1 Biography of IonPǎvǎloiu
b. 1939 in Romania. Ph.D. in Mathematics in 1971, specialized in Mathematical Analysis,
Functional Analysis and Numerical Analysis, with applications to physics and medicine.
1.1 Academic positions
1998-present Professor at North University of Baia-Mare
1991-present Senior researcher (I) at “Tiberiu Popoviciu” Institute of Numerical Analysis
(ITCP)
1990-present Director of Tiberiu Popoviciu Institute of Numerical Analysis
1990-1991 Senior researcher (II) at Tiberiu Popoviciu Institute of Numerical Analysis
1970-1990 Senior researcher (III) at Tiberiu Popoviciu Institute of Numerical Analysis
1966-1970 Researcher at Tiberiu Popoviciu Institute of Numerical Analysis
1962-1966 Research assistant at Tiberiu Popoviciu Institute of Numerical Analysis
1.2 Membership in professional societies
The Romanian Mathematical Society
1.3 Grants:
GAR nr.95/1998 of the Romanian Academy, Theme: ”The qualitative study of the perturbations
influence on the stability of inexact Newton method” (collaborator).
GAR nr.97/1999 of the Romanian Academy, Theme: ”The relation between the characterizations
of the convergence orders of the practical methods for Newton algorithm”. GAR nr.6100GR/13
oct. 2000 cu ANSTI, Theme: Convergence theorems for quasi-Newton and inexact Newton
methods (collaborator).
GAR nr.64/2001 of the Romanian Academy, Theme: High order convergence of the successive
approximations (collaborator)
Grant nr.7037/2001 of M.E.C., Theme: ”Newton methods for the singular case; the linear
convergence” (consultant)
GAR nr.45/2002 of the Romanian Academy, Theme: High order convergence of the successive
approximations (Co-PI).
GAR nr.19/2003 of the Romanian Academy, Theme: The error control in floating arithmetic for
the finite differences of the Newton-Krylov methods” (Co-PI)
GAR nr.16/2004 of the Romanian Academy, Theme: Finite difference Newton-Krylov
methods
1.4 Current research in the following areas:
- Inverse interpolation method
- The methods with optimal convergence order within the class of iteration methods
- The efficiency of numerical calculus and the iteration methods with optimal efficiency
index
- The monotony of the approximating sequences for the solutions of equations
- Iterative methods (Newton, Newton-Krylov, Newton-type) for numerical solving of
nonlinear systems of equations in Rn
- Iterative methods (Newton, Chebyshev, Steffensen, etc) for numerical solving
eigenproblems
- Methods of functions approximations
- Iterative methods for solving nonlinear equations in Banach spaces
- The stability of the numerical methods for solving equations and the error evaluation
1.5 Research activities:
Deputy chief Editor of the journal ”Revue D’Analyse NumÃrique et de ThÃorie de
L’Approximation”.
Member in the Editorial board of the journal ”Mathematica”
1.5.1 Research areas:
1.6 Selected Publications (from a list of over 100 published papers)
I.Pǎvǎloiu, La rÃsolution des systÃmes d’Ãquations oppÃrationnelles à l’aide
des mÃthodes itÃratives, Mathematica, 11, (34), (1969), pp.137-141. (M.R. 41 , No.
4787).
I.Pǎvǎloiu, IntÃrpolation dans des Ãspaces linÃaires normÃes et applications,
Mathematica, 12 (35), 1 (1970), pp.149-158. (M.R. 45., No. 9031).
I.Pǎvǎloiu, Sur les procedées itérative á un order Ãlevà de convergence, Mathématica,
12(35) 2 (1970), pp.309-324. (M.R. 40, No. 4245).
I.Pǎvǎloiu, Sur l’approximation des solutions des equations á l’aide des suites á éléments
dans un espace de Banach, Mathematica, Revue d’analyse numérique et de la théorie de
l’approximation, Tom 5, 1, (1976), pp.63-67. (M.R. 58 , No. 31821).
I.Pǎvǎloiu, Une généralisation de methode de Newton, Mathematica, 20, (43), 1, (1978),
pp.45-52. (M.R. 80d: 65073).
I.Pǎvǎloiu, Une variante de méthode de Newton, Revue d’analyse numérique et de la
théorie dà l’approximation, 7, 1, (1978), PP.95-99. (M.R. 80g: No. 47078).
I.Pǎvǎloiu, Sur l’order de convergence des mÃthodes d’itÃration, Mathematica, 23, (46), 1,
(1981), pp.261-272). (M.R. 83m: 40002).
I.Pǎvǎloiu, La résolution des equations par intÃrpolation, MathÃmatica, 23, (46), 1, (1981),
pp.61-72. (M.R. 83g: 65064b).
I.Pǎvǎloiu, I. Sherb, Sur des méthodes itératives de type intèrpolatoire á vitèsse de
convergence optimale, Revue d’analyse numérique et de la thÃorie de l’approximation, 12, 1,
(1983), pp.83-88. (M.R. 85h: 65107).
I.Pǎvǎloiu, I. Sherb, Sur des méthodes itératives optimales, Preprint nr.1 (1983),
pp.175-182. Seminar on functional analysis and numerical methods. (M.R. 85e: 65029).
C. Iancu, I.Pǎvǎloiu, I. Sherb, MÃthodes itÃratives optimales de type Steffensen obtenues
par interpolation invÃrse. Preprint nr.1, (1983). Seminar on functional analysis and numerical
methods, pp.81-88.
C. Iancu, I.Pǎvǎloiu, Resolution des equations à l’aide des fonctions splines d’interpolation
invÃrse. Preprint nr.1,
C. Iancu, I.Pǎvǎloiu, La resolution des Ãquations par interpolation inverse de type Hermite,
Mathematica (Cluj), 26 (49) (1984), No 2, pp.115-123 (M.R. 86k: 65037).
C. Iancu, I.Pǎvǎloiu, Resolution des equations à l’aide des fonctions rationnelles
d’interpolation invÃrse, Preprint nr.1, (1985), pp.71-78. Seminar on functional analysis and
numerical methods. (M.R. 832504).
C. Iancu, T. Oproiu, I.Pǎvǎloiu, Inverse interpolation spline with applications to the equation
solving, Preprint nr.1 (1986), pp.67-84. Seminar on functional analysis and numerical
methods.
I.Pǎvǎloiu, La convergence de certaines mÃthodes itératives pour résoudre certaines
equations operationnelles, Preprint No.1, (1986), pp.127-132. Seminar on functional analysis and
numerical methods.
