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Curriculum Vitae

Ion Pavaloiu
Publications

Books

  1. I. Pavaloiu, Introducere în teoria aproximarii solutiilor ecuatiilor, Ed. Dacia, 1976, (208 pagini).
  2. I. Pavaloiu, Rezolvarea ecuatiilor prin interpolare. Ed. Dacia, 1981, (190 pagini).
  3. I. Pavaloiu, Capitole Speciale de Analiza Matematica, Ed. Cordial Lex, Cluj-Napoca, 1994 (I.S.B.N. 973-96105-9-5) (200 pagini).
  4. I. Pavaloiu, N. Pop, Interpolare si aplicatii, Editura Risoprint, Cluj-Napoca 2005, 322 pag.

Articles

  1. P. Bradeanu si I. Pavaloiu, Regimuri optime de dirijare a tractiunii unor rachete, Studii si cercetari de mecanica aplicata, 4, (1963), pp.805-816.
  2. I. Pavaloiu, Sur l'intérpolations à l'aide des polynomes raccordées, Mathématica, 6 (27), 2, (1964), pp.295-299.
  3. L. Negrescu, I. Pavaloiu, T. Rus, Programarea la masinile universale cifrice a unei probleme de optimizare, Calcul economic, vol. I, 1964.
  4. L. Negrescu, I. Pavaloiu, O proprietate a schemelor de algoritmi, Studii si cercetari matematice, 17, 2, (1965), pp.1405-1409. (M.R. 37 # 73)
  5. L. Negrescu, I. Pavaloiu, Asupra verificarii formale a schemelor logice de algoritmi, Studii si cercetari matematice, 17, 2, (1965), pp.271-286. (M.R. 34 # 2368)
  6. I. Pavaloiu, Observatii asupra rezolvarii sistemelor de ecuatii cu ajutorul procedeelor iterative, Studii si cercetari matematice, 9, Tom. 19 (1967), pp.1289-1298. (M.R. 40 # 5123)
  7. I. Pavaloiu, Asupra unor inegalitati recurente si aplicatii ale lor, Studii si cercetari matematice, 8, 1967, pp.1175-1179. (M.R. 40 # 6747)
  8. I. Pavaloiu, Sur la méthode de Steffensen pour la résolution des équations operationnelles nonlinéaires, Revue Roumaine des Mathématiques pures et appliquées, 1, XIII (1968), pp.857-861. (M.R. 38 # 4025).
  9. T. Coman, M. Mihoc, I. Pavaloiu, L. Seceleanu, Aplicarea unor metode de statistica în histohitectonia limfoganglionului prepectoral la bovidee, Morfologia normala si patologica, 6, (1968), pp.489-499.
  10. M. Niculescu, M. Mihoc, I. Pavaloiu, L. Sacelean si V. Mârza, Contributii la studiul morfologiei celulelor din leucemia acuta, Studii si cercetari de embriologie si citologie, seria Citologie, 2, (1968), pp.93-112.
  11. I. Pavaloiu, La résolution des systèmes d'équations oppérationnelles à l'aide des méthodes itératives, Mathematica, 11, (34), (1969), pp. 137-141. (M.R. 41 # 4787).
  12. I. Pavaloiu, Intérpolation dans des éspaces linéaires normées et applications, Mathematica, 12 (35), 1 (1970), pp.149-158. (M.R. 45 # 9031).
  13. I. Pavaloiu, Sur les procedées itérative à un order élevé de convergence, Mathématica, 12(35) 2 (1970), pp. 309-324. (M.R. 40 # 4245).
  14. I. Pavaloiu, Asupra operatorilor iterativi, Studii si cercetari matematice, 23, 10, (1971), pp.1567-1574. (M.R. 49 # 6605).
  15. I. Pavaloiu, Consideratii asupra metodelor iterative obtinute prin interpolare inversa, Studii si cercetari matematice, 23, 10, (1971), pp.1545-1549. (M.R. 49 # 6606).
  16. I. Pavaloiu, Evaluarea erorilor în rezolvarea numerica a ecuatiilor operatoriale, Studii si cercetari matematice, 9, 23, (1971), pp.1459-1464. (M.R. 48 # 7588).
