All Fields
Computer Science
Medicine
FAQ
Contact
Sign in
On efficiency of critical-component method for solving degenerate and ill-posed systems of linear algebraic equations
G. A. Emel ’ yanenko
,
M. Emelianenko
,
T. T. Rakhmonov
,
E. B. Dushanov
,
G. Yu
Published
2001
in
Download Full PDF Version
Abstract
Results are expounded for the investigation of efficiency of the critical-component direct method for solving degenerate and ill-posed systems of linear algebraic equations.
Topics
45 Figures and Tables
Table 2 (0.968E08< µ(W ) ≤0.399E16, 6≤ m ≤80, µ̄(W ) = 0.365E15, N̄2 = 43)
Fig. 2. At µ̄(W )=0.365E15 — being ill-posed, N̄2 = 43.
Fig. 3. At µ̄(W )>0.450E16 — beind pathologically ill-posed, N̄3 = 46.
Table 4 (Mean values of characteristics of Tables 1÷ 3, N̄4 = 206)
Fig. 5. At µ̄(W )=0.308E15 — being ill-posed, N̄6 = 3.
Table 6 (0.657E11< µ(C3) ≤0.594E15, 150≤ m ≤ 200, µ̄(C3) = 0.308E15, N̄6 = 3)
Fig. 8. At µ̄(W ) =0.589E15 — being illposed, N̄10 = 2.
Table 10 (0.540E15≤ µ(C3) ≤0.637E15, m : 500,800, µ̄(C3) =0.589E15, N̄10 = 2)
Table 13
Table 2 (0.968E08< µ(W ) ≤0.399E16, 6≤ m ≤80, µ̄(W ) = 0.365E15, N̄2 = 43)
Fig. 2. At µ̄(W )=0.365E15 — being ill-posed, N̄2 = 43.
Fig. 3. At µ̄(W )>0.450E16 — beind pathologically ill-posed, N̄3 = 46.
Table 4 (Mean values of characteristics of Tables 1÷ 3, N̄4 = 206)
Fig. 5. At µ̄(W )=0.308E15 — being ill-posed, N̄6 = 3.
Table 6 (0.657E11< µ(C3) ≤0.594E15, 150≤ m ≤ 200, µ̄(C3) = 0.308E15, N̄6 = 3)
Fig. 8. At µ̄(W ) =0.589E15 — being illposed, N̄10 = 2.
Table 10 (0.540E15≤ µ(C3) ≤0.637E15, m : 500,800, µ̄(C3) =0.589E15, N̄10 = 2)
Table 13
Table 2 (0.968E08< µ(W ) ≤0.399E16, 6≤ m ≤80, µ̄(W ) = 0.365E15, N̄2 = 43)
Fig. 2. At µ̄(W )=0.365E15 — being ill-posed, N̄2 = 43.
Fig. 3. At µ̄(W )>0.450E16 — beind pathologically ill-posed, N̄3 = 46.
Table 4 (Mean values of characteristics of Tables 1÷ 3, N̄4 = 206)
Fig. 5. At µ̄(W )=0.308E15 — being ill-posed, N̄6 = 3.
Table 6 (0.657E11< µ(C3) ≤0.594E15, 150≤ m ≤ 200, µ̄(C3) = 0.308E15, N̄6 = 3)
Fig. 8. At µ̄(W ) =0.589E15 — being illposed, N̄10 = 2.
Table 10 (0.540E15≤ µ(C3) ≤0.637E15, m : 500,800, µ̄(C3) =0.589E15, N̄10 = 2)
Table 13
Table 2 (0.968E08< µ(W ) ≤0.399E16, 6≤ m ≤80, µ̄(W ) = 0.365E15, N̄2 = 43)
Fig. 2. At µ̄(W )=0.365E15 — being ill-posed, N̄2 = 43.
Fig. 3. At µ̄(W )>0.450E16 — beind pathologically ill-posed, N̄3 = 46.
Table 4 (Mean values of characteristics of Tables 1÷ 3, N̄4 = 206)
Fig. 5. At µ̄(W )=0.308E15 — being ill-posed, N̄6 = 3.
Table 6 (0.657E11< µ(C3) ≤0.594E15, 150≤ m ≤ 200, µ̄(C3) = 0.308E15, N̄6 = 3)
Fig. 8. At µ̄(W ) =0.589E15 — being illposed, N̄10 = 2.
Table 10 (0.540E15≤ µ(C3) ≤0.637E15, m : 500,800, µ̄(C3) =0.589E15, N̄10 = 2)
Table 13
Table 2 (0.968E08< µ(W ) ≤0.399E16, 6≤ m ≤80, µ̄(W ) = 0.365E15, N̄2 = 43)
Fig. 2. At µ̄(W )=0.365E15 — being ill-posed, N̄2 = 43.
Fig. 3. At µ̄(W )>0.450E16 — beind pathologically ill-posed, N̄3 = 46.
Table 4 (Mean values of characteristics of Tables 1÷ 3, N̄4 = 206)
Fig. 5. At µ̄(W )=0.308E15 — being ill-posed, N̄6 = 3.
Table 6 (0.657E11< µ(C3) ≤0.594E15, 150≤ m ≤ 200, µ̄(C3) = 0.308E15, N̄6 = 3)
Fig. 8. At µ̄(W ) =0.589E15 — being illposed, N̄10 = 2.
Table 10 (0.540E15≤ µ(C3) ≤0.637E15, m : 500,800, µ̄(C3) =0.589E15, N̄10 = 2)
Table 13
Download Full PDF Version
(Non-Commercial Use)
Related Papers
Precision of fit between implant impression coping and implant replica pairs for three implant systems.
Lower respiratory rates without decreases in oxygen consumption during neonatal synchronized intermittent mandatory ventilation
Genetic engineering and medical ethics.
Pulmonary artery injury during mediastinoscopy controlled without gauze packing
Dental caries in 12-year-old schoolchildren: multilevel analysis of individual and school environment factors in Goiânia.
Evaluation of the effect of torsemide on warfarin dosage requirements
Does the onset of type 1 diabetes in young adults imply increased sickness absence? Results from a Swedish longitudinal study
[A parasite of sardine eggs: Ichthyodinium chabelardi, new genus, new species (unicellular flagellate parasite)].
Sulfur balance indexes of casein in adult dogs with and without addition of DL-methionine.
Circulating levels of tumour necrosis factor-α & interferon-γ in patients with dengue & dengue haemorrhagic fever during an outbreak
Improved Power Spectrum Estimation for RR-Interval Time Series
[Changes in renal circulation in exsiccosis].
Neurocognitive, psychiatric, and substance use characteristics in opioid dependent adults.
YB-1 (YBX1) does not bind to Y/CCAAT boxes in vivo
Reconciling the value of the elevator round trip time between calculation and simulation
LD Redundancy System Using Polarization Components for a Submarine Optical Transmission System
[Surveillance of birth defects in Bengbu].
The Value of Multifrequency Tympanometry in the Management of Otitis Media with Effusion
Postpartum stroke: a twenty-year experience.
School networks to promote ICT competences among teachers. Case study in intercultural schools