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[PDF] Top 20 Lower bounds for some factorable matrices

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Lower bounds for some factorable matrices

Lower bounds for some factorable matrices

... the lower bounds question for the Rhaly matrices, and obtained some partial ...Rhaly matrices, as special cases of factorable ... See full document

13

On the norms of circulant and r circulant matrices with the hyperharmonic Fibonacci numbers

On the norms of circulant and r circulant matrices with the hyperharmonic Fibonacci numbers

... r-circulant matrices with the harmonic and hyperharmonic Fibonacci ...present some definitions, preliminaries, and lemmas related to our ...r-circulant matrices and give lower and upper ... See full document

11

Navigating  in  the  Cayley  graph  of $SL_2(F_p)$   and  applications  to  hashing

Navigating in the Cayley graph of $SL_2(F_p)$ and applications to hashing

... (in some cases) produce collisions in the group generated by A and B, but not in the positive ...of matrices, there are no known attacks at this time that would affect security of the corresponding hash ... See full document

10

Some Bounds on Eigenvalues of the Hadamard Product and the Fan Product of Matrices

Some Bounds on Eigenvalues of the Hadamard Product and the Fan Product of Matrices

... paper, some mixed type bounds on the spectral radius ρ ( A ◦ B ) for the Hadamard product of two nonnegative matrices (A and B) and the minimum eigenvalue τ ( C ? D ) of the Fan product of two ... See full document

10

New inequalities on eigenvalues of the Hadamard product and the Fan product of matrices

New inequalities on eigenvalues of the Hadamard product and the Fan product of matrices

... nonnegative matrices A and B, we exhibit some new upper bounds for ρ(A ◦ B) in Section ..., some new lower bounds for τ (A B) of M-matrices are ...Finally, some ... See full document

11

Bounds for Eigenvalues of Arrowhead Matrices and Their Applications to Hub Matrices and Wireless Communications

Bounds for Eigenvalues of Arrowhead Matrices and Their Applications to Hub Matrices and Wireless Communications

... study lower and upper bounds of arrowhead matrices is from Kung and Suter’s recent work on the hub matrix theory [9] and its applications to multiple- input and multiple output (MIMO) wireless ... See full document

12

The lower bounds for the rank of matrices and some sufficient conditions for nonsingular matrices

The lower bounds for the rank of matrices and some sufficient conditions for nonsingular matrices

... obtained some improved reverses of Young type inequalities for matrices, Zou and Peng [] presented some trace inequalities for matrix means, Zou and Jiang [] gave a note on interpolation between ... See full document

8

Some New Bounds for the Hadamard Product of a Nonsingular M-matrix and Its Inverse

Some New Bounds for the Hadamard Product of a Nonsingular M-matrix and Its Inverse

... nonnegative matrices and the Fan product of two M-matrices are two special matrices ...upper bounds for the spectral radius ρ(A ◦ B) of the Hadamard product of two nonnegative matrices ... See full document

10

Monotone Projection Lower Bounds from Extended Formulation Lower Bounds

Monotone Projection Lower Bounds from Extended Formulation Lower Bounds

... has some computational quirks: in particular, although the permanent of integer matrices is #P-complete and the permanent is VNP-complete in characteristic zero, the permanent mod 2 is the same as the ... See full document

15

On the norms of an r circulant matrix with the generalized k Horadam numbers

On the norms of an r circulant matrix with the generalized k Horadam numbers

... other upper and lower bounds for the spectral norms of r-circulant matrices associated with the k-Fibonacci and k-Lucas numbers, respectively. It is clear that the same study about similar subject ... See full document

8

Analysis of Memory Footprints of Sparse Matrices Partitioned Into Uniformly-Sized Blocks

Analysis of Memory Footprints of Sparse Matrices Partitioned Into Uniformly-Sized Blocks

... sparse matrices with respect to their partitioning into uniformly-sized ...partitioned matrices are then compared with their lower bounds and CSR, index- compressed CSR, and EBF storage ... See full document

17

Computing Lower Bounds of µ-Values for a Class of Rotary Electrical Machines

Computing Lower Bounds of µ-Values for a Class of Rotary Electrical Machines

... of lower bounds of well-known mathematical quantity in control theory known as structured singular value for a family of structured matrices obtained for a DC Motor, that is an electrical ...of ... See full document

14

On The Frobenius Condition Number of Positive Definite Matrices

On The Frobenius Condition Number of Positive Definite Matrices

... present some lower bounds for the Frobenius condition number of a positive definite matrix depending on trace, determinant, and Frobenius norm of a positive definite matrix and compare these results ... See full document

11

On the spectral norms of r circulant matrices with the biperiodic Fibonacci and Lucas numbers

On the spectral norms of r circulant matrices with the biperiodic Fibonacci and Lucas numbers

... r-circulant matrices whose entries are special integer se- quences ...and lower bounds for the spectral norms of r-circulant matrices in the forms A = C r (F  , F  , F  , ... See full document

12

Optimal Estimation of Low Rank Density Matrices

Optimal Estimation of Low Rank Density Matrices

... density matrices are positively semi-definite Hermitian matrices of unit trace that describe the state of a quantum ...minimax lower bounds on error rates of estimation of low rank density ... See full document

36

Lower Bounds for Data Structures with Space Close to Maximum Imply Circuit Lower Bounds

Lower Bounds for Data Structures with Space Close to Maximum Imply Circuit Lower Bounds

... structure lower bounds and matrix ...data-structure lower bounds to other challenges in computational ...data-structure lower bound, even against space s = ... See full document

9

On the Norms of r Toeplitz Matrices Involving Fibonacci and Lucas Numbers

On the Norms of r Toeplitz Matrices Involving Fibonacci and Lucas Numbers

... Toeplitz matrices, which have connections with signal and image processing, time series analysis and many other problems ...found lower and upper bounds for the spectral norms of Toeplitz ... See full document

9

Some New Results on Determinantal Inequalities and Applications

Some New Results on Determinantal Inequalities and Applications

... and lower bounds on determinants are presented for diagonally dominant matri- ces and general H-matrices by using different ...These bounds are some improvements of results given by ... See full document

16

Some new estimations for the upper and lower bounds for the spectral radius of nonnegative matrices

Some new estimations for the upper and lower bounds for the spectral radius of nonnegative matrices

... But in fact, ρ(A ◦ B) = .. So inequality in () does not hold in this example. Thus the upper bound in () does not apply for all spectral radius of the Hadamard product of non- negative matrices. Since the ... See full document

14

On Lower and Upper Bounds of Matrices

On Lower and Upper Bounds of Matrices

... the lower bounds for N¨ orlund matrices and motivated by this, we apply a similar idea to that used in the proof of Theorem 4 in [3] to prove the following Lemma ... See full document

18

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