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Ion Păvăloiu
Publications

Books

  1. I. Păvăloiu, Introducere în teoria aproximării soluţiilor ecuaţiilor, Ed. Dacia, 1976, (208 pagini).
  2. I. Păvăloiu, Rezolvarea ecuaţiilor prin interpolare. Ed. Dacia, 1981, (190 pagini).
  3. I. Păvăloiu, Capitole Speciale de Analiză Matematică, Ed. Cordial Lex, Cluj-Napoca, 1994 (I.S.B.N. 973-96105-9-5) (200 pagini).
  4. I. Păvăloiu, N. Pop, Interpolare şi aplicaţii, Editura Risoprint, Cluj-Napoca 2005, 322 pag.

Articles

  1. P. Brădeanu şi I. Păvăloiu, Regimuri optime de dirijare a tracţiunii unor rachete, Studii şi cercetări de mecanică aplicată, 4, (1963), pp.805-816.
  2. I. Păvăloiu, Sur l'intérpolations à l'aide des polynômes raccordées, Mathématica, 6 (27), 2, (1964), pp.295-299.
  3. L. Negrescu, I. Păvăloiu, T. Rus, Programarea la maşinile universale cifrice a unei probleme de optimizare, Calcul economic, vol. I, 1964.
  4. L. Negrescu, I. Păvăloiu, O proprietate a schemelor de algoritmi, Studii şi cercetări matematice, 17, 2, (1965), pp.1405-1409. (M.R. 37 # 73)
  5. L. Negrescu, I. Păvăloiu, Asupra verificării formale a schemelor logice de algoritmi, Studii şi cercetări matematice, 17, 2, (1965), pp.271-286. (M.R. 34 # 2368)
  6. I. Păvăloiu, Observaţii asupra rezolvării sistemelor de ecuaţii cu ajutorul procedeelor iterative, Studii şi cercetări matematice, 9, Tom.19 (1967), pp.1289-1298. (M.R. 40 # 5123)
  7. I. Păvăloiu, Asupra unor inegalităţi recurente şi aplicaţii ale lor, Studii şi cercetări matematice, 8, 1967, pp.1175-1179. (M.R. 40 # 6747)
  8. I. Păvăloiu, 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. Păvăloiu, L. Seceleanu, Aplicarea unor metode de statistică în histohitectonia limfoganglionului prepectoral la bovidee, Morfologia normală şi patologică, 6, (1968), pp.489-499.
  10. M. Niculescu, M. Mihoc, I. Păvăloiu, L. Săcelean şi V. Mârza, Contribuţii la studiul morfologiei celulelor din leucemia acută, Studii şi cercetări de embriologie şi citologie, seria Citologie, 2, (1968), pp.93-112.
  11. I. Păvăloiu, 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. Păvăloiu, Intérpolation dans des éspaces linéaires normées et applications, Mathematica, 12 (35), 1 (1970), pp.149-158. (M.R. 45 # 9031).
  13. I. Păvăloiu, Sur les procedées itérative à un order élevé de convergence, Mathématica, 12(35) 2 (1970), pp.309-324. (M.R. 40 # 4245).
  14. I. Păvăloiu, Asupra operatorilor iterativi, Studii şi cercetări matematice, 23, 10, (1971), pp.1567-1574. (M.R. 49 # 6605).
  15. I. Păvăloiu, Consideraţii asupra metodelor iterative obţinute prin interpolare inversă, Studii şi cercetări matematice, 23, 10, (1971), pp.1545-1549. (M.R. 49 # 6606).
  16. I. Păvăloiu, Evaluarea erorilor în rezolvarea numerică a ecuaţiilor operatoriale, Studii şi cercetări matematice, 9, 23, (1971), pp.1459-1464. (M.R. 48 # 7588).
  17. I. Păvăloiu, Contribuţii la studiul metodelor iterative rapid convergente care se aplică la rezolvarea ecuaţiilor operatoriale (teză de doctorat), 1971.
  18. N. Ciontea, I. Borza, C. Darie, F. Kramer, M. Mihoc, I. Păvăloiu, Metodă analitică de calcul a fazelor din masele de porţelan, Cercetările multidisciplinare şi interdisciplinare. Originea, dezvoltarea şi perspectivele lor (1971), pp.217-228.
  19. A. Diaconu, I. Păvăloiu, Sur quelques méthods itératives pour la résolution des equations operationnelles, Revue d'analyse numérique et de la théorie de l'approximation, 1l, 1972, pp.45-61 (M.R. 52 # 2191).
  20. A. Diaconu, I. Păvăloiu, Asupra unor metode iterative pentru rezolvarea ecuaţiilor operaţionale neliniare, Revista de analiză numerică şi teoria aproximaţiei, 2, 1, (1973), pp.61-69 (M.R. 53 # 4525).
  21. I. Păvăloiu, 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. Păvăloiu, 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. Păvăloiu, Une généralisation de methode de Newton, Mathematica, 20, (43), 1, (1978), pp.45-52. (M.R. 80d: 65073).
