Relations between the fields of values of a matrix and of its polar factors: The 2x2 real and complex case

zbMath0528.15006MaRDI QIDQ786883

Frank Uhlig

Publication date: 1983

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

zbMATH Keywords

numerical rangepolar decompositionunitarypositive definite

Mathematics Subject Classification ID

Factorization of matrices (15A23) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items

The Field of Values of a Complex Matrix, an Explicit Description in the $2 \times 2$ Case, The relation between the numerical range W(A^n) and W(A) for the 2 times 2 complex matrix

Cites Work

• Explicit polar decomposition and a near-characteristic polynomial: the \(2\times 2\) case
• The Field of Values of a Complex Matrix, an Explicit Description in the $2 \times 2$ Case