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JOURNALS // Zapiski Nauchnykh Seminarov POMI

Zap. Nauchn. Sem. POMI, 2013, Volume 419, Pages 111–120 (Mi znsl5740)

On bounding inverses to Nekrasov matrices in the infinity norm
L. Yu. Kolotilina

This publication is cited in the following articles:
  1. Lei Gao, Xian-Ming Gu, Xiudan Jia, Chaoqian Li, “Upper triangulation-based infinity norm bounds for the inverse of Nekrasov matrices with applications”, Numer Algor, 2024  crossref
  2. Zhenhua Lyu, Dan Liu, Shiyun Wang, Feng Gao, “A note on infinity norm bounds for the inverses of Nekrasov matrices”, Math Methods in App Sciences, 2024  crossref
  3. Yi Liu, Lei Gao, Tianxu Zhao, “Partially doubly strictly diagonally dominant matrices with applications”, era, 31:5 (2023), 2994  crossref
  4. Xiaodong Wang, Feng Wang, “Infinity norm upper bounds for the inverse of $ {SDD_k} $ matrices”, MATH, 8:10 (2023), 24999  crossref
  5. L. Yu. Kolotilina, “Upper Bounds for ‖A−1Q‖∞”, J Math Sci, 272:4 (2023), 533  crossref
  6. Ksenija Doroslovački, Dragana Cvetković, “On Matrices with Only One Non-SDD Row”, Mathematics, 11:10 (2023), 2382  crossref
  7. L. Yu. Kolotilina, “Verkhnie otsenki dlya $\|A^{-1}Q\|_\infty$”, Chislennye metody i voprosy organizatsii vychislenii. XXXV, Zap. nauchn. sem. POMI, 514, POMI, SPb., 2022, 77–87  mathnet
  8. L. Yu. Kolotilina, “Further Block Generalizations of Nekrasov Matrices”, J Math Sci, 262:1 (2022), 42  crossref
  9. Lixin Zhou, Zhen-Hua Lyu, Jianzhou Liu, “The Schur Complement of $\gamma $-Dominant Matrices”, Bull. Iran. Math. Soc., 48:6 (2022), 3701  crossref
  10. Xiaoyong Chen, Yating Li, Liang Liu, Yaqiang Wang, “Infinity norm upper bounds for the inverse of $ SDD_1 $ matrices”, MATH, 7:5 (2022), 8847  crossref
  11. Cvetkovic D.L. Cvetkovic L. Li Ch., “Ckv-Type Matrices With Applications”, Linear Alg. Appl., 608 (2021), 158–184  crossref  mathscinet  zmath  isi
  12. L. Yu. Kolotilina, “Dalneishie blochnye obobscheniya matrits Nekrasova”, Chislennye metody i voprosy organizatsii vychislenii. XXXIV, Zap. nauchn. sem. POMI, 504, POMI, SPb., 2021, 70–101  mathnet
  13. Nedovic M., Cvetkovic L., “Norm Bounds For the Inverse and Error Bounds For Linear Complementarity Problems For (P-1, P-2)-Nekrasov Matrices”, Filomat, 35:1 (2021), 239–250  crossref  mathscinet  isi
  14. Nedovic M., “Norm Bounds For the Inverse For Generalized Nekrasov Matrices in Point-Wise and Block Case”, Filomat, 35:8 (2021), 2705–2714  crossref  mathscinet  isi
  15. Gao L. Liu Q. Li Ch. Li Ya., “On (P-1, P-2)-Nekrasov Matrices”, Bull. Malays. Math. Sci. Soc., 44:5 (2021), 2971–2999  crossref  mathscinet  isi
  16. Héctor Orera, Juan Manuel Peña, “Error bounds for linear complementarity problems of $B_{\pi }^R$-matrices”, Comp. Appl. Math., 40:3 (2021)  crossref
  17. Gao L., Liu Q., “New Upper Bounds For the Infinity Norm of Nekrasov Matrices”, J. Math. Inequal., 14:3 (2020), 723–733  crossref  mathscinet  zmath  isi  scopus