  24. I. Păvăloiu, 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. Păvăloiu, Sur l'order de convergence des méthodes d'itération, Mathématica, 23, (46), 1, (1981), pp.261-272). (M.R. 83m: 40002).
  26. I. Păvăloiu, La résolution des equations par intérpolation, Mathématica, 23, (46), 1, (1981), pp.61-72. (M.R. 83g: 65064b).
  27. I. Păvăloiu, Observaţii asupra punctelor fixe ale operatorilor în spaţii metrice. Lucrările celui de al III-lea Simpozion Naţional de Analiză Funcţională şi aplicaţii, Craiova 6-7 noiembrie 1981, pp.121-122.
  28. I. Păvăloiu, I. Şerb, 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. Păvăloiu, I. Şerb, 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. Păvăloiu, I. Şerb, 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. Păvăloiu, 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. Păvăloiu, 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. Păvăloiu, 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. Păvăloiu, 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. Păvăloiu, 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. Păvăloiu, 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. Păvăloiu, 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. Păvăloiu, 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. Păvăloiu, 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. Păvăloiu, 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. Păvăloiu, 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. Păvăloiu, On the Chord Method. Buletinul ştiinţific al Universităţii din Baia Mare, Seria B. vol. VIII, Fasc. Mat.-Fiz. 61-66 (1991).
  43. I. Păvăloiu, 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. Păvăloiu, 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. Păvăloiu, 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. Păvăloiu, 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. Păvăloiu, 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. Păvăloiu, 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. ''Babeş-Bolyai'' Cluj-Napoca.
  49. I. Păvăloiu, 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. Păvăloiu, 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. Păvăloiu, 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. Păvăloiu, 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. Păvăloiu, 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. Păvăloiu, 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. Păvăloiu, Approximation of the Roots of Equations by Aitken-Steffensen-Type Monotonic Sequences, CALCOLO, vol.32, No 1-2, 1995, pp.69-82.
  56. I. Păvăloiu, Asupra unei metode de rezolvare a sistemelor neliniare în spaţii metrice, Sem. Itin. T. Popoviciu, Cluj-Napoca, 16-21 mai 1995, pp.83-86.
  57. E. Cătinaş, Ion Păvăloiu, 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. Cătinaş, Ion Păvăloiu, 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. Păvăloiu, 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. Cătinaş, I. Păvăloiu, 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. Păvăloiu, 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. Păvăloiu, On the Convergence Order of the Multistep Methods, Bul. St. Univ. Baia Mare, Ser. Mat.-Inf. vol. XIII, 1997, pp.59-64.
  63. I. Păvăloiu, On an Approximation Formula, Rev. Anal. Numér. et Theorie de l'Approximation Tome 26 No 1-2, (1997), pp.179-184.
  64. E. Cătinaş, I. Păvăloiu, 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. Cătinaş, I. Păvăloiu, 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. Păvăloiu, 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. Păvăloiu, Tiberiu Popoviciu, ctitor al Institutului de Calcul din Cluj-Napoca, Academica, VIII, 4, (88), 1998, p.30.