  17. I. Pavaloiu, Contributii la studiul metodelor iterative rapid convergente care se aplica la rezolvarea ecuatiilor operatoriale (teza de doctorat), 1971.
  18. N. Ciontea, I. Borza, C. Darie, F. Kramer, M. Mihoc, I. Pavaloiu, Metoda analitica de calcul a fazelor din masele de portelan, Cercetarile multidisciplinare si interdisciplinare. Originea, dezvoltarea si perspectivele lor (1971), pp.217-228.
  19. A. Diaconu, I. Pavaloiu, Sur quelques méthods itératives pour la résolution des equations operationnelles, Revue d'analyse numérique et de la théorie de l'approximation, 11, 1972, pp.45-61 (M.R. 52 # 2191).
  20. A. Diaconu, I. Pavaloiu, Asupra unor metode iterative pentru rezolvarea ecuatiilor operationale neliniare, Revista de analiza numerica si teoria aproximatiei, 2, 1, (1973), pp.61-69 (M.R. 53 # 4525).
  21. I. Pavaloiu, Sur le convergence d'une classe de méthodes itératives de J. Traub, Revue d'analyse numérique et de la théorie de l'approximation, 2, (1973), pp.99-104. (M.R. 51 # 14575).
  22. I. Pavaloiu, Sur l'approximation des solutions des equations à l'aide des suites à éléments dans un espace de Banach, Mathématica, Revue d'analyse numérique et de la théorie de l'approximation, Tom 5, 1, (1976), pp.63-67. (M.R. 58 # 31821).
  23. I. Pavaloiu, Une généralisation de methode de Newton, Mathematica, 20, (43), 1, (1978), pp.45-52. (M.R. 80d: 65073).
  24. I. Pavaloiu, Une variante de méthode de Newton, Revue d'analyse numérique et de la théorie dé l'approximation, 7, 1, (1978), pp.95-99. (M.R. 80g: 47078).
  25. I. Pavaloiu, Sur l'order de convergence des méthodes d'itération, Mathématica, 23, (46), 1, (1981), pp.261-272). (M.R. 83m: 40002).
  26. I. Pavaloiu, La résolution des equations par intérpolation, Mathématica, 23, (46), 1, (1981), pp.61-72. (M.R. 83g: 65064b).
  27. I. Pavaloiu, Observatii asupra punctelor fixe ale operatorilor în spatii metrice. Lucrarile celui de al III-lea Simpozion National de Analiza Functionala si aplicatii, Craiova 6-7 noiembrie 1981, pp.121-122.
  28. I. Pavaloiu, I. Serb, Sur des méthodes itératives de type intérpolatoire à vitèsse de convergence optimale, Revue d'analyse numérique et de la théorie de l'approximation, 12, 1, (1983), pp.83-88. (M.R. 85h: 65107).
  29. I. Pavaloiu, I. Serb, Sur des méthodes itératives optimales, Preprint nr.1 (1983), pp.175-182. Seminar on functional analysis and numerical methods. (M.R. 85e: 65029).
  30. C. Iancu, I. Pavaloiu, I. Serb, Méthodes itératives optimales de type Steffensen obtenues par interpolation invèrse. Preprint nr.1, (1983). Seminar on functional analysis and numerical methods, pp.81-88.
  31. C. Iancu, I. Pavaloiu, Resolution des equations à l'aide des fonctions splines d'interpolation invèrse. Preprint nr. 1, (1984), pp.97-104. Seminar on functional analysis and numerical methods. (M.R. 86g: 65094).
  32. C. Iancu, I. Pavaloiu, La resolution des équations par interpolation inverse de type Hermite, Mathematica (Cluj), 26 (49) (1984), No 2, pp.115-123 (M.R. 86k: 65037).
  33. C. Iancu, I. Pavaloiu, Resolution des equations à l'aide des fonctions rationnelles d'interpolation invèrse, Preprint nr.1, (1985), pp.71-78. Seminar on functional analysis and numerical methods. (M.R. 832504).
  34. C. Iancu, T. Oproiu, I. Pavaloiu, Inverse interpolation spline with applications to the equation solving, Preprint nr.1 (1986), pp.67-84. Seminar on functional analysis and numerical methods.
