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A Fourier-Jacobi Dirichlet series for cusp forms on orthogonal groups. [PDF]
Res Number TheoryPsyroukis R.
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A Robust Method for Validating Orientation Sensors Using a Robot Arm as a High-Precision Reference. [PDF]
Sensors (Basel)Kuti J, Piricz T, Galambos P.
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On Complex Split Quaternion Matrices
Advances in Applied Clifford Algebras, 2013Soon after Hamilton's discovery of the quaternion algebra, James Cockle introduced the so-called split quaternions: they have the same vector space but one defines \(i^2=-1\), \(j^2=k^2=1\), \(ijk=1\). Split quaternions also do not obey the commutative law, but there are divisors of zero, nilpotent elements and nontrivial idempotents. Furthermore, they
Erdoğdu, Melek, Özdemir, Mustafa
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On Eigenvalues of Split Quaternion Matrices
Advances in Applied Clifford Algebras, 2013A method for finding left eigenvalues of split quaternion matrices is established. Existence of right eigenvalues of a split quaternion matrix satisfying some equation is proved. The authors also show that the Gershgorin theorem which provides an inclusion disc for left eigenvalues of quaternion matrices also holds for split quaternion matrices.
Erdoğdu, Melek, Özdemir, Mustafa
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Weighted Minimization Problems for Quaternion Matrices
Advances in Applied Clifford Algebras, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kyrchei, Ivan I. +2 more
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Commutativity for Matrices of Quaternions
Canadian Journal of Mathematics, 1968For any ring we shall denote by the ring of all n × n matrices with elements from and by the set of all polynomials in x with coefficients from . will denote the non-commutative four-dimensional division algebra of real quaternions with 1, i1, i2, i3 as ...
Carlson, R. E., Cullen, C. G.
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2020
This chapter contains some basic knowledge on quaternions, Toeplitz and Hankel matrices and we introduce some useful maps which allow to consider, instead of quaternionic matrices, complex matrices of double size. For more information about quaternionic matrices, the interested reader may consult, e.g., Rodman’s book [97]. We also recall the notions of
Daniel Alpay +2 more
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This chapter contains some basic knowledge on quaternions, Toeplitz and Hankel matrices and we introduce some useful maps which allow to consider, instead of quaternionic matrices, complex matrices of double size. For more information about quaternionic matrices, the interested reader may consult, e.g., Rodman’s book [97]. We also recall the notions of
Daniel Alpay +2 more
openaire +1 more source