A new algorithm for a recursive construction of the minimal interpolation space |
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| Affiliation: | 1. Environmental Risk Assessment and Management (EnRAM) Lab, Centre for Rural Development and Technology, Indian Institute of Technology Delhi, New Delhi 110016, India;2. Applied Biology Lab, Centre for Rural Development and Technology, Indian Institute of Technology Delhi, New Delhi 110016, India;3. School of Environmental Sciences, Jawaharlal Nehru University, New Delhi 110067, India;4. CSIR-National Environmental Engineering Research Institute, Nagpur 440020, Maharashtra, India;1. Key Laboratory of Chemical Additives for China National Light Industry, College of Chemistry and Chemical Engineering, Shaanxi University of Science and Technology, Xi''an 710021, PR China;2. Centro de Química Estrutural, Institute of Molecular Sciences, Departamento de Engenharia Química, Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais, 1049-001 Lisbon, Portugal;3. College of Chemistry and Chemical Engineering, Lanzhou University, Lanzhou 730000, PR China |
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| Abstract: | In this work, we introduce a new interpolation algorithm, based on a recursive method for computing Lagrange interpolants. This algorithm allows to construct recursively the minimal interpolation space (see 1]) with respect to a finite set of points. We also extend this recursive method to the osculatory interpolation problem. |
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