  35. I. Pavaloiu, La convergence de certaines méthodes itératives pour résoudre certaines equations operationnelles, Preprint nr.1, (1986), pp.127-132. Seminar on functional analysis and numerical methods.
  36. I. Pavaloiu, Sur l'estimation des erreurs en convergence numérique de certaines méthodes d'iteration, Preprint nr.1, (1986), pp.133-136, Seminar on functional analysis and numerical methods.
  37. I. Pavaloiu, Estimation des erreurs dans le résolution numérique des systèmes d'équations dans des espaces métriques, Preprint nr.1, (1987), pp.121-129. Seminar on functional analysis and numerical methods.
  38. [38.] I. Pavaloiu, Un algorythme de calcul dans la résolution des equations par interpolation. Preprint nr.1, (1987), pp.130-134. Seminar on functional analysis and numerical methods. (M.R. 90a: 65018).
  39. I. Pavaloiu, Délimitation des erreur dans la résolution numérique des systèmes d'equations. Preprint nr.7, (1988). Seminar an mathematical analysis. (M.R. 90d: 65098).
  40. I. Pavaloiu, Sur l'approximation des racines des equations dans une espace métrique. Preprint nr. l, (1989), pp.95-104. Seminar on functional analysis and numerical methods. (M.R. 91d: 65076).
  41. I. Pavaloiu, Sur une méthode de type Steffensen utilisée pour la résolution des equations operationnelles non-linéaires. Preprint nr.1, 1989, pp.105-110. Seminar on functional analysis and numerical methods. (M.R. 91d: 65085).
  42. I. Pavaloiu, On the Chord Method. Buletinul stiintific al Universitatii din Baia Mare, Seria B. vol. VIII, Fasc. Mat.-Fiz. 61-66 (1991).
  43. I. Pavaloiu, On the Convergence of a Steffensen - Type Method. Research Seminars, Seminar of Mathematical Analysis. Preprint nr.7, (1991), pp.121-126. (M.R. 1206751).
  44. I. Pavaloiu, Remarks on the Secant Method for the Solution of Nonlinear Operatorial Equations, Research Seminars, Seminar on Mathematical Analysis, Preprint nr.7, (1991), pp.127-132. (M.R. 1206752).
  45. I. Pavaloiu, Sur une généralisation de la Méthode de Steffensen, Revue d'analyse numérique et de la théorie de l'approximation, Tome 21, nr.1, pp.59-67, (1992). (M.R. 946: 65081).
  46. I. Pavaloiu, Optimal Problems Concerning Interpolation Methods of Solution of Equations. Publications de L'Institut Mathématique (Nouvelle série) Beograd, Tome 52 (66) pp.113-126 (1992). (M.R. 95a: 65030).
  47. I. Pavaloiu, Error Estimation in Numerical Solution of Equations and Systems of Equations, Revue d'analyse numérique et de la théorie de l'approximation, Tome 21, nr.2, pp.153-165 (1992). (M.R. 94h: 65049).
  48. I. Pavaloiu, Some Remarks on the Convergence of Newton's Method for the Solution of Operatorial Equations whose Operators Have Continuous Hölderian Derivative, Research Seminars, Preprint nr.6 (1992), Univ. ''Babes-Bolyai'' Cluj-Napoca.
  49. I. Pavaloiu, A Convergence Theorem Concerning the Chord Method, Revue d'analyse numérique et de la théorie de l'approximation, Tome 22, nr.1, pp.83-85 (1993).
  50. I. Pavaloiu, On the Monotonicity of the Sequences of Approximations Obtained by Steffensen's Method, Mathematica, Tome 35(58), nr.1, pp.71-76, (1993). (M.R. 95f: 65106).
  51. I. Pavaloiu, Bilateral Approximations for the Solutions of Scalar Equations, Revue d'analyse numérique et de la théorie de l'approximation, Tome 23, nr.1, pp. 95-100, (1994). (M.R. 96b:65052).
