AN EFFICIENT PARALLEL SYLVESTER EQUATION SOLVER BASED ON THE HESSENBERG-SCHUR METHOD∗

DOI10.1080/10637199508915527zbMath1049.68965OpenAlexW2079181407MaRDI QIDQ4820126

M. Marqués, Enrique S. Quintana, Vicente G. Hernández

Publication date: 6 October 2004

Published in: Parallel Algorithms and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10637199508915527

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Parallel numerical computation (65Y05)

Uses Software

• LAPACK

Cites Work

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• A parallel implementation of the QR-algorithm
• A recurrence among the elements of functions of triangular matrices
• Numerical linear algebra aspects of control design computations
• Parallel Solution of Triangular Systems on Distributed-Memory Multiprocessors
• A New Method for Solving Triangular Systems on Distributed-Memory Message-Passing Multiprocessors
• A Hessenberg-Schur method for the problem AX + XB= C
• A PARALLEL TRIANGULAR SYLVESTER EQUATION SOLVER BASED ON THE HESSENBERG-SCHUR METHOD∗
• Algorithm 432 [C2: Solution of the matrix equation AX + XB = C [F4]]

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