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Rectangular and polar representations of a complex matrix

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Publication:3773179
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DOI10.1080/00207728708967156zbMath0634.65029OpenAlexW2129593335MaRDI QIDQ3773179

Norman P. Coleman, Jason Sheng-Hong Tsai, Leang San Shieh

Publication date: 1987

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207728708967156


zbMATH Keywords

phaseeigenvaluescanonical formseigenvectorsamplitudematrix functionsmatrix sign functionmatrix arctangent function


Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Eigenvalues, singular values, and eigenvectors (15A18) Canonical forms, reductions, classification (15A21)




Cites Work

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  • Computation of roots of real and complex matrices
  • A fast method for computing the principal \(n\)-th roots of complex matrices
  • A faster, more stable method for comuting the pth roots of positive definite matrices
  • Algebra-geometric approach for the model reduction of large-scale multivariable systems
  • Some properties of matrix sign functions derived from continued fractions
  • Matrix sector functions and their applications to systems theory
  • Computation of the principal nth roots of complex matrices
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