  52. I. Pavaloiu, Observations Concerning Some Approximation Methods for the Solutions of Operator Equations, Revue d'analyse numérique et de la théorie de l'approximation, Tome 23, nr.2, pp. 185-195 (1994).
  53. I. Pavaloiu, On Computational Complexity in Solving Equations by Interpolation Methods, Revue d'analyse numérique et de la théorie de l'approximation, Tome 24, nr.1, pp. 201-214, 1995.
  54. I. Pavaloiu, On Computational Complexity in Solving Equations by Steffensen Type Methods, Revue d'analyse numérique et de la théorie de l'approximation, Tome 24, nr.2, pp. 215-220, 1995.
  55. I. Pavaloiu, Approximation of the Roots of Equations by Aitken-Steffensen-Type Monotonic Sequences, CALCOLO, vol.32, No 1-2, 1995, pp.69-82.
  56. I. Pavaloiu, Asupra unei metode de rezolvare a sistemelor neliniare în spatii metrice, Sem. Itin. T. Popoviciu, Cluj-Napoca, 16-21 mai 1995, pp.83-86.
  57. E. Catinas, Ion Pavaloiu, On the Chebyshev Method for Approximating the Eigenvalues of Linear Operators, Revue d'analyse numérique et de la théorie de l'approximation, Tome 25, No 1-2, 1996, pp.43-56.
  58. E. Catinas, Ion Pavaloiu, On the Chebyshev-type Method for Approximating the Solution of Polynomial Operator Equations of Degree 2, Approximation and Optimization, Proceedings of the ICAOR, Cluj - Napoca, July 29 - August 1, vol.1 (1996) pp.219-226.
  59. I. Pavaloiu, Optimal Efficiency Indexes for Iterative Methods of Interpolatory-type, Computer Science Journal of Moldova, vol.5, No 1(13) (1997), pp.20-43.
  60. E. Catinas, I. Pavaloiu, On Approximating the Eigenvalues and Eigenvectors of Linear Continuous Operators, Revue d'analyse numérique et de la théorie de l'approximation, Tome 26, No 1-2, 1997, pp.19-28.
  61. D. Luca, I. Pavaloiu, On the Heron's Method for Approximating the Cubic Root of a Real Number, Revue d'analyse numérique et de la théorie de l'approximation, Tome 26, No 1-2, 1997, pp.103-108.
  62. I. Pavaloiu, On the Convergence Order of the Multistep Methods, Bul. St. Univ. Baia Mare, Ser. Mat.-Inf. vol. XIII, 1997, pp.59-64.
  63. I. Pavaloiu, On an Approximation Formula, Rev. Anal. Numér. et Theorie de l'Approximation Tome 26 No 1-2, (1997), pp.179-184.
  64. E. Catinas, I. Pavaloiu, On Some Interpolatory Iterative Methods for the Second Degree Polynomial Operators, Rev. Anal. Numer. et Theorie de l'Approximation Tome 27 No 1, (1998), pp.33-45.
  65. I. Argyros, E. Catinas, I. Pavaloiu, Improving the Rate of Convergence of Some Newton-Like Methods for the Solution of Nonlinear Equations Containing a Nondiferentiable Term, Rev. Anal. Numer. et Theorie de l'Approximation Tome 27 No 2, (1998), pp. 191-202.
  66. I. Pavaloiu, On the Efficiency of the Computations for Approximating the Solutions of Equations, Bul. Ştiinţ. Univ. Baia Mare Ser.B Mat.-Inf., Vol. XIV (1998), Nr.1, 59-64.
  67. I. Pavaloiu, Tiberiu Popoviciu, ctitor al Institutului de Calcul din Cluj-Napoca, Academica, VIII, 4, (88), 1998, p.30.
  68. I. Pavaloiu, A note on the efficiency index of a class of two step Hermite iterative methods, Conferences in Analysis, Functional Equations Approximation and Convexity, in Honor of Professor ELENA POPOVICIU, Cluj-Napoca, pp. 228-233 (1999).
  69. I. Pavaloiu, Optimal algorithms concerning the solving of equations by interpolation, Research on Theory of Allure, Approximation, Convexity and Optimization, Ed. SRIMA, Cluj-Napoca (1999), pp.222-248.
