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Upper Hessenberg matrix
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Algebra
Linear algebra
Vector space
Linear map
Matrix
Hessenberg matrix
Created
2026-09-24
Updated
2026-10-31
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An
upper Hessenberg matrix
has zero entries below its
first
subdiagonal:
a
ij
=
0
whenever
i
>
j
+
1
.
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Hessenberg matrix
Matrix
Linear map
Vector space
Linear algebra
Algebra
Area of mathematics
Mathematics
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Arnoldi decomposition
Arnoldi iteration
Hessenberg matrix
Lanczos algorithm
LU decomposition of an upper Hessenberg matrix
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