into a tridiagonal matrix I am wondering whether there are sufficient conditions aside from $A$ being symmetric for such a decomposition to exist. I am especially interested in the case when the matrix has zero-sum columns and can be written as a sum of a lower triangular matrix $T$ and an upper bidiagonal matrix $B$, i.e., $A=T+B$.
Any ideas are appreciated!
linear-algebra matrix-decomposition tridiagonal-matrices
linear-algebra matrix-decomposition tridiagonal-matrices
asked Jan 7 at 12:19
JfischerJfischer
33
asked Jan 7 at 12:19
JfischerJfischer
33
asked Jan 7 at 12:19
JfischerJfischer
33
asked Jan 7 at 12:19
JfischerJfischer
33
asked Jan 7 at 12:19
JfischerJfischer
33
33
add a comment |
add a comment |
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