  70. I. Argyros, E. Catinas, I. Pavaloiu, Local and global convergence results for a class of Steffensen-Aitken-type methods, Adv. Nonlinear Var. Inequal. 2 (1999) no.2, pp.117-126.
  71. I. Pavaloiu, E. Catinas, Remarks on Some Newton and Chebyshev-type Methods for Approximating the Eigenvalues and Eigenvectors of Matrices, Computer Science Journal of Moldova, vol.7, No.1, (19), (1999), pp.3-17.
  72. I.K. Argyros, E. Catinas and I. Pavaloiu, On the Convergence of Steffensen-Aitken-Like Methods Using Divided Differences Obtained Recursively, Rev. Anal. Numer. et Theorie de l'Approximation Tome 28 No 2, (1999).
  73. E. Catinas and I. Pavaloiu, On Some Interpolatory Iterative Methods for the Second Degree Polynomial Operators (II), Rev. Anal. Numer. et Theorie de l'Approximation Tome 28 No 2, (1999).
  74. E. Catinas, I. Pavaloiu, Some Numerical Aspects in the Approximation of Eigenpairs of Matrices by the Newton Method, Acta Technica Napocensis (1999), Series: Applied Mathematics and Mechanics, 42 vol.1 pp.41-44.
  75. I. Pavaloiu, Monotone Sequences for Approximating the Solutions of Equations, Bul. Ştiinţ. Univ. Baia Mare Ser. B Mat.-Inf., Vol. XV (1999), Nr.1-2.
  76. I.K. Argyros, E. Catinas, I. Pavaloiu, On the Convergence of Steffensen Aitken-like Methods Using Divided Differences Obtained Recursively, Adv. Nonlinear Var. Inequal., 3 (2000) no.1, pp.7-13.
  77. I.K. Argyros, E. Catinas, I. Pavaloiu, On Some General Iterative Methods for Solving Nonlinear Operator Equations Containing a Nondifferential Term, Adv. Nonlinear Var. Inequal., 3 (2000) no.1, pp.15-21.
  78. I.K. Argyros, E. Catinas, I. Pavaloiu, Conditions for the Convergence of Perturbed Steffensen Methods on a Banach Space With Convergence Structure, Adv. Nonlinear Var. Inequal., 3 (2000) no.1, pp.23-35.
  79. I. Pavaloiu, On the Chebyshev Method for Approximating the Solutions of Polynomial Operator Equations of Degree 2, Buletinul stiintific al Univ. din Baia Mare, Volum XVI, No 2 (2000).
  80. I. Pavaloiu, Optimal Efficiency Index of a Class of Hermite Iterative Methods with Two Steps, Rev. Anal. Numer. Theor. Approx., 29 (2000) no.1.
  81. I.K. Argyros, E. Catinas, I. Pavaloiu, On the Approximate Solutions of Implicit Functions using the Steffensen Method, Proyecciones, 19 (2000) no.3, pp. 291-303, Universidad Catolica del Norte, Antofagasta, Chile (MR CMP 1 808 724).
  82. I. Pavaloiu, On a Halley-Steffensen Method for Approximating the Solutions of Scalar Equations, Rev. Anal. Numer. Theor. Approx., 30 (2001) no.1, pp.69-74
  83. I. Pavaloiu, On a Aitken-Steffensen--Halley-Type Method for Approximating the Roots of Scalar Equations, Rev. Anal. Numer. Theor. Approx., 30 (2001) no.2.
  84. I. Pavaloiu, A Halley-Aitken-Type Method for Approximating the Solutions of Scalar Equations, Bul. Ştiinţ. Univ. de Nord Baia Mare, vol. 27, Nr. 1-2 (2001)
  85. I. Pavaloiu, Aitken-Steffensen-type methods for nonsmooth functions (I), Rev. Anal. Numer. Theor. Approx., 31 (2002) no.1, pp 111-116.
  86. I. Pavaloiu, Aitken-Steffensen-type methods for nonsmooth functions (II), Rev. Anal. Numer. Theor. Approx., 31 (2002) no.2, pp 191-196.
