An algorithm for computing powers of a Hessenberg matrix and its applications

DOI10.1016/0024-3795(76)90072-0zbMath0339.65018OpenAlexW2063100018MaRDI QIDQ1231378

Karabi Datta, Biswa N. Datta

Publication date: 1976

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(76)90072-0

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (7)

The matrix equation \(XA=A^ TX\) and an associated algorithm for solving the inertia and stability problems ⋮ The matrix equation \(XA-BX=R\) and its applications ⋮ Parallel algorithms for certain matrix computations ⋮ Polynomials with respect to a general basis. I: Theory ⋮ Computing powers of arbitrary Hessenberg matrices ⋮ Error-free matrix symmetrizers and equivalent symmetric matrices ⋮ Symbolic calculation of the trace of the power of a tridiagonal matrix

Cites Work

• Some theorems on the inertia of general matrices
• Matrices \(C\) with \(C^ n\to 0\)
• A remark on a theorem of Lyapunov
• Matrix equations and the separation of matrix eigenvalues
• Location of zeros of a complex polynomial
• A method of solving the stability-problem for complex matrices
• On the Ostrowski-Schneider inertia theorem
• SOLVING AN ALGEBRAIC EQUATION BY DETERMINING HIGH POWERS OF AN ASSOCIATED MATRIX USING THE CAYLEY—HAMILTON THEOREM
• Application of Hankel matrix to the root location problem
• A New Algorithm for Inner Product
• A Solution of the Bilinear Matrix Equation $AY + YB = - Q$

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