A note on different conditions of the unique solvability for the absolute value equation

Publish Year: 1403
نوع سند: مقاله ژورنالی
زبان: English
View: 51

This Paper With 5 Page And PDF Format Ready To Download

  • Certificate
  • من نویسنده این مقاله هستم

استخراج به نرم افزارهای پژوهشی:

لینک ثابت به این Paper:

شناسه ملی سند علمی:

JR_IJNAA-15-3_030

تاریخ نمایه سازی: 17 اسفند 1402

Abstract:

In this study, we compare the different conditions which are used to detect the unique solvability of the absolute value equation (AVE) Ax- B \vert x \vert =b. Also, analyzing which condition is more suitable to use according to our problem and later, we will see the advantage and disadvantages of different unique solvability conditions. Further, we take an example where existing conditions are invalid to judge the unique solvability of the AVE.

Authors

Rakesh Kumar

Delhi Skill and Entrepreneurship University, Sector-۹, Dwarka, New Delhi, India

Amar Deep

Department of Applied Science, IIMT Engineering College Meerut, Uttar Pradesh, India

Shubham Kumar

Mathematics Discipline, PDPM- Indian Institute of Information Technology, Design and Manufacturing, Jabalpur-۴۸۲۰۰۵, Madhya Pradesh, India

مراجع و منابع این Paper:

لیست زیر مراجع و منابع استفاده شده در این Paper را نمایش می دهد. این مراجع به صورت کاملا ماشینی و بر اساس هوش مصنوعی استخراج شده اند و لذا ممکن است دارای اشکالاتی باشند که به مرور زمان دقت استخراج این محتوا افزایش می یابد. مراجعی که مقالات مربوط به آنها در سیویلیکا نمایه شده و پیدا شده اند، به خود Paper لینک شده اند :
  • M. Achache and N. Hazzam, Solving absolute value equations via ...
  • M. Achache and N. Anane, On unique solvability and Picard’s ...
  • R. Ali and K. Pan, The new iteration methods for ...
  • R. Ali, I. Khan, A. Ali, and A. Mohamed, Two ...
  • R. Ali, K. Pan, and A. Ali, Two new iteration ...
  • N. Anane and M. Achache, Preconditioned conjugate gradient methods for ...
  • M. Dehghan and A. Shirilord, Matrix multisplitting Picard-iterative method for ...
  • V. Edalatpour, D. Hezari, and D.K. Salkuyeh, A generalization of ...
  • A.F. Jahromi and N.N. Shamsa, An optimized AOR iterative method ...
  • Y.F. Ke and C.F. Ma, SOR-like iteration method for solving ...
  • A. Khan, J. Iqbal, A. Akgul, R. Ali, Y. Du, ...
  • S. Kumar and Deepmala, A note on the unique solvability ...
  • S. Kumar and Deepmala, On unique solvability of the piecewise ...
  • S. Kumar and Deepmala, A note on unique solvability of ...
  • S. Kumar and Deepmala, The unique solvability conditions for a ...
  • S.L. Hu and Z.H. Huang, A note on absolute value ...
  • T. Lotfi and H. Veiseh, A note on unique solvability ...
  • O.L. Mangasarian and R.R. Meyer, Absolute value equations, Linear Algebra ...
  • O.L. Mangasarian, Absolute value programming, Comput. Optim. Appl. ۳۶ (۲۰۰۷), ...
  • O.L. Mangasarian, Absolute value equation solution via concave minimization, Optim. ...
  • O.L. Mangasarian, A generalized Newton method for absolute value equations, ...
  • O.L. Mangasarian, Absolute value equation solution via dual complementarity, Optim. ...
  • O.L. Mangasarian, Absolute value equation solution via linear programming, J. ...
  • O.L. Mangasarian, A hybrid algorithm for solving the absolute value ...
  • F. Mezzadri, On the solution of general absolute Value Equations, ...
  • O.A. Prokopyev, On equivalent reformulations for absolute value equations, Comput. ...
  • J. Rohn, A theorem of the alternatives for the equation ...
  • J. Rohn, On unique solvability of the absolute value equation, ...
  • J. Rohn, V. Hooshyarbakhsh, and R. Farhadsefat, An iterative method ...
  • S.L. Wu and C.X. Li, The unique solution of the ...
  • S.L. Wu and C.X. Li, A note on unique solvability ...
  • S.L. Wu and S. Shen, On the unique solution of ...
  • نمایش کامل مراجع