MUMBAI, India, Aug. 31 -- Intellectual Property India has published a patent application (202641099091 A) filed by Dr. Ch. Chandra Sekhar; Dr. Jugal Kishore; Dr. Ch. Suresh; Dr. Ravi Kumar Davala; Dr. N. Rajashekar; Ms. Akkaraju Lalitha; Dr. A. Asha; and Dr. Nellore Manoj Kumar on August 17, 2026, for Method And System For Enhancing Computational Efficiency Using Jacobsthal And Jacobsthal-Lucas Numbers Determinants.
Inventors include Dr. Ch. Chandra Sekhar; Dr. Jugal Kishore; Dr. Ch. Suresh; Dr. Ravi Kumar Davala; Dr. N. Rajashekar; Ms. Akkaraju Lalitha; Dr. A. Asha; and Dr. Nellore Manoj Kumar.
The application for the patent was published on August 28, 2026, under issue no. 35/2026.
Abstract: A computer-implemented method and system for enhancing the computational efficiency of a technical system using determinant identities of Jacobsthal and Jacobsthal-Lucas numbers is disclosed. A computation analysis module determines whether a technical computation of the system entails or is reducible to a determinant of a structured matrix, a tridiagonal, Toeplitz, Hessenberg, or circulant matrix with constant or sequence-derived entries, of a family for which such a determinant identity holds, or a sequence or transform derived therefrom. An evaluation module then obtains the determinant or derived quantity from the corresponding Jacobsthal or Jacobsthal-Lucas number or closed-form expression, rather than by a general cubic-cost method, a number generation submodule computing the requisite number by linear recurrence, logarithmic-cost fast doubling, or closed form, and in modular arithmetic where required. An integration module substitutes the efficient evaluation within the technical system, a cryptographic apparatus, error-correcting encoder or decoder, or signal-processing apparatus, so that it performs its technical function with reduced computation, time, energy, or hardware, particularly upon resource-constrained processors, the result being verified identical to the general method.
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