1952

DOI: 10.6028/nbs.rpt.1644

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Computational methods of linear algebra:

V. N. Faddeeva¹

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Relaxed Monte Carlo Methods1

Proof1

Canonical Decomposition Of Hessenberg Matricest1

Uh-g1

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Cited by 90 publications

(128 citation statements)

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“…Following the arguments of Faddeev and Faddeeva [7,8], this Relaxed Monte Carlo method will converge if…”

Section: Relaxed Monte Carlo Methodsmentioning

confidence: 99%

Relaxed Monte Carlo Linear Solver

¹

,

²

2001

Computational Science — ICCS 2001

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Abstract. The problem of solving systems of linear algebraic equations by parallel Monte Carlo numerical methods is considered. A parallel Monte Carlo method with relaxation is presented. This is a report of a research in progress, showing the effectiveness of this algorithm. Theoretical justification of this algorithm and numerical experiments are presented. The algorithms were implemented on a cluster of workstations using MPI.

“…Following the arguments of Faddeev and Faddeeva [7,8], this Relaxed Monte Carlo method will converge if…”

Section: Relaxed Monte Carlo Methodsmentioning

confidence: 99%

Relaxed Monte Carlo Linear Solver

¹

,

²

2001

Computational Science — ICCS 2001

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Abstract. The problem of solving systems of linear algebraic equations by parallel Monte Carlo numerical methods is considered. A parallel Monte Carlo method with relaxation is presented. This is a report of a research in progress, showing the effectiveness of this algorithm. Theoretical justification of this algorithm and numerical experiments are presented. The algorithms were implemented on a cluster of workstations using MPI.

“…Hence, we apply Leverrier-Faddeeva algorithm [16] for getting the characteristic equation of |sI − A| = 0 to the relation (5). We set in (5)…”

Section: Proofmentioning

confidence: 99%

A Reduction Technique for RLCG Interconnects Using Least Squares Method

¹

,

²

,

³

et al. 2005

IEICE Transactions on Fundamentals of Electronics, Communicatio

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“…These are the necessary and sufficient conditions for the triangular decomposition, see [2] or [3]. Thus and is a polynomial in A¿.…”

Section: Canonical Decomposition Of Hessenberg Matricestmentioning

confidence: 99%

Canonical decomposition of Hessenberg matrices

1967

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No abstract

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