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On the Number of Nonscalar Multiplications Necessary to Evaluate Polynomials

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inferredcites →https://doi.org/10.1002/cpa.3160230204openalex-snapshot
On the number of multiplications necessary to compute certain functions
inferredcites →https://doi.org/10.1007/bf01386049openalex-snapshot
The evaluation of polynomials

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Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Polynomials with 0-1 coefficients that are hard to evaluate
inferred← citeshttps://doi.org/10.1109/sfcs.1978.7openalex-snapshot
An optimal lower bound on the number of total operations to compute 0-1 polynomials over the field of complex numbers
inferred← citeshttps://doi.org/10.1109/sfcs.1992.267812openalex-snapshot
Fast algorithms for matrix normal forms
inferred← citeshttps://doi.org/10.1109/sp63933.2026.00173openalex-snapshot
APEX: Accurate Parallel Expressive Homomorphic Execution for Encrypted Databases
inferred← citeshttps://doi.org/10.1109/sp63933.2026.00226openalex-snapshot
Efficient Arithmetic-and-Comparison Homomorphic Encryption with Space Switching
inferred← citeshttps://doi.org/10.1109/synasc.2011.17openalex-snapshot
Long Integers and Polynomial Evaluation with Estrin's Scheme
inferred← citeshttps://doi.org/10.1109/tac.1979.1102005openalex-snapshot
A note on the evaluation of matrix polynomials
inferred← citeshttps://doi.org/10.1109/tdsc.2022.3218793openalex-snapshot
Hercules: Boosting the Performance of Privacy-Preserving Federated Learning
inferred← citeshttps://doi.org/10.1109/tdsc.2025.3579365openalex-snapshot
BitBatSPIR: Efficient Batch Symmetric Private Information Retrieval From PSI
inferred← citeshttps://doi.org/10.1109/tdsc.2025.3630273openalex-snapshot
STEED: Space and Time-Efficient Encrypted Database Using FHE
inferred← citeshttps://doi.org/10.1109/tifs.2019.2946097openalex-snapshot
Improving the Efficiency of SVM Classification With FHE
inferred← citeshttps://doi.org/10.1109/tifs.2022.3188145openalex-snapshot
Efficient Homomorphic Evaluation on Large Intervals
inferred← citeshttps://doi.org/10.1109/tifs.2023.3348246openalex-snapshot
An Efficient and Scalable FHE-Based PDQ Scheme: Utilizing FFT to Design a Low Multiplication Depth Large-Integer Comparison Algorithm
inferred← citeshttps://doi.org/10.1109/tifs.2025.3550059openalex-snapshot
Labeled Private Set Intersection From Distributed Point Function
inferred← citeshttps://doi.org/10.1109/tifs.2025.3558580openalex-snapshot
FHECAP: An Encrypted Control System With Piecewise Continuous Actuation
inferred← citeshttps://doi.org/10.1109/wifs.2016.7823916openalex-snapshot
Image denoising in the encrypted domain
inferred← citeshttps://doi.org/10.1112/s1461157000001534openalex-snapshot
A Point Counting Algorithm Using Cohomology with Compact Support
inferred← citeshttps://doi.org/10.1137/0205013openalex-snapshot
On the Number of Additions to Compute Specific Polynomials
inferred← citeshttps://doi.org/10.1137/0207004openalex-snapshot
Polynomials with 0-1 Coefficients That are Hard to Evaluate
inferred← citeshttps://doi.org/10.1137/080716426openalex-snapshot
Computing the Fréchet Derivative of the Matrix Exponential, with an Application to Condition Number Estimation
inferred← citeshttps://doi.org/10.1137/090763202openalex-snapshot
New Scaling-Squaring Taylor Algorithms for Computing the Matrix Exponential
inferred← citeshttps://doi.org/10.1137/0914008openalex-snapshot
Reducing the Symmetric Matrix Eigenvalue Problem to Matrix Multiplications
inferred← citeshttps://doi.org/10.1137/10081232xopenalex-snapshot
A Schur–Padé Algorithm for Fractional Powers of a Matrix
inferred← citeshttps://doi.org/10.1137/11083352xopenalex-snapshot
Controlling Errors in Recursive Fermi–Dirac Operator Expansions with Applications in Electronic Structure Theory
inferred← citeshttps://doi.org/10.1137/120894294openalex-snapshot
Aggressively Truncated Taylor Series Method for Accurate Computation of Exponentials of Essentially Nonnegative Matrices
inferred← citeshttps://doi.org/10.1137/130911585openalex-snapshot
Interior Eigenvalues from Density Matrix Expansions in Quantum Mechanical Molecular Dynamics
inferred← citeshttps://doi.org/10.1137/140973979openalex-snapshot
New Algorithms for Computing the Matrix Sine and Cosine Separately or Simultaneously
inferred← citeshttps://doi.org/10.1137/14098003xopenalex-snapshot
The Scaling, Splitting, and Squaring Method for the Exponential of Perturbed Matrices
inferred← citeshttps://doi.org/10.1137/16m1057577openalex-snapshot
Matrix Inverse Trigonometric and Inverse Hyperbolic Functions: Theory and Algorithms
inferred← citeshttps://doi.org/10.1137/18m1170352openalex-snapshot
Computing the Wave-Kernel Matrix Functions
inferred← citeshttps://doi.org/10.1137/18m1228876openalex-snapshot
An Arbitrary Precision Scaling and Squaring Algorithm for the Matrix Exponential
inferred← citeshttps://doi.org/10.1137/19m1263431openalex-snapshot
Computing Enclosures for the Matrix Exponential
inferred← citeshttps://doi.org/10.1137/21m1441043openalex-snapshot
Arbitrary Precision Algorithms for Computing the Matrix Cosine and its Fréchet Derivative
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