Generalized Hessenberg matrices.

DOI10.1016/S0024-3795(03)00555-XzbMath1044.15007MaRDI QIDQ1428612

Zdeněk Vavřín, Miroslav Fiedler

Publication date: 29 March 2004

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

Hessenberg matrixStructure rankSubdiagonal rank

Mathematics Subject Classification ID

Factorization of matrices (15A23) Matrices over special rings (quaternions, finite fields, etc.) (15B33)

Related Items

A note on the nullity theorem ⋮ An identity between the determinant and the permanent of Hessenberg-type matrices ⋮ Inverses of generalized Hessenberg matrices ⋮ Hybrid Ikebe-Newton's iteration for inverting general nonsingular Hessenberg matrices ⋮ A Cholesky LR algorithm for the positive definite symmetric diagonal-plus-semiseparable eigenproblem ⋮ Block Hessenberg matrices and spectral transformations for matrix orthogonal polynomials on the unit circle ⋮ A note on generalized Hessenberg matrices

Cites Work

• Completing a matrix when certain entries of its inverse are specified
• Structure ranks of matrices
• Generalized totally nonnegative matrices
• Generalized oscillatory matrices
• More on structure-ranks of matrices

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