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  1. Evaluate the determinant of a Hessenberg matrix

    Aug 17, 2017 · 0 I have published the following recurrent relation and explicit formula for the determinant at Evaluate the determinant of a Hessenberg matrix.

  2. linear algebra - Uniqueness of Hessenberg matrix in Cholesky ...

    Apr 7, 2024 · The latter determines the second column of the Hessenberg matrix because we have already chosen the first column. The proof is complete when you realize the left column …

  3. matrices - Hessenberg matrix and Householder transformations ...

    Jul 11, 2024 · Hessenberg matrix and Householder transformations Ask Question Asked 1 year, 3 months ago Modified 1 year, 2 months ago

  4. GMRES reducing Hessenberg - Mathematics Stack Exchange

    Oct 6, 2024 · I am reading Saad and am trying to go through problems that have appeared on qualifying exams given at my school. This problem deals with GMRES algorithm using Arnoldi …

  5. linear algebra - Eigenvalues of an unreduced Hessenberg Matrix ...

    Nov 13, 2025 · Eigenvalues of an unreduced Hessenberg Matrix Ask Question Asked 13 years, 3 months ago Modified 1 month ago

  6. Householder reduction to Hessenberg form - Mathematics Stack …

    Dec 21, 2022 · Householder reduction to Hessenberg form Ask Question Asked 3 years ago Modified 3 years ago

  7. Similar matrix whose square is a Hessenberg matrix

    Dec 8, 2023 · Moreover, matrix square-root algorithms typically begin by Schur factorization, e.g. how Julia does it, and since Schur factorization typically begins with Hessenberg factorization …

  8. Modifying the LU factorization algorithm to factor a Hessenberg …

    Mar 7, 2025 · Modify the LU factorization algorithm to efficiently factorize a Hessenberg matrix, where the LU factorization algorithm is as follows. function [A] = lu_kji (A)

  9. How to Compute Eigenvalue of a Hessenberg Matrix

    Dec 4, 2019 · In another situation, when I do the decomposition using my QR piece of code and using linalg.qr,i get the same absolute values, but some of them are negative, in the latter, and …

  10. Spectral radius of an infinite nonnegative Hessenberg Toeplitz matrix

    Feb 7, 2025 · Motivation I came across this matrix while working on some discrete dynamical system. It has to do with the contraction of the system. Basically, the spectral radius of the …