Results 291 to 300 of about 6,970,988 (348)
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Numerical Linear Algebra with Applications, 2004
AbstractGiven the operator product BA in which both A and B are symmetric positive‐definite operators, for which symmetric positive‐definite operators C is BA symmetric positive‐definite in the C inner product 〈x, y〉C? This question arises naturally in preconditioned iterative solution methods, and will be answered completely here.
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AbstractGiven the operator product BA in which both A and B are symmetric positive‐definite operators, for which symmetric positive‐definite operators C is BA symmetric positive‐definite in the C inner product 〈x, y〉C? This question arises naturally in preconditioned iterative solution methods, and will be answered completely here.
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A VLSI inner product macrocell
IEEE Transactions on Very Large Scale Integration (VLSI) Systems, 1998Microcontrollers for embedded computer applications require a library of dedicated macrocells for specific applications. Arithmetic and basic DSP computations may be too inefficient when computed by software on the core CPU of the microcontroller. The architecture of a VLSI macrocell, for the ST9 microcontroller (8 bit), dedicated to the computation of
BREVEGLIERI, LUCA ODDONE, DADDA, LUIGI
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A New Algorithm for Inner Product
IEEE Transactions on Computers, 1968Abstract—In this note we describe a new way of computing the inner product of two vectors. This method cuts down the number of multiplications required when we want to perform a large number of inner products on a smaller set of vectors. In particular, we obtain that the product of two n×n matrices can be performed using roughly n3/2 multiplications ...
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1995
Real and complex inner product spaces are defined and several examples are studied. Elementary properties of inner products, such as the Cauchy–Schwarz–Bunyakovsky Theorem and Minkowski’s inequality are proven. The Lagrange identity relating inner and cross products in three-dimensional real vector spaces is proven.
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Real and complex inner product spaces are defined and several examples are studied. Elementary properties of inner products, such as the Cauchy–Schwarz–Bunyakovsky Theorem and Minkowski’s inequality are proven. The Lagrange identity relating inner and cross products in three-dimensional real vector spaces is proven.
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Semi-Inner Products and the Concept of Semi-Polarity
, 2013The lack of an inner product structure in Banach spaces yields the motivation to introduce a semi-inner product with a more general axiom system, one missing the requirement for symmetry, unlike the one determining a Hilbert space.
Á. Horváth, Z. Lángi, M. Spirova
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1978
So far in our study of vector spaces and linear transformations we have made no use of the notions of length and angle, although these concepts play an important role in our intuition for the vector algebra of ℝ2 and ℝ3. In fact the length of a vector and the angle between two vectors play very important parts in the further development of linear ...
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So far in our study of vector spaces and linear transformations we have made no use of the notions of length and angle, although these concepts play an important role in our intuition for the vector algebra of ℝ2 and ℝ3. In fact the length of a vector and the angle between two vectors play very important parts in the further development of linear ...
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Fuzzy Sets and Systems, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. Saheli, S. Khajepour Gelousalar
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. Saheli, S. Khajepour Gelousalar
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Dory: Efficient, Transparent arguments for Generalised Inner Products and Polynomial Commitments
IACR Cryptology ePrint Archive, 2020Jonathan Lee
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On vectorial inner product spaces
Czechoslovak Mathematical Journal, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Comments on "Inner Product Computers"
IEEE Transactions on Computers, 1979The results for different hardware configurations of inner product computers presented by Swartzlander et al.1 are in error. In their Table I, the pipelined quasi-serial processor is credited with the ability to evaluate a complete inner product in 10 ns. The clock rate may be 10 ns but several clocks are required to evaluate one inner product.
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