  68. I. Păvăloiu, 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. Păvăloiu, 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. Cătinaş, I. Păvăloiu, 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. Păvăloiu, E. Cătinaş, 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. Cătinaş and I. Păvăloiu, 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. Cătinaş and I. Păvăloiu, 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. Cătinaş, I. Păvăloiu, 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. Păvăloiu, 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. Cătinaş, I. Păvăloiu, 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. Cătinaş, I. Păvăloiu, 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. Cătinaş, I. Păvăloiu, 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. Păvăloiu, On the Chebyshev Method for Approximating the Solutions of Polynomial Operator Equations of Degree 2, Buletinul ştiinţific al Univ. din Baia Mare, Volume XVI, No 2 (2000).
  80. I. Păvăloiu, 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. Cătinaş, I. Păvăloiu, 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. Păvăloiu, 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. Păvăloiu, 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. Păvăloiu, 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. Păvăloiu, Aitken-Steffensen-type methods for nonsmooth functions (I), Rev. Anal. Numer. Theor. Approx., 31 (2002) no.1, pp 111-116.
  86. I. Păvăloiu, Aitken-Steffensen-type methods for nonsmooth functions (II), Rev. Anal. Numer. Theor. Approx., 31 (2002) no.2, pp 191-196.
  87. E. Cătinaş and I. Păvăloiu, 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. Cătinaş and I. Păvăloiu, 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 Clujeană (2002).
  89. Gh. Coman, I. Păvăloiu, 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. Păvăloiu, 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. Păvăloiu, Aitken-Steffensen-type methods for nonsmooth functions (III), Rev. Anal. Numer. Theor. Approx., 32 (2003) no.1.
  92. I. Păvăloiu, Emil Cătinaş, On the Chebyshev method, with numerical applications to the eigenpair problem, Analele Universităţii de Vest Timişoara, Seria Matem. si Inform., vol. 41, fasc. Special 2003, pp. 183-191.
  93. I. Păvăloiu, On the convergence order of some Aitken-Steffensen type methods, Rev. Anal. Numer. Theor. Approx., 32, 2 (2003), pp.193-202.
  94. I. Păvăloiu, On approximating the inverse of a matrix, Creative math., 12 (2003), pp.15-20.
  95. I. Păvăloiu, Local Convergence of General Steffensen Type Methods, Rev. Anal. Numer. Theor. Approx., 33, 1 (2004) pp. 79-86.
  96. Ion Păvăloiu, Local convergence of Some Newton Type Methods for Nonlinear Systems, Rev. Anal. Numer. Theor. Approx., 33, 2 (2004), pp. 209-213.
  97. I. Păvăloiu, Acclerating the convergence of the iterative methods of interpolatory type, Rev. Anal. Numer. Theor. Approx., 34: 2 (2005), 169-173.
  98. I.Păvăloiu, Bilateral Approximations of Solutions of Equations by Order Three Steffensen-Type Methods, Studia Univ. Babeş-Bolyai, Mathematica, Vol LI, Nr.3, 2006, pp.105-114.
  99. I.Păvăloiu, 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 Păvăloiu, E. Cătinaş, On a Aitken Type Method, Rev. Anal. Numer. Theor. Approx. Tom 36 Nr.2 (2007) pp. 171-174.
  101. I. Păvăloiu, E. Cătinaş, 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. Păvăloiu and C. Mustăţa, Institutul de Calcul "T. Popoviciu" la semicentenar, Academica, Nr.60-61, XVIII, (197-198), 2007, pp.55-57.
  103. Gh. Coman, I. Păvăloiu, Academician D.D. Stancu at his eightieth birthday anniversary, Rev. Anal. Numer. Theor. Approx. 34, Nr.1, (2007), pp.5-8.
  104. Păvăloiu I., O metoda de tip Aitken - Steffensen - Hermite de ordinul 3, Seminarul Tiberiu Popoviciu de Ecuaţii Funcţionale, Aproximare şi convexitate, 24 - 27 septembrie 2008, Cluj-Napoca. pp.37-41.
  105. I. Păvăloiu and E. Cătinaş, On a Steffensen-Hermite method of order three, Applied Mathematics and Computation 215 (2009), pp. 2663-2672.
  106. I. Păvăloiu, A unified treatment of the modified Newton and chord methods, Carpathian J. Math. 25, no. 2, 2009, pp. 192-196

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