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Generalized Hessenberg Matrices
- 1.0103299 - UIVT-O 20040040 RIV US eng J - Článek v odborném periodiku
Fiedler, Miroslav - Vavřín, Zdeněk
Generalized Hessenberg Matrices.
[Zobecněné Hessenbergovy matice.]
Linear Algebra and Its Applications. Roč. 380, - (2004), s. 95-105. ISSN 0024-3795. E-ISSN 1873-1856
Grant CEP: GA AV ČR IAA1030003
Výzkumný záměr: CEZ:AV0Z1030915
Klíčová slova: Hessenberg matrix * structure rank * subdiagonal rank
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 0.501, rok: 2004
DOI: https://doi.org/10.1016/S0024-3795(03)00555-X
Citováno: 8
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--- VANDEBRIL, R. - VAN B.a.r.e.l.,. .M. - MASTRONARDI, N. A note on the representation and definition of semiseparable matrices. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS. ISSN 1070-5325, OCT 2005, vol. 12, no. 8, Sp. Iss. SI, p. 839-858. [WOS]
--- ELSNER, L. A note on generalized Hessenberg matrices. LINEAR ALGEBRA AND ITS APPLICATIONS. ISSN 0024-3795, NOV 1 2005, vol. 409, p. 147-152. [WOS]
--- PLESTENJAK, B. - VAN BAREL, M. - VAN CAMP, E. A Cholesky LR algorithm for the positive definite symmetric diagonal-plus-semiseparable eigenproblem. LINEAR ALGEBRA AND ITS APPLICATIONS. ISSN 0024-3795, JAN 15 2008, vol. 428, no. 2-3, p. 586-599. [WOS]
--- VANDEBRIL, R. - GOLUB, G. - VAN BAREL, M. A QUASI-SEPARABLE APPROACH TO SOLVE THE SYMMETRIC DEFINITE TRIDIAGONAL GENERALIZED EIGENVALUE PROBLEM. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS. ISSN 0895-4798, 2009, vol. 31, no. 1, p. 154-174. [WOS]
--- MARRERO, J.A. - RACHIDI, M. Inverses of generalized Hessenberg matrices. LINEAR & MULTILINEAR ALGEBRA. ISSN 0308-1087, MAR 4 2015, vol. 63, no. 3, p. 559-570. [WOS]
--- DA FONSECA, C.M. An identity between the determinant and the permanent of Hessenberg-type matrices. CZECHOSLOVAK MATHEMATICAL JOURNAL. ISSN 0011-4642, DEC 2011, vol. 61, no. 4, p. 917-921. [WOS]
--- MARRERO, J.A. - RACHIDI, M. Hybrid Ikebe-Newton's iteration for inverting general nonsingular Hessenberg matrices. APPLIED MATHEMATICS AND COMPUTATION. ISSN 0096-3003, OCT 1 2015, vol. 268, p. 413-421. [WOS]
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