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Geometrical and spectral properties of the orthogonal projections of the identity
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نویسنده
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gonzález l. ,suárez a. ,garcía d.
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منبع
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journal of applied mathematics - 2013 - دوره : 2013 - شماره : 0
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چکیده
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We analyze the best approximation a n (in the frobenius sense) to the identity matrix in an arbitrary matrix subspace a s (a ∈ r n × n nonsingular,s being any fixed subspace of r n × n). some new geometrical and spectral properties of the orthogonal projection a n are derived. in particular,new inequalities for the trace and for the eigenvalues of matrix a n are presented for the special case that a n is symmetric and positive definite. © 2013 luis gonzález et al.
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آدرس
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department of mathematics,university of las palmas de gran canaria,campus de tafira, Spain, department of mathematics,university of las palmas de gran canaria,campus de tafira, Spain, department of mathematics,university of las palmas de gran canaria,campus de tafira, Spain
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Authors
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