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math-ph2026
Recursive construction of spectral basis and its application to matrices
A. Acus, A. Dargys
We prove a recursive formula for construction of generalized spectral basis. Example of application is presented for symbolic computation with non-diagonalizable matrix that descri…
math-ph2026
Square roots of complexified quaternions
Adolfas Dargys, Arturas Acus
Square roots of complexified (complex) quaternions, namely, the Hamilton quaternion, coquaternion, nectorine, and conectorine are investigated. The isomorphisms between the complex…