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Special Matrices, 2015 In this paper we characterize Moore-Penrose inverses of Gram matrices leaving a cone invariant in an indefinite inner product space using the indefinite matrix multiplication. This characterization includes the acuteness (or obtuseness) of certain closed
Kurmayya T., Appi Reddy K.
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The American Mathematical Monthly, 1974
(1974). Inner Product Spaces. The American Mathematical Monthly: Vol. 81, No. 1, pp. 29-36.
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(1974). Inner Product Spaces. The American Mathematical Monthly: Vol. 81, No. 1, pp. 29-36.
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1998
Abstract In this chapter we consider ways of ‘multiplying’ two vectors in a vector space V to give a scalar. Such a product is called an inner product, or scalar product, and the theory is based initially on a familiar example (sometimes called the dot product) on three-dimensional vectors in ℝ3. To begin with, we consider real vector
Richard Kaye, Robert Wilson
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Abstract In this chapter we consider ways of ‘multiplying’ two vectors in a vector space V to give a scalar. Such a product is called an inner product, or scalar product, and the theory is based initially on a familiar example (sometimes called the dot product) on three-dimensional vectors in ℝ3. To begin with, we consider real vector
Richard Kaye, Robert Wilson
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An inner product space on irreducible and synchronizable probabilistic finite state automata
Math. Control. Signals Syst., 2012Patrick Adenis, Yicheng Wen, A. Ray
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An inner product space approach to image coding by contractive transformations
IEEE International Conference on Acoustics, Speech, and Signal Processing, 1991G. Øien, S. Lepsøy, T. Ramstad
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Strictly Positive Definite Functions on a Real Inner Product Space
Advances in Computational Mathematics, 2004A. Pinkus
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1990
For x = (x1,...,xn),y = (y1,...,yn two points in Rn we define the distance from x to y by $$ d(x,y) = \sqrt {(x_1 - y_1 )^2 + \cdots + (x_n - y_n )^2 } . $$
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For x = (x1,...,xn),y = (y1,...,yn two points in Rn we define the distance from x to y by $$ d(x,y) = \sqrt {(x_1 - y_1 )^2 + \cdots + (x_n - y_n )^2 } . $$
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Numerical radius inequalities for indefinite inner product space operators
Advances in Operator Theory, 2023Wu Deyu
exaly
On angles between subspaces of a finite dimensional inner product space
, 1983P. Wedin
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