  18. Li Ch., “Schur Complement-Based Infinity Norm Bounds For the Inverse of Sdd Matrices”, Bull. Malays. Math. Sci. Soc., 43:5 (2020), 3829–3845  crossref  mathscinet  isi  scopus
  19. L. Yu. Kolotilina, “Ob odnom blochnom obobschenii matrits Nekrasova”, Chislennye metody i voprosy organizatsii vychislenii. XXXIII, Zap. nauchn. sem. POMI, 496, POMI, SPb., 2020, 138–155  mathnet
  20. Li Ch. Cvetkovic L. Wei Y. Zhao J., “An Infinity Norm Bound For the Inverse of Dashnic-Zusmanovich Type Matrices With Applications”, Linear Alg. Appl., 565 (2019), 99–122  crossref  mathscinet  zmath  isi  scopus
  21. Wang Ya., Gao L., “An Improvement of the Infinity Norm Bound For the Inverse of (P1,P2)-Nekrasov Matrices”, J. Inequal. Appl., 2019, 177  crossref  mathscinet  isi
  22. L. Yu. Kolotilina, “Matritsy nekrasovskogo tipa i otsenki dlya ikh obratnykh”, Chislennye metody i voprosy organizatsii vychislenii. XXXII, Zap. nauchn. sem. POMI, 482, POMI, SPb., 2019, 169–183  mathnet
  23. L. Yu. Kolotilina, “Nekotorye novye klassy nevyrozhdennykh matrits i verkhnie otsenki dlya ikh obratnykh”, Chislennye metody i voprosy organizatsii vychislenii. XXXII, Zap. nauchn. sem. POMI, 482, POMI, SPb., 2019, 184–200  mathnet
  24. L. Yu. Kolotilina, “Nekotorye otsenki obratnykh, zavisyaschie ot struktury razrezhennosti matrits”, Chislennye metody i voprosy organizatsii vychislenii. XXXII, Zap. nauchn. sem. POMI, 482, POMI, SPb., 2019, 201–219  mathnet
  25. H. Orera, J.M. Peña, “Infinity norm bounds for the inverse of Nekrasov matrices using scaling matrices”, Applied Mathematics and Computation, 358 (2019), 119  crossref
  26. L. Gao, Ya. Wang, Ch. Li, “New error bounds for the linear complementarity problem of $QN$ -matrices”, Numer. Algorithms, 77:1 (2018), 229–242  crossref  mathscinet  zmath  isi  scopus
  27. L. Yu. Kolotilina, “O matritsakh Dashnitsa–Zusmanovicha (DZ) i matritsakh tipa Dashnitsa–Zusmanovicha (DZT) i ikh obratnykh”, Chislennye metody i voprosy organizatsii vychislenii. XXXI, Zap. nauchn. sem. POMI, 472, POMI, SPb., 2018, 145–165  mathnet
  28. Ch. Li, P. Dai, Ya. Li, “New error bounds for linear complementarity problems of Nekrasov matrices and $B$-Nekrasov matrices”, Numer. Algorithms, 74:4 (2017), 997–1009  crossref  mathscinet  zmath  isi  scopus
  29. L. Yu. Kolotilina, “New subclasses of the class of $\mathcal H$-matrices and related bounds for the inverses”, J. Math. Sci. (N. Y.), 224:6 (2017), 911–925  mathnet  crossref  mathscinet
  30. L. Yu. Kolotilina, “Bounds on the $l_\infty$ norm of inverses for certain block matrices”, J. Math. Sci. (N. Y.), 216:6 (2016), 816–824  mathnet  crossref  mathscinet
  31. Gao L., Li Ch., Li Ya., “A New Upper Bound on the Infinity Norm of the Inverse of Nekrasov Matrices”, J. Appl. Math., 2014, 708128  crossref  mathscinet  isi  elib  scopus
  32. L. Yu. Kolotilina, “Bounds for the inverses of generalized Nekrasov matrices”, J. Math. Sci. (N. Y.), 207:5 (2015), 786–794  mathnet  crossref


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