  87. E. Catinas and I. Pavaloiu, On a third order iterative method for solving polynomial operator equations, Rev. Anal. Numer. Theor. Approx.31 (2002), nr.1, pp.19-28.
  88. E. Catinas and I. Pavaloiu, Solving polynomial operator equations of degree 2 by Steffensen-type iterations with approximate inverses, Proceedings of the International Symposium on Numerical Analysis and approximation Theory. Dedicated to the 75-th Anniversary of professor D.D. Stancu, Cluj-Napoca, 9-11 May 2002, pp.101-113, Presa Universitara Clujeana (2002).
  89. Gh. Coman, I. Pavaloiu, At the 75th birthday anniversary of academician professor Dimitrie D. Stancu, Rev. Anal. Numer. Theor. Approx. 31, Nr.1, 2002, pp.5-7.
  90. I. Pavaloiu, At the 45th anniversary of "Tiberiu Popoviciu" Institute of Numerical Analysis, Rev. Anal. Numer. Theor. Approx. 31, Nr.2, 2002, pp.121-122.
  91. I. Pavaloiu, Aitken-Steffensen-type methods for nonsmooth functions (III), Rev. Anal. Numer. Theor. Approx., 32 (2003) no.1.
  92. I. Pavaloiu, Emil Catinas, On the Chebyshev method, with numerical applications to the eigenpair problem, Analele Universitatii de Vest Timisoara, Seria Matem. si Inform., vol. 41, fasc. Special 2003, pp. 183-191.
  93. I. Pavaloiu, On the convergence order of some Aitken-Steffensen type methods, Rev. Anal. Numer. Theor. Approx., 32, 2 (2003), pp.193-202.
  94. I. Pavaloiu, On approximating the inverse of a matrix, Creative math., 12 (2003), pp.15-20.
  95. I. Pavaloiu, Local Convergence of General Steffensen Type Methods, Rev. Anal. Numer. Theor. Approx., 33, 1 (2004) pp. 79-86.
  96. Ion Pavaloiu, Local convergence of Some Newton Type Methods for Nonlinear Systems, Rev. Anal. Numer. Theor. Approx., 33, 2 (2004), pp. 209-213.
  97. I. Pavaloiu, Acclerating the convergence of the iterative methods of interpolatory type, Rev. Anal. Numer. Theor. Approx., 34: 2 (2005), 169-173.
  98. I.Pavaloiu, Bilateral Approximations of Solutions of Equations by Order Three Steffensen-Type Methods, Studia Univ. Babes-Bolyai, Mathematica, Vol LI, Nr.3, 2006, pp.105-114.
  99. I.Pavaloiu, On a Steffensen-Hermite Type Method for Approximating the Solutions of Nonlinear. Equations. Rev. Anal. Numer Theorie L'Approx. Tom 35, Nr.1, 2006, pp.87-94.
  100. Ion Pavaloiu, E. Catinas, On a Aitken Type Method, Rev. Anal. Numer. Theor. Approx. Tom 36 Nr.2 (2007) pp. 171-174.
  101. I. Pavaloiu, E. Catinas, On a Steffensen type method, 9th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing Timisoara, Romania, September 26-29, 2007, IEEE Proceedings.
  102. I. Pavaloiu and C. Mustata, Institutul de Calcul "T. Popoviciu" la semicentenar, Academica, Nr.60-61, XVIII, (197-198), 2007, pp.55-57.
  103. Gh. Coman, I. Pavaloiu, Academician D.D. Stancu at his eightieth birthday anniversary, Rev. Anal. Numer. Theor. Approx. 34, Nr.1, (2007), pp.5-8.
  104. Pavaloiu I., O metoda de tip Aitken - Steffensen - Hermite de ordinul 3, Seminarul Tiberiu Popoviciu de Ecuatii Functionale, Aproximare si convexitate, 24 - 27 septembrie 2008, Cluj-Napoca. pp.37-41.
  105. I. Pavaloiu and E. Catinas, On a Steffensen-Hermite method of order three, Applied Mathematics and Computation 215 (2009), pp. 2663-2672.
  106. I. Pavaloiu, A unified treatment of the modified Newton and chord methods, Carpathian J. Math. 25, no. 2, 2009, pp. 192-196

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