Some new Properties of Sequence Spaces and Application to the Continued Fractions
Bruno de Malafosse (2001)
Matematički Vesnik
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Bruno de Malafosse (2001)
Matematički Vesnik
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Rajesh Pereira, Joanna Boneng (2014)
Special Matrices
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We generalize the theory of positive diagonal scalings of real positive definite matrices to complex diagonal scalings of complex positive definite matrices. A matrix A is a diagonal scaling of a positive definite matrix M if there exists an invertible complex diagonal matrix D such that A = D*MD and where every row and every column of A sums to one. We look at some of the key properties of complex diagonal scalings and we conjecture that every n by n positive definite matrix has at...
Bruno de Malafosse (2000)
Matematički Vesnik
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Balanov, Z., Krawcewicz, W., Kushkuley, A., Zabreiko, P.P. (2000)
Zeitschrift für Analysis und ihre Anwendungen
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Johnson, Charles R., Kroschel, Brenda K. (1996)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Sharkawi, I.E. (1989)
Publications de l'Institut Mathématique. Nouvelle Série
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M. Rajesh Kannan, K.C. Sivakumar (2014)
Discussiones Mathematicae - General Algebra and Applications
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Let A and B be M-matrices satisfying A ≤ B and J = [A,B] be the set of all matrices C such that A ≤ C ≤ B, where the order is component wise. It is rather well known that if A is an M-matrix and B is an invertible M-matrix and A ≤ B, then aA + bB is an invertible M-matrix for all a,b > 0. In this article, we present an elementary proof of a stronger version of this result and study corresponding results for certain other classes as well.
Özdemir, Halim, Sarduvan, Murat (2008)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Fallat, Shaun M., Johnson, Charles R., Smith, Ronald L. (2000)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Williams, Lloyd K. (1989)
International Journal of Mathematics and Mathematical Sciences
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Ondřej Došlý (1987)
Časopis pro pěstování